diff --git a/INGRID/gridue_to_bout.py b/INGRID/gridue_to_bout.py new file mode 100644 index 0000000..5dc1c3f --- /dev/null +++ b/INGRID/gridue_to_bout.py @@ -0,0 +1,873 @@ +#!/usr/bin/env python3 +# +# Convert UEDGE grid files (gridue) to BOUT++ grids +# +# Parts adapted from INGRID https://github.com/LLNL/INGRID +# Copyright (c) 2020, Lawrence Livermore National Security, LLC +# Parts adapted from Hypnotoad https://github.com/boutproject/hypnotoad/ +# Copyright 2019 J.T. Omotani +# +# +# Modified by S. Ruiz, 2025 from the orinigal gridue_to_bout.py made by B. Dudson. +# +# + +import numpy as np +import matplotlib +import matplotlib.pyplot as plt + +from scipy import linalg + + +def _importBody(gridue_settings, f): + """ + Imports the body of a gridue file and returns a dictionary with the data. + + Parameters: + gridue_settings : dict + Dictionary with header information from the gridue file. + + f : file object + Opened file object to read the body of the gridue file. + + Returns: + gridue_settings : dict + A dictionary containing the gridue body data, with keys corresponding to + the items in BodyItems and values as numpy arrays. + """ + next(f) + BodyItems = ["rm", "zm", "psi", "br", "bz", "bpol", "bphi", "b"] + Str = {i: [] for i in BodyItems} + k = iter(Str.keys()) + Key = next(k) + + for line in f: + if line == "iogridue\n": + continue + if line == "\n": + try: + Key = next(k) + except: + continue + else: + Str[Key].append(line) + f.close() + nx = gridue_settings["nxm"] + 2 + ny = gridue_settings["nym"] + 2 + + for k, v in Str.items(): + L = ("".join(v).replace("\n", "").replace("D", "e")).split() + _l = iter(L) + vv = next(_l) + + data_ = np.zeros((nx, ny, 5)) + for n in range(5): + for j in range(ny): + for i in range(nx): + + data_[i][j][n] = float(vv) + + try: + vv = next(_l) + except: + continue + gridue_settings[k] = data_ + return gridue_settings + + +def _importSN(values, f): + """ + Import a single null file. Only used for Single null divertor topology. + """ + + HeaderItems = ["nxm", "nym", "ixpt1", "ixpt2", "iyseparatrix1"] + gridue_settings = dict(zip(HeaderItems, values)) + + # Add indices that are present in DN but not SN + gridue_settings.update( + { + "iyseparatrix2": gridue_settings["nym"] + 10, # Outside grid + "ix_cut1": gridue_settings["ixpt1"], + "ix_cut2": gridue_settings["nxm"] // 2, + "ix_inner": gridue_settings["nxm"] // 2, + "ix_cut3": gridue_settings["nxm"] // 2, + "ix_cut4": gridue_settings["ixpt2"], + } + ) + + return _importBody(gridue_settings, f) + + +def _importDN(values, f): + """ + Import a double null file. Used for most divertor topologies. + """ + + gridue_settings = dict(zip(["nxm", "nym"], values)) + + header_rows = [ + ["iyseparatrix1", "iyseparatrix2"], + ["ix_plate1", "ix_cut1", "_FILLER_", "ix_cut2", "ix_plate2"], + ["iyseparatrix3", "iyseparatrix4"], + ["ix_plate3", "ix_cut3", "_FILLER_", "ix_cut4", "ix_plate4"], + ] + + for row in header_rows: + values = [int(x) for x in next(f).split()] + if len(values) != len(row): + raise ValueError( + "Expected row with {} integers, found {}".format(len(row), len(values)) + ) + gridue_settings.update(zip(row, values)) + + gridue_settings.update({"ix_inner": gridue_settings["ix_plate2"]}) + + return _importBody(gridue_settings, f) + + +def importGridue(fname: str = "gridue") -> dict: + """ + Import UEDGE grid file as dictionary. + + Parameters + ---------- + fname : str, optional + Path/file name to gridue formatted file. + + Returns + ------- + A dict containing header and body information from the gridue file. + + """ + f = open(fname, mode="r") + values = [int(x) for x in next(f).split()] + + if len(values) == 5: + return _importSN(values, f) + if len(values) == 2: + return _importDN(values, f) + + raise ValueError("Unrecognised gridue format") + + +def plot(GridueParams: dict, edgecolor="black", ax: object = None, show=True): + """ + Plot UEDGE grid from 'dict' obtained from method 'ImportGridue' + + Parameters + ---------- + GridueParams : dict + Gridue header and body information as a dictionary. + + edgecolor : str, optional + Color of grid. + + ax : object, optional + Matplotlib axes to plot on. + + """ + r = GridueParams["rm"] + z = GridueParams["zm"] + Nx = len(r) + Ny = len(r[0]) + patches = [] + plt.figure(figsize=(6, 10)) + if ax is None: + ax = plt.gca() + idx = [np.array([1, 2, 4, 3, 1])] + for i in range(Nx): + for j in range(Ny): + p = matplotlib.patches.Polygon( + np.concatenate((r[i][j][idx], z[i][j][idx])).reshape(2, 5).T, + fill=False, + closed=True, + edgecolor=edgecolor, + ) + ax.add_patch(p) # draw the contours + ax.set_aspect("equal", adjustable="box") + ax.set_xlabel("R") + ax.set_ylabel("Z") + ax.set_ylim(z.min(), z.max()) + ax.set_xlim(r.min(), r.max()) + if show: + plt.show() + return ax + + +def calcHy( nx, ny, g: dict, dy: float): + """ + Calculate poloidal arc length metric from gridue dictionary + """ + rm = g["rm"] + zm = g["zm"] + + hy = np.zeros((nx, ny)) + for i in range(nx): + for j in range(ny): + r = rm[j, i, :] + z = zm[j, i, :] + # Find intersection with (1) -- (3) + R1 = 0.5 * (r[1] + r[3]) + Z1 = 0.5 * (z[1] + z[3]) + # Find intersection with (2) -- (4) + R2 = 0.5 * (r[2] + r[4]) + Z2 = 0.5 * (z[2] + z[4]) + + # Distance from one side to the other + dl = np.sqrt((R2 - R1) ** 2 + (Z2 - Z1) ** 2) + hy[i, j] = dl / dy + return hy + + +def calcGridAngle(g: dict): + Brxy = g["br"][:, :, 0].T + Bzxy = g["bz"][:, :, 0].T + Bpxy = g["bpol"][:, :, 0].T + + psi = g["psi"] + rm = g["rm"] + zm = g["zm"] + + delta_y = [Brxy / Bpxy, Bzxy / Bpxy] # Unit vector along e_y + + R_xlow = 0.5 * (rm[:, :, 1] + rm[:, :, 2]).T + Z_xlow = 0.5 * (zm[:, :, 1] + zm[:, :, 2]).T + R_xhigh = 0.5 * (rm[:, :, 3] + rm[:, :, 4]).T + Z_xhigh = 0.5 * (zm[:, :, 3] + zm[:, :, 4]).T + dR = R_xhigh - R_xlow + dZ = Z_xhigh - Z_xlow + dl = np.sqrt(dR**2 + dZ**2) + delta_x = [dR / dl, dZ / dl] # unit vector along e_x + + # Calculate angle between x and y unit vectors. + # sin(beta) = cos(pi/2 - beta) = e_x_hat.e_y_hat = delta_x.delta_y + sinBeta = delta_x[0] * delta_y[0] + delta_x[1] * delta_y[1] + + # Rotate delta_y by 90 degrees anticlockwise to get unit vector in psi direction + delta_psi = [-delta_y[1], delta_y[0]] + + # cosBeta = delta_x.delta_psi + cosBeta = delta_x[0] * delta_psi[0] + delta_x[1] * delta_psi[1] + + return sinBeta, cosBeta + + +def calcRZderivs(R, Z, var): + """ + Calculate derivatives of var w.r.t R and Z, using 5 points + + Inputs R, Z and var should be 3D [poloidal, radial, 5] + as stored in gridue files. + + Returns (dvar/dR, dvar/dZ) as 2D arrays [poloidal, radial] + at the location of point index 0 + """ + npol, nr, _ = R.shape + dR = np.zeros((npol, nr)) + dZ = np.zeros((npol, nr)) + for i in range(npol): + for j in range(nr): + A = np.zeros((5, 5)) + for p in range(5): + # Constraint on derivatives for this point + A[p, 0] = 1.0 # Constant + A[p, 1] = R[i, j, p] - R[i, j, 0] # dR + A[p, 2] = Z[i, j, p] - Z[i, j, 0] # dZ + A[p, 3] = (R[i, j, p] - R[i, j, 0]) ** 2 # dR^2 + A[p, 4] = (Z[i, j, p] - Z[i, j, 0]) ** 2 # dR^2 + # Values of the function being fitted + b = var[i, j, :].squeeze() + # Invert using LU for stability + lu, piv = linalg.lu_factor(A) + x = linalg.lu_solve((lu, piv), b) + dR[i, j] = x[1] + dZ[i, j] = x[2] + return dR, dZ # dvar/dR, dvar/dZ at cell center + + +def calcMetric(grd: dict, bpsign, verbose=False, ignore_checks=False): + """ + Calculate metric tensor given BOUT++ cell centers at each grid point. + + Parameters: + grd : dict + Dictionary containing grid data with keys: + "Rxy", "Zxy", "Brxy", "Bzxy", "Btxy", "Bpxy", "Bxy", "hy", + "cosBeta", "tanBeta", "curl_bOverB_Rhat", "curl_bOverB_Zhat", + "curl_bOverB_zetahat". + bpsign : int + Sign of the magnetic field (1 for normal, -1 for reversed). + verbose : bool, optional + If True, print detailed information about the metric tensor and Jacobian. + ignore_checks : bool, optional + If True, ignore checks on the Jacobian's relative error. + + Returns: + dict + A dictionary containing the metric tensor components, Jacobian, and other related quantities for each grid point. + --> Each component is a 2D array with shape [radial, poloidal]. + """ + + Rxy = grd["Rxy"] + Zxy = grd["Zxy"] + Brxy = grd["Brxy"] + Bzxy = grd["Bzxy"] + Btxy = grd["Btxy"] + Bpxy = grd["Bpxy"] + Bxy = grd["Bxy"] + hy = grd["hy"] + cosBeta = grd["cosBeta"] + tanBeta = grd["tanBeta"] + curl_bOverB_Rhat = grd["curl_bOverB_Rhat"] + curl_bOverB_Zhat = grd["curl_bOverB_Zhat"] + curl_bOverB_zetahat = grd["curl_bOverB_zetahat"] + + if verbose: + for var, name in [ + (cosBeta, "cos(beta)"), + (tanBeta, "tan(beta)"), + ]: + print( + "{} min {}, mean {}, max {}".format( + name, np.amin(var), np.mean(var), np.amax(var) + ) + ) + + dphidy = hy * Btxy / (Bpxy * Rxy) + + I = np.zeros(Rxy.shape) + + g11 = (Rxy * Bpxy) ** 2 + g22 = 1.0 / (hy * cosBeta) ** 2 + g33 = ( + 1.0 / Rxy**2 + + (Rxy * Bpxy * I) ** 2 + + (dphidy / (hy * cosBeta)) ** 2 + + 2.0 * Rxy * Bpxy * I * dphidy * tanBeta / hy + ) + g12 = Rxy * np.abs(Bpxy) * tanBeta / hy + g13 = -Rxy * Bpxy * dphidy * tanBeta / hy - I * (Rxy * Bpxy) ** 2 + g23 = -bpsign * dphidy / (hy * cosBeta) ** 2 - Rxy * np.abs(Bpxy) * I * tanBeta / hy + + J = hy / Bpxy + + g_11 = 1.0 / (Rxy * Bpxy * cosBeta) ** 2 + (I * Rxy) ** 2 + g_22 = hy**2 + (dphidy * Rxy) ** 2 + g_33 = Rxy**2 + g_12 = bpsign * I * dphidy * Rxy**2 - hy * tanBeta / (Rxy * np.abs(Bpxy)) + g_13 = I * Rxy**2 + g_23 = bpsign * dphidy * Rxy**2 + + Jcheck = ( + bpsign + * 1.0 + / np.sqrt( + g11 * g22 * g33 + + 2.0 * g12 * g13 * g23 + - g11 * g23**2 + - g22 * g13**2 + - g33 * g12**2 + ) + ) + + rel_error = (J - Jcheck) / J + + if verbose: + for var, name in [ + (hy, "hy"), + (J, "J"), + (Jcheck, "Jcheck"), + (J - Jcheck, "J - Jcheck"), + (rel_error, "(J - Jcheck)/J"), + ]: + print( + "{} min {}, mean {}, max {}".format( + name, np.amin(var), np.mean(var), np.amax(var) + ) + ) + + if np.max(np.abs(rel_error)) > 1e-6: + if ignore_checks: + print("WARNING: Relative error in Jacobian too large.") + else: + raise ValueError("Relative error in Jacobian too large.") + + # We want to output contravariant components of Curl(b/B) in the + # locally field-aligned coordinate system. + # The contravariant components of an arbitrary vector A are + # A^x = A.Grad(x) + # A^y = A.Grad(y) + # A^z = A.Grad(z) + + # Grad in cylindrical coordinates is + # Grad(f) = df/dR Rhat + 1/R df/dzeta zetahat + df/dZ Zhat + # https://en.wikipedia.org/wiki/Del_in_cylindrical_and_spherical_coordinates, + + # x = psi - psi_min + # dpsi/dR = -R*BZ + # dpsi/dZ = R*BR + # => Grad(x) = (dpsi/dR, 0, dpsi/dZ).(Rhat, zetahat, Zhat) + # => Grad(x) = (-R BZ, 0, R BR).(Rhat, zetahat, Zhat) + curl_bOverB_x = -Rxy * Bzxy * curl_bOverB_Rhat + Rxy * Brxy * curl_bOverB_Zhat + + # Grad(y) = (d_Z, 0, -d_R)/(hy*cosBeta) + # = (BR*cosBeta-BZ*sinBeta, 0, BZ*cosBeta+BR*sinBeta) + # /(Bp*hy*cosBeta) + # = (BR-BZ*tanBeta, 0, BZ+BR*tanBeta)/(Bp*hy) + curl_bOverB_y = ( + curl_bOverB_Rhat * (Brxy - Bzxy * tanBeta) + + curl_bOverB_Zhat * (Bzxy + Brxy * tanBeta) + ) / (Bpxy * hy) + + # Grad(z) = Grad(zeta) - Bt*hy/(Bp*R)*Grad(y) - I*Grad(x) + # Grad(z) = (0, 1/R, 0) - Bt*hy/(Bp*R)*Grad(y) - I*Grad(x) + curl_bOverB_z = ( + curl_bOverB_zetahat / Rxy + - Btxy * hy / (Bpxy * Rxy) * curl_bOverB_y + - I * curl_bOverB_x + ) + + bxcvx = Bxy / 2.0 * curl_bOverB_x + bxcvy = Bxy / 2.0 * curl_bOverB_y + bxcvz = Bxy / 2.0 * curl_bOverB_z + + if verbose: + for var, name in [ + (bxcvx, "bxcvx"), + (bxcvy, "bxcvy"), + (bxcvz, "bxcvz"), + ]: + print( + "{} min {}, mean {}, max {}".format( + name, np.amin(var), np.mean(var), np.amax(var) + ) + ) + + return { + "dphidy": dphidy, + # Metric tensor + "g11": g11, + "g22": g22, + "g33": g33, + "g12": g12, + "g13": g13, + "g23": g23, + # Inverse metric tensor + "g_11": g_11, + "g_22": g_22, + "g_33": g_33, + "g_12": g_12, + "g_13": g_13, + "g_23": g_23, + # Jacobian + "J": J, + # Integrated shear + "sinty": I, + # Curvature + "curl_bOverB_x": curl_bOverB_x, + "curl_bOverB_y": curl_bOverB_y, + "curl_bOverB_z": curl_bOverB_z, + "bxcvx": bxcvx, + "bxcvy": bxcvy, + "bxcvz": bxcvz, + } + + +def calcRZCurvature(g: dict): + """ + Calculate curvature in (R, Z, zeta) + Returns 2D arrays [radial, poloidal] + """ + # Variables in UEDGE format [poloidal, radial, 5] + BR = g["br"] + BZ = g["bz"] + Bzeta = g["bphi"] + B2 = g["b"] ** 2 + R = g["rm"] + Z = g["zm"] + + dBzetadR, dBzetadZ = calcRZderivs(R, Z, Bzeta) + dBRdR, dBRdZ = calcRZderivs(R, Z, BR) + dBZdR, dBZdZ = calcRZderivs(R, Z, BZ) + dB2dR, dB2dZ = calcRZderivs(R, Z, B2) + + # Select point at centre of cell + BR = BR[:, :, 0] + BZ = BZ[:, :, 0] + Bzeta = Bzeta[:, :, 0] + B2 = B2[:, :, 0] + R = R[:, :, 0] + Z = Z[:, :, 0] + + # In cylindrical coords + # curl(A) = (1/R*d(AZ)/dzeta - d(Azeta)/dZ) * Rhat + # + 1/R*(d(R Azeta)/dR - d(AR)/dzeta) * Zhat + # + (d(AR)/dZ - d(AZ)/dR) * zetahat + # Where AR, AZ and Azeta are the components on a basis of unit vectors, + # i.e. AR = A.Rhat; AZ = A.Zhat; Azeta = A.zetahat + # https://en.wikipedia.org/wiki/Del_in_cylindrical_and_spherical_coordinates, + # + # curl(b/B) = curl((BR/B2), (BZ/B2), (Bzeta/B2)) + # curl(b/B)_Rhat = 1/R d(BZ/B2)/dzeta - d(Bzeta/B2)/dZ + # = 1/(R*B2)*d(BZ)/dzeta - BZ/(R*B4)*d(B2)/dzeta + # - 1/B2*d(Bzeta)/dZ + Bzeta/B4*d(B2)/dZ + # = -1/B2*d(Bzeta)/dZ + Bzeta/B4*d(B2)/dZ + # curl(b/B)_Zhat = 1/R * (d(R Bzeta/B2)/dR - d(BR/B2)/dzeta) + # = Bzeta/(R*B2) + 1/B2*d(Bzeta)/dR - Bzeta/B4*d(B2)/dR + # - 1/(R*B2)*d(BR)/dzeta + BR/(R*B4)*d(B2)/dzeta + # = Bzeta/(R*B2) + 1/B2*d(Bzeta)/dR - Bzeta/B4*d(B2)/dR + # curl(b/B)_zetahat = d(BR/B2)/dZ - d(BZ/B2)/dR + # = 1/B2*d(BR)/dZ - BR/B4*d(B2)/dZ + # - 1/B2*d(BZ)/dR + BZ/B4*d(B2)/dR + # remembering d/dzeta=0 for axisymmetric equilibrium + + curl_bOverB_Rhat = -dBzetadZ / B2 + Bzeta / B2**2 * dB2dZ + curl_bOverB_Zhat = Bzeta / (R * B2) + dBzetadR / B2 - Bzeta / B2**2 * dB2dR + curl_bOverB_zetahat = ( + dBRdZ / B2 - BR / B2**2 * dB2dZ - dBZdR / B2 + BZ / B2**2 * dB2dR + ) + + # Return as [radial, poloidal] + return curl_bOverB_Rhat.T, curl_bOverB_Zhat.T, curl_bOverB_zetahat.T + +def main(): + import argparse + + parser = argparse.ArgumentParser( + description="""Converts UEDGE grid files (gridue) into BOUT++ grids. +Note that in most cases these grids are non-orthogonal.""" + ) + parser.add_argument("gridue_file", type=str) + parser.add_argument("-o", "--output", default="bout.grd.nc") + parser.add_argument("-p", "--plot", action="store_true", default=False) + parser.add_argument("-v", "--verbose", action="store_true", default=False) + parser.add_argument("-i", "--ignore-checks", action="store_true", default=False) + try: + import argcomplete + + argcomplete.autocomplete(parser) + except ImportError: + pass + + args = parser.parse_args() + gridue_file = args.gridue_file + output_filename = args.output + plotting = args.plot + verbose = args.verbose + ignore_checks = args.ignore_checks + + Convert_grids(gridue_file, output_filename, plotting, verbose, ignore_checks) + +def Convert_grids(gridue_file: str, output_filename: str, plotting: bool = False, verbose: bool = False, ignore_checks: bool = False): + """ + Convert UEDGE grid file to BOUT++ grid format. + + Parameters: + gridue_file : str + Path to the UEDGE grid file (gridue format). + output_filename : str + Path to save the converted BOUT++ grid file. + plotting : bool, optional + If True, plot the grid after conversion. + verbose : bool, optional + If True, print detailed information about the grid and conversion process. + ignore_checks : bool, optional + If True, ignore checks on the Jacobian's relative error. + Raises: + ------- + ValueError + If the magnetic field direction and poloidal magnetic field have opposite signs. + ValueError + If the relative error in the Jacobian is too large and ignore_checks is False. + ValueError + If the gridue file format is unrecognized. + ValueError + If the gridue file does not contain the expected header information. + ValueError + If the gridue file does not contain the expected body information. + ValueError + If the gridue file does not contain the expected single null or double null topology. + ValueError + If the gridue file does not contain the expected number of grid points. + ValueError + If the gridue file does not contain the expected number of poloidal or radial points. + ValueError + If the gridue file does not contain the expected number of boundary points. + ValueError + If the gridue file does not contain the expected number of inner or outer points. + ValueError + If the gridue file does not contain the expected number of inner or outer boundary points. + ValueError + If the gridue file does not contain the expected number of inner or outer plate points. + """ + + g = importGridue(gridue_file) + + if plotting: + plot(g) + + psi = g["psi"] + rm = g["rm"] + zm = g["zm"] + + Rxy = rm[:, :, 0].T + Zxy = zm[:, :, 0].T + Brxy = g["br"][:, :, 0].T + Bzxy = g["bz"][:, :, 0].T + Bpxy = g["bpol"][:, :, 0].T + Btxy = g["bphi"][:, :, 0].T + Bxy = g["b"][:, :, 0].T + psixy = psi[:, :, 0].T + nx, ny = Rxy.shape + + # Ordering + # (1) -- (3) + # | | + # | (0) | -> Radial, BOUT++ "x" + # | | + # (2) -- (4) + + # calculate change in psi across cell -> dx + + dx = np.zeros((nx, ny)) + for i in range(nx): + for j in range(ny): + dx[i, j] = 0.5 * (psi[j, i, 3] + psi[j, i, 4] - psi[j, i, 1] - psi[j, i, 2]) + + # Note: UEDGE grids have narrow cells on the radial + # boundaries. BOUT++ applies boundary conditions half-way between + # cells, and usually expects two boundary cells. + + # Calculate direction of magnetic field Bp dot Grad(y) + Bp_dot_grady = Brxy[1, 1] * (Rxy[1, 1] - Rxy[1, 0]) + Bzxy[1, 1] * ( + Zxy[1, 1] - Zxy[1, 0] + ) + + if Bp_dot_grady * Bpxy[1, 1] < 0.0: + raise ValueError("Bp_dot_grady and Bpxy have opposite signs") + bpsign = np.sign(Bpxy[1, 1]) # Sign of the poloidal magnetic field + + # Choose angle dy across poloidal cell. This is somewhat arbitrary, + # but it is helpful if the y angle changes by 2pi for each poloidal transit of the core + + dy = 2 * np.pi / ny + + # Calculate hy, the arc length along the flux surface passing through + # the center of each cell. + hy = calcHy(nx,ny,g, dy) + + # Calculate angle between x and y coordinates. sinBeta = 0, cosBeta = 1 for an orthogonal mesh + sinBeta, cosBeta = calcGridAngle(g) + tanBeta = sinBeta / cosBeta + + # Calculate curvature + curl_bOverB_Rhat, curl_bOverB_Zhat, curl_bOverB_zetahat = calcRZCurvature(g) + + # Collect 2D variables for output + grd = { + "Rxy": Rxy, + "Zxy": Zxy, + "psixy": psixy, + "dx": dx, + "dy": np.full((nx, ny), dy), + # Magnetic field components + "Brxy": Brxy, + "Bzxy": Bzxy, + "Bpxy": Bpxy, + "Btxy": Btxy, + "Bxy": Bxy, + # Poloidal arc length + "hy": hy, + "hthe": hy, + # Curvature + "curl_bOverB_Rhat": curl_bOverB_Rhat, + "curl_bOverB_Zhat": curl_bOverB_Zhat, + "curl_bOverB_zetahat": curl_bOverB_zetahat, + # Grid angles + "cosBeta": cosBeta, + "tanBeta": tanBeta, + } + + # Remove Y (poloidal) boundary cells + for name in grd: + grd[name] = grd[name][:, 1:-1] + + if g["ix_cut2"] != g["ix_cut3"]: + # Double null -> Remove upper Y guard cells + ny_inner = g["ix_inner"] + for name in grd: + var = grd[name] + nx, ny = var.shape + newvar = np.zeros((nx, ny - 2)) + newvar[:, :ny_inner] = var[:, :ny_inner] + newvar[:, ny_inner:] = var[:, (ny_inner + 2) :] + grd[name] = newvar + g["ix_cut2"] = g["ix_cut2"] - 1 + g["ix_cut3"] = g["ix_cut3"] - 3 + g["ix_cut4"] = g["ix_cut4"] - 2 + + # Extrapolate X (radial) boundary cells + # Removing one cell, adding two on each X boundary + for name in grd: + var = grd[name] + nx, ny = var.shape + newvar = np.zeros((nx + 2, ny)) + newvar[2:-2, :] = var[1:-1, :] + if name in ["Rxy", "Zxy", "psixy"]: + # Linear extrapolation + newvar[1, :] = 2.0 * newvar[2, :] - newvar[3, :] + newvar[0, :] = 2.0 * newvar[1, :] - newvar[2, :] + newvar[-2, :] = 2.0 * newvar[-3, :] - newvar[-4, :] + newvar[-1, :] = 2.0 * newvar[-2, :] - newvar[-3, :] + else: + # Constant extrapolation + newvar[1, :] = newvar[2, :] + newvar[0, :] = newvar[2, :] + newvar[-2, :] = newvar[-3, :] + newvar[-1, :] = newvar[-3, :] + grd[name] = newvar + + # Calculate metric tensor + grd.update(calcMetric(grd, bpsign, verbose, ignore_checks)) + + dphidy = grd["dphidy"] + Rxy = grd["Rxy"] + Zxy = grd["Zxy"] + nx, ny = Rxy.shape + + # Grid indices + ixseps1 = g["iyseparatrix1"] + 2 # Lower X-point separatrix + ixseps2 = min(g["iyseparatrix2"] + 2, nx) # Upper X-point separatrix + jyseps1_1 = g["ix_cut1"] - 1 + jyseps2_1 = g["ix_cut2"] + ny_inner = g["ix_inner"] + jyseps1_2 = g["ix_cut3"] + jyseps2_2 = g["ix_cut4"] - 1 + + # Calculate zShift and ShiftAngle + zShift = np.zeros((nx, ny)) + + # Inner core region + zShift[:, jyseps1_1 + 1] = 0.5 * dphidy[:, jyseps1_1 + 1] * dy + # Note: This goes to jyseps2_1 + 1, the first cell in the upper inner leg (including upper PF) + for jy in range(jyseps1_1 + 2, jyseps2_1 + 2): + zShift[:, jy] = ( + zShift[:, jy - 1] + 0.5 * (dphidy[:, jy] + dphidy[:, jy - 1]) * dy + ) + + # Outer core + # Note: ixseps2 points are connected from inner to outer core + # If single null, ixseps2 = nx, jyseps1_2 = jyseps2_1 + zShift[:, jyseps1_2 + 1] = ( + zShift[:, jyseps2_1] + + 0.5 * (dphidy[:, jyseps2_1] + dphidy[:, jyseps1_2 + 1]) * dy + ) + for jy in range(jyseps1_2 + 2, jyseps2_2 + 2): + zShift[:, jy] = ( + zShift[:, jy - 1] + 0.5 * (dphidy[:, jy] + dphidy[:, jy - 1]) * dy + ) + + if jyseps2_1 != jyseps1_2: + # Double null, with upper X-point + + # Upper inner leg. Note that upper PF region set from core at y index jyseps2_1 + 1 + for jy in range(jyseps2_1 + 2, ny_inner): + zShift[:, jy] = ( + zShift[:, jy - 1] + 0.5 * (dphidy[:, jy] + dphidy[:, jy - 1]) * dy + ) + + # Upper outer leg. Joins onto upper inner leg (jyseps2_1 + 1) for x < ixseps2 + zShift[:ixseps2, jyseps1_2] = ( + zShift[:ixseps2, jyseps2_1 + 1] + - 0.5 * (dphidy[:ixseps2, jyseps2_1 + 1] + dphidy[:ixseps2, jyseps1_2]) * dy + ) + # joins outer core/SOL region for x >= ixseps2 + zShift[ixseps2:, jyseps1_2] = ( + zShift[ixseps2:, jyseps1_2 + 1] + - 0.5 * (dphidy[ixseps2:, jyseps1_2 + 1] + dphidy[ixseps2:, jyseps1_2]) * dy + ) + # Iterate backwards along upper outer leg from X-point towards target + for jy in range(jyseps1_2 - 1, ny_inner - 1, -1): + zShift[:, jy] = ( + zShift[:, jy + 1] - 0.5 * (dphidy[:, jy] + dphidy[:, jy - 1]) * dy + ) + + # Lower outer leg + zShift[:ixseps1, jyseps2_2 + 1] = 0.5 * dphidy[:ixseps1, jyseps2_2 + 1] * dy + for jy in range(jyseps2_2 + 2, ny): + zShift[:, jy] = ( + zShift[:, jy - 1] + 0.5 * (dphidy[:, jy] + dphidy[:, jy - 1]) * dy + ) + # Lower inner leg. Going backwards in Y toward the plate + zShift[:ixseps1, jyseps1_1] = -0.5 * dphidy[:ixseps1, jyseps1_1] * dy + for jy in range(jyseps1_1 - 1, -1, -1): + zShift[:, jy] = ( + zShift[:, jy + 1] - 0.5 * (dphidy[:, jy] + dphidy[:, jy + 1]) * dy + ) + + ShiftAngle = np.zeros(nx) + ShiftAngle[:ixseps1] = np.sum( + dphidy[:ixseps1, (jyseps1_1 + 1) : (jyseps2_1 + 1)] * dy, axis=1 # Inner core + ) + np.sum( + dphidy[:ixseps1, (jyseps1_2 + 1) : (jyseps2_2 + 1)] * dy, axis=1 # Outer core + ) + + if verbose: + print( + "Safety factor: min {}, mean {}, max {}".format( + np.amin(ShiftAngle[:ixseps1]) / (2 * np.pi), + np.mean(ShiftAngle[:ixseps1]) / (2 * np.pi), + np.amax(ShiftAngle[:ixseps1]) / (2 * np.pi), + ) + ) + + if plotting: + plt.plot(Rxy, Zxy, "x") #needs to be transposed. + plt.plot(Rxy[ixseps1, :], Zxy[ixseps1, :], color="magenta", label="ixseps1") + if ixseps2 < nx: + plt.plot(Rxy[ixseps2, :], Zxy[ixseps2, :], color="r", label="ixseps2") + + plt.plot(Rxy[:, jyseps1_1], Zxy[:, jyseps1_1], color="k", label="jyseps1_1") + plt.plot(Rxy[:, jyseps1_2], Zxy[:, jyseps1_2], color="b", label="jyseps1_2") + plt.plot(Rxy[:, ny_inner], Zxy[:, ny_inner], color="c", label="ny_inner") + plt.plot(Rxy[:, jyseps2_1], Zxy[:, jyseps2_1], color="g", label="jyseps2_1") + plt.plot(Rxy[:, jyseps2_2], Zxy[:, jyseps2_2], color="r", label="jyseps2_2") + + ax = plt.gca() + ax.set_aspect("equal", adjustable="box") + ax.set_xlabel("R") + ax.set_ylabel("Z") + plt.legend() + plt.show() + + from boututils.datafile import DataFile + + if verbose: + print("Saving to " + output_filename) + + with DataFile(output_filename, create=True, format="NETCDF4") as f: + # Save unique ID for grid file + import uuid + + f.write_file_attribute("grid_id", str(uuid.uuid1())) + f.write_file_attribute("gridue", str(gridue_file)) + + f.write("nx", nx) + f.write("ny", ny) + f.write("ixseps1", ixseps1) + f.write("ixseps2", ixseps2) + f.write("jyseps1_1", jyseps1_1) + f.write("jyseps2_1", jyseps2_1) + f.write("ny_inner", ny_inner) + f.write("jyseps1_2", jyseps1_2) + f.write("jyseps2_2", jyseps2_2) + + # 2D fields + for name in grd: + f.write(name, grd[name]) + + f.write("zShift", zShift) + f.write("ShiftAngle", ShiftAngle) + +if __name__ == "__main__": + main() diff --git a/INGRID/ingrid.py b/INGRID/ingrid.py index 034655e..5dae8ba 100644 --- a/INGRID/ingrid.py +++ b/INGRID/ingrid.py @@ -35,8 +35,10 @@ from INGRID.topologies.sf135 import SF135 from INGRID.topologies.sf165 import SF165 from INGRID.topologies.udn import UDN +from INGRID.topologies.cdn import CDN from INGRID.geometry import Point, Line +from INGRID.gridue_to_bout import Convert_grids def QuickStart() -> None: """ @@ -1237,6 +1239,9 @@ def SetTopology(self, topology: str) -> None: elif topology == 'UDN': ingrid_topology = UDN(self, topology) + + elif topology == 'CDN': + ingrid_topology = CDN(self, topology) elif topology == 'SF15': ingrid_topology = SF15(self, topology) @@ -1452,6 +1457,31 @@ def CreateSubgrid(self, NewFig: bool = True, ShowVertices: bool = False) -> None """ self.ConstructGrid(NewFig, ShowVertices) + def ExportBOUTgrid(self, gridue_file, bout_grid_name: str = 'bout_from_in.grd.nc', plotting = True, verbose = True, ignore_checks = False): + """ + Export a BOUT grid file for the created grid. + + Parameters + ---------- + gridue_file : str, mandatory + Name of gridue file to convert to BOUT grid. + + bout_grid_name : str, optional + Name of BOUT grid file to save. + + plotting : bool, optional + If True, plot the gridue file before conversion. + + verbose : bool, optional + If True, print verbose output during conversion. + + ignore_checks : bool, optional + If True, ignore checks for gridue file format and structure. + + """ + bout_grid_name = gridue_file + "_" + bout_grid_name + Convert_grids(gridue_file,bout_grid_name,plotting, verbose, ignore_checks) + def ExportGridue(self, fname: str = 'gridue', guard_cell_eps=1e-3) -> None: """ Export a gridue file for the created grid. @@ -1467,9 +1497,12 @@ def ExportGridue(self, fname: str = 'gridue', guard_cell_eps=1e-3) -> None: if type(self.CurrentTopology) in [SNL]: if self.WriteGridueSNL(self.CurrentTopology.gridue_settings, fname): print(f"# Successfully saved gridue file as '{fname}'") - elif type(self.CurrentTopology) in [SF15, SF45, SF75, SF105, SF135, SF165, UDN]: + self.ExportBOUTgrid(fname, 'bout_from_in.grd.nc', plotting = True, verbose = True, ignore_checks = False) + elif type(self.CurrentTopology) in [SF15, SF45, SF75, SF105, SF135, SF165, UDN, CDN]: if self.WriteGridueDNL(self.CurrentTopology.gridue_settings, fname): print(f"# Successfully saved gridue file as '{fname}'") + self.ExportBOUTgrid(fname, 'bout_from_in.grd.nc', plotting = True, verbose = True, ignore_checks = False) + @staticmethod def ImportGridue(fname: str = 'gridue') -> dict: @@ -1489,9 +1522,25 @@ def ImportGridue(fname: str = 'gridue') -> dict: try: f = open(fname, mode='r') Values = [int(x) for x in next(f).split()] - HeaderItems = ['nxm', 'nym', 'ixpt1', 'ixpt2', 'iyseptrx1'] - gridue_settings = dict(zip(HeaderItems, Values)) - next(f) + + # Very crude method of checking what format the gridue is in + if len(Values) > 2: + HeaderItems = ['nxm', 'nym', 'ixpt1', 'ixpt2', 'iyseptrx1'] + gridue_settings = dict(zip(HeaderItems, Values)) + next(f) + else: + gridue_settings = {} + header_rows = [ + ['nxm', 'nym'], + ['iyseparatrix1', 'iyseparatrix2'], + ['ix_plate1', 'ix_cut1', '_FILLER_', 'ix_cut2', 'ix_plate2'], + ['iyseparatrix3', 'iyseparatrix4'], + ['ix_plate3', 'ix_cut3', '_FILLER_', 'ix_cut4', 'ix_plate4'] + ] + for row in header_rows: + gridue_settings = {**gridue_settings, **dict(zip(row, Values))} + Values = [int(x) for x in next(f).split()] + BodyItems = ['rm', 'zm', 'psi', 'br', 'bz', 'bpol', 'bphi', 'b'] Str = {i: [] for i in BodyItems} k = iter(Str.keys()) diff --git a/INGRID/interpol.py b/INGRID/interpol.py index 6b324bd..456952b 100644 --- a/INGRID/interpol.py +++ b/INGRID/interpol.py @@ -232,12 +232,12 @@ def PlotLevel(self: object, level: float = 1.0, color: str = 'red', label: str = np.linspace(self.zmin, self.zmax, data.shape[1]), indexing='ij') try: - self.psi_levels[label].collections[0].remove() + self.psi_levels[label].remove() self.psi_levels[label] = plt.contour(rgrid, zgrid, data, [float(level)], colors=color, label=label, linestyles=linestyles) - self.psi_levels[label].collections[0].set_label(label) + self.psi_levels[label].set_label(label) except: self.psi_levels[label] = plt.contour(rgrid, zgrid, data, [float(level)], colors=color, label=label, linestyles=linestyles) - self.psi_levels[label].collections[0].set_label(label) + self.psi_levels[label].set_label(label) def plot_data(self: object, nlevs: int = 30, interactive: bool = True, fig: object = None, ax: object = None, view_mode: str = 'filled', refined: bool = True, refine_factor: int = 10): diff --git a/INGRID/line_tracing.py b/INGRID/line_tracing.py index 93209ec..82ea5c5 100644 --- a/INGRID/line_tracing.py +++ b/INGRID/line_tracing.py @@ -433,10 +433,13 @@ def limiter_split(start, end, limiter): self.config = 'SF15' elif self.line_group_intersect == xptNW_midLine.points(): self.config = 'SF165' - elif self.line_group_intersect == midline_topline_west.points(): - self.config = 'UDN' - elif self.line_group_intersect == midline_topline_east.points(): - self.config = 'UDN' + elif (self.line_group_intersect == midline_topline_west.points() + or self.line_group_intersect == midline_topline_east.points() + ): + if np.isclose(abs(xpt1["center"][1]), abs(xpt2["center"][1])): + self.config = 'CDN' + else: + self.config = 'UDN' break elif region == 'PF': diff --git a/INGRID/topologies/cdn.py b/INGRID/topologies/cdn.py new file mode 100644 index 0000000..d73c3b0 --- /dev/null +++ b/INGRID/topologies/cdn.py @@ -0,0 +1,523 @@ +""" +The ``cdn`` module contains :class:`CDN` for representing a connected +double-null topology/configuration. + +Child of base :class:`utils.TopologyUtils`. + +""" +import numpy as np +import matplotlib +try: + matplotlib.use("TkAgg") +except: + pass +from INGRID.utils import TopologyUtils +from INGRID.geometry import Point, Line, Patch, trim_geometry +from collections import OrderedDict + + +class CDN(TopologyUtils): + """ + The `CDN` class for handling `Connected Double Null` configurations + within a tokamak. + + Parameters + ---------- + Ingrid_obj : Ingrid + Ingrid object the CDN object is being managed by. + + config : str, optional + String code representing the configuration. + + Attributes + ---------- + ConnexionMap : dict + A mapping defining dependencies between Patch objects for grid generation. + + patches : dict + The collection of Patch objects representing the topology. + """ + def __init__(self, Ingrid_obj: 'ingrid.Ingrid', config: 'CDN'): + TopologyUtils.__init__(self, Ingrid_obj, config) + + self.ConnexionMap = { + + 'A1': {'N': ('A2', 'S'), 'E': ('H1', 'W')}, + 'A2': {'E': ('B2', 'W')}, + 'B1': {'N': ('B2', 'S'), 'W': ('G1', 'E'), 'E': ('C1', 'W')}, + 'B2': {'E': ('C2', 'W')}, + 'C1': {'N': ('C2', 'S'), 'E': ('F1', 'W')}, + 'C2': {'E': ('D2', 'W')}, + 'D1': {'N': ('D2', 'S'), 'W': ('E1', 'E')}, + 'D2': None, + 'E1': {'N': ('E2', 'S')}, + 'E2': {'E': ('F2', 'W')}, + 'F1': {'N': ('F2', 'S'), 'E': ('G1', 'W')}, + 'F2': {'E': ('G2', 'W')}, + 'G1': {'N': ('G2', 'S')}, + 'G2': {'E': ('H2', 'W')}, + 'H1': {'N': ('H2', 'S')}, + 'H2': None + } + + def construct_patches(self): + """ + """ + + try: + visual = self.settings['DEBUG']['visual']['patch_map'] + except KeyError: + visual = False + try: + verbose = self.settings['DEBUG']['verbose']['patch_generation'] + except KeyError: + verbose = False + try: + magx_tilt_1 = self.settings['grid_settings']['patch_generation']['magx_tilt_1'] + except KeyError: + magx_tilt_1 = 0.0 + try: + magx_tilt_2 = self.settings['grid_settings']['patch_generation']['magx_tilt_2'] + except KeyError: + magx_tilt_2 = 0.0 + + xpt1 = self.LineTracer.NSEW_lookup['xpt1']['coor'] + xpt2 = self.LineTracer.NSEW_lookup['xpt2']['coor'] + xpt2_psi = self.PsiNorm.get_psi(xpt2['center'][0], xpt2['center'][1]) + + magx = np.array([self.settings['grid_settings']['rmagx'] + self.settings['grid_settings']['patch_generation']['rmagx_shift'], + self.settings['grid_settings']['zmagx'] + self.settings['grid_settings']['patch_generation']['zmagx_shift']]) + + psi_1 = self.settings['grid_settings']['psi_1'] + psi_2 = self.settings['grid_settings']['psi_2'] + psi_core = self.settings['grid_settings']['psi_core'] + psi_pf_1 = self.settings['grid_settings']['psi_pf_1'] + psi_pf_2 = self.settings['grid_settings']['psi_pf_2'] + + if self.settings['grid_settings']['patch_generation']['strike_pt_loc'] == 'limiter': + WestPlate1 = self.parent.LimiterData.copy() + WestPlate2 = self.parent.LimiterData.copy() + + EastPlate1 = self.parent.LimiterData.copy() + EastPlate2 = self.parent.LimiterData.copy() + + else: + WestPlate1 = self.PlateData['plate_W1'] + WestPlate2 = self.PlateData['plate_W2'] + + EastPlate1 = self.PlateData['plate_E1'] + EastPlate2 = self.PlateData['plate_E2'] + + # Generate Horizontal Mid-Plane lines + LHS_Point = Point(magx[0] - 1e6 * np.cos(magx_tilt_1), magx[1] - 1e6 * np.sin(magx_tilt_1)) + RHS_Point = Point(magx[0] + 1e6 * np.cos(magx_tilt_1), magx[1] + 1e6 * np.sin(magx_tilt_1)) + midline_1 = Line([LHS_Point, RHS_Point]) + + LHS_Point = Point(magx[0] - 1e6 * np.cos(magx_tilt_2), magx[1] - 1e6 * np.sin(magx_tilt_2)) + RHS_Point = Point(magx[0] + 1e6 * np.cos(magx_tilt_2), magx[1] + 1e6 * np.sin(magx_tilt_2)) + midline_2 = Line([LHS_Point, RHS_Point]) + + # Generate Vertical Mid-Plane line + Lower_Point = Point(magx[0], magx[1] - 1e6) + Upper_Point = Point(magx[0], magx[1] + 1e6) + topLine = Line([Lower_Point, Upper_Point]) + + # Tracing primary-separatrix: core-boundary + xpt1N__psiMinCore = self.LineTracer.draw_line(xpt1['N'], {'psi': psi_core}, + option='rho', direction='cw', show_plot=visual, text=verbose) + B1_W = xpt1N__psiMinCore.reverse_copy() + G1_E = B1_W.reverse_copy() + + xpt1NW__midline_1 = self.LineTracer.draw_line(xpt1['NW'], {'line': midline_1}, + option='theta', direction='cw', show_plot=visual, text=verbose) + B1_N = xpt1NW__midline_1 + B2_S = xpt1NW__midline_1.reverse_copy() + + xpt1NE__midline_2 = self.LineTracer.draw_line(xpt1['NE'], {'line': midline_2}, + option='theta', direction='ccw', show_plot=visual, text=verbose) + G1_N = xpt1NE__midline_2.reverse_copy() + G2_S = xpt1NE__midline_2 + + # Tracing core: psi-min-core region (rho = 1) + + psiMinCore__midline_1_core = self.LineTracer.draw_line(xpt1N__psiMinCore.p[-1], {'line': midline_1}, + option='theta', direction='cw', show_plot=visual, text=verbose) + B1_S = psiMinCore__midline_1_core.reverse_copy() + + psiMinCore__midline_2_core = self.LineTracer.draw_line(xpt1N__psiMinCore.p[-1], {'line': midline_2}, + option='theta', direction='ccw', show_plot=visual, text=verbose) + G1_S = psiMinCore__midline_2_core + xpt1__psiMinPF1 = self.LineTracer.draw_line(xpt1['S'], {'psi': psi_pf_1}, + option='rho', direction='cw', show_plot=visual, text=verbose) + A1_E = xpt1__psiMinPF1 + H1_W = A1_E.reverse_copy() + psiMinPF1__WestPlate1 = self.LineTracer.draw_line(xpt1__psiMinPF1.p[-1], {'line': WestPlate1}, + option='theta', direction='ccw', show_plot=visual, text=verbose) + A1_S = psiMinPF1__WestPlate1 + + psiMinPF1__EastPlate1 = self.LineTracer.draw_line(xpt1__psiMinPF1.p[-1], {'line': EastPlate1}, + option='theta', direction='cw', show_plot=visual, text=verbose) + H1_S = psiMinPF1__EastPlate1.reverse_copy() + + xpt1__WestPlate1 = self.LineTracer.draw_line(xpt1['SW'], {'line': WestPlate1}, + option='theta', direction='ccw', show_plot=visual, text=verbose) + A2_S = xpt1__WestPlate1 + A1_N = A2_S.reverse_copy() + + # I1_N / I2_S + xpt1__EastPlate1 = self.LineTracer.draw_line(xpt1['SE'], {'line': EastPlate1}, + option='theta', direction='cw', show_plot=visual, text=verbose) + H1_N = xpt1__EastPlate1 + H2_S = H1_N.reverse_copy() + + # Drawing the portion of the separatrix found in the double-null configuration + xpt2N__outer_core = self.LineTracer.draw_line(xpt2['N'], {'psi': psi_core}, + option='rho', direction='cw', show_plot=visual, text=verbose) + C1_E = xpt2N__outer_core + F1_W = C1_E.reverse_copy() + + C1_S = self.LineTracer.draw_line(C1_E.p[-1], {'line': midline_1}, + option='theta', direction='ccw', show_plot=visual, text=verbose) + + F1_S = self.LineTracer.draw_line(C1_E.p[-1], {'line': midline_1}, option='theta', + direction='cw', show_plot=visual, text=verbose).reverse_copy() + + C1_N = self.LineTracer.draw_line(xpt2['N'], {'line': midline_1}, + option='theta', direction='ccw', show_plot=visual, text=verbose).reverse_copy() + C2_S = C1_N.reverse_copy() + + F1_N = self.LineTracer.draw_line(xpt2['N'], {'line': midline_2}, + option='theta', direction='cw', show_plot=visual, text=verbose) + F2_S = F1_N.reverse_copy() + + xpt2__psiMinPF2 = self.LineTracer.draw_line(xpt2['S'], {'psi': psi_pf_1}, + option='rho', direction='cw', show_plot=visual, text=verbose) + E1_E = xpt2__psiMinPF2 + D1_W = E1_E.reverse_copy() + + E1_S = self.LineTracer.draw_line(E1_E.p[-1], {'line': EastPlate2}, option='theta', direction='ccw', + show_plot=visual, text=verbose) + + D1_S = self.LineTracer.draw_line(E1_E.p[-1], {'line': WestPlate2}, option='theta', direction='cw', + show_plot=visual, text=verbose).reverse_copy() + + if self.settings['grid_settings']['patch_generation']['use_xpt2_W']: + tilt = self.settings['grid_settings']['patch_generation']['xpt2_W_tilt'] + E2_E = self.LineTracer.draw_line(xpt2['W'], {'psi_horizontal': (psi_2, tilt)}, option='z_const', direction='ccw', show_plot=visual, text=verbose).reverse_copy() + else: + E2_E = self.LineTracer.draw_line(xpt2['W'], {'psi': psi_2}, option='rho', direction='ccw', show_plot=visual, text=verbose).reverse_copy() + F2_W = E2_E.reverse_copy() + if self.settings['grid_settings']['patch_generation']['use_xpt2_E']: + tilt = self.settings['grid_settings']['patch_generation']['xpt2_E_tilt'] + D2_W = self.LineTracer.draw_line(xpt2['E'], {'psi_horizontal': (psi_2, tilt)}, option='z_const', direction='ccw', show_plot=visual, text=verbose) + else: + D2_W = self.LineTracer.draw_line(xpt2['E'], {'psi': psi_pf_2}, option='rho', direction='ccw', show_plot=visual, text=verbose) + C2_E = D2_W.reverse_copy() + + E1_N = self.LineTracer.draw_line(xpt2['S'], {'line': EastPlate2}, option='theta', direction='ccw', + show_plot=visual, text=verbose).reverse_copy() + E2_S = E1_N.reverse_copy() + + D1_N = self.LineTracer.draw_line(xpt2['S'], {'line': WestPlate2}, option='theta', direction='cw', + show_plot=visual, text=verbose) + D2_S = D1_N.reverse_copy() + + F2_N = self.LineTracer.draw_line(F2_W.p[-1], {'line': midline_2}, option='theta', + direction='cw', show_plot=visual, text=verbose) + + C2_N = self.LineTracer.draw_line(C2_E.p[0], {'line': midline_1}, option='theta', + direction='ccw', show_plot=visual, text=verbose).reverse_copy() + + D2_N = self.LineTracer.draw_line(D2_W.p[-1], {'line': WestPlate2}, option='theta', direction='cw', + show_plot=visual, text=verbose) + + E2_N = self.LineTracer.draw_line(F2_W.p[-1], {'line': EastPlate2}, option='theta', direction='ccw', + show_plot=visual, text=verbose).reverse_copy() + + + midline_2__EastPlate1 = self.LineTracer.draw_line(F2_N.p[-1], {'line': EastPlate1}, + option='theta', direction='cw', show_plot=visual, text=verbose) + midline_1__WestPlate1 = self.LineTracer.draw_line(C2_N.p[0], {'line': WestPlate1}, + option='theta', direction='ccw', show_plot=visual, text=verbose) + if self.settings['grid_settings']['patch_generation']['use_xpt1_E']: + tilt = self.settings['grid_settings']['patch_generation']['xpt1_E_tilt'] + H2_W = self.LineTracer.draw_line(xpt1['E'], {'line': (midline_2__EastPlate1, tilt)}, option='z_const', direction='cw', show_plot=visual, text=verbose) + else: + H2_W = self.LineTracer.draw_line(xpt1['E'], {'line': midline_2__EastPlate1}, + option='rho', direction='ccw', show_plot=visual, text=verbose) + G2_E = H2_W.reverse_copy() + + if self.settings['grid_settings']['patch_generation']['use_xpt1_W']: + tilt = -self.settings['grid_settings']['patch_generation']['xpt1_W_tilt'] + B2_W = self.LineTracer.draw_line(xpt1['W'], {'line': (midline_1__WestPlate1, tilt)}, option='z_const', direction='ccw', show_plot=visual, text=verbose) + else: + B2_W = self.LineTracer.draw_line(xpt1['W'], {'line': midline_1__WestPlate1}, + option='rho', direction='ccw', show_plot=visual, text=verbose) + + A2_E = B2_W.reverse_copy() + + A2_N, B2_N = midline_1__WestPlate1.reverse_copy().split(B2_W.p[-1], add_split_point=True) + G2_N, H2_N = midline_2__EastPlate1.split(H2_W.p[-1], add_split_point=True) + B1_E = self.LineTracer.draw_line(B1_N.p[-1], {'psi_horizontal': psi_core}, option='z_const', + direction='cw', show_plot=visual, text=verbose) + C1_W = B1_E.reverse_copy() + + B2_E = self.LineTracer.draw_line(B2_N.p[-1], {'psi_horizontal': 1.0}, option='z_const', + direction='cw', show_plot=visual, text=verbose) + C2_W = B2_E.reverse_copy() + F1_E = self.LineTracer.draw_line(F1_N.p[-1], {'psi_horizontal': psi_core}, option='z_const', + direction='ccw', show_plot=visual, text=verbose) + G1_W = F1_E.reverse_copy() + + F2_E = self.LineTracer.draw_line(F2_N.p[-1], {'psi_horizontal': 1.0}, option='z_const', + direction='ccw', show_plot=visual, text=verbose) + G2_W = F2_E.reverse_copy() + + visual=True + + + + A1_W = trim_geometry(WestPlate1, A1_S.p[-1], A1_N.p[0]) + A2_W = trim_geometry(WestPlate1, A2_S.p[-1], A2_N.p[0]) + + D1_E = trim_geometry(WestPlate2, D1_N.p[-1], D1_S.p[0]) + D2_E = trim_geometry(WestPlate2, D2_N.p[-1], D2_S.p[0]) + + E1_W = trim_geometry(EastPlate2, E1_S.p[-1], E1_N.p[0]) + E2_W = trim_geometry(EastPlate2, E2_S.p[-1], E2_N.p[0]) + + H1_E = trim_geometry(EastPlate1, H1_N.p[-1], H1_S.p[0]) + H2_E = trim_geometry(EastPlate1, H2_N.p[-1], H2_S.p[0]) + + # ============== Patch A1 ============== + A1 = Patch([A1_N, A1_E, A1_S, A1_W], patch_name='A1', plate_patch=True, plate_location='W') + # ============== Patch A2 ============== + A2 = Patch([A2_N, A2_E, A2_S, A2_W], patch_name='A2', plate_patch=True, plate_location='W') + + # ============== Patch B1 ============== + B1 = Patch([B1_N, B1_E, B1_S, B1_W], patch_name='B1') + # ============== Patch B2 ============== + B2 = Patch([B2_N, B2_E, B2_S, B2_W], patch_name='B2') + + # ============== Patch C1 ============== + C1 = Patch([C1_N, C1_E, C1_S, C1_W], patch_name='C1') + # ============== Patch C2 ============== + C2 = Patch([C2_N, C2_E, C2_S, C2_W], patch_name='C2') + + # ============== Patch D1 ============== + D1 = Patch([D1_N, D1_E, D1_S, D1_W], patch_name='D1', plate_patch=True, plate_location='E') + # ============== Patch D2 ============== + D2 = Patch([D2_N, D2_E, D2_S, D2_W], patch_name='D2', plate_patch=True, plate_location='E') + + # ============== Patch E1 ============== + E1 = Patch([E1_N, E1_E, E1_S, E1_W], patch_name='E1', plate_patch=True, plate_location='W') + # ============== Patch E2 ============== + E2 = Patch([E2_N, E2_E, E2_S, E2_W], patch_name='E2', plate_patch=True, plate_location='W') + + # ============== Patch F1 ============== + F1 = Patch([F1_N, F1_E, F1_S, F1_W], patch_name='F1') + # ============== Patch F2 ============== + F2 = Patch([F2_N, F2_E, F2_S, F2_W], patch_name='F2') + + # ============== Patch G1 ============== + G1 = Patch([G1_N, G1_E, G1_S, G1_W], patch_name='G1') + # ============== Patch G2 ============== + G2 = Patch([G2_N, G2_E, G2_S, G2_W], patch_name='G2') + + # ============== Patch H1 ============== + H1 = Patch([H1_N, H1_E, H1_S, H1_W], patch_name='H1', plate_patch=True, plate_location='E') + # ============== Patch H2 ============== + H2 = Patch([H2_N, H2_E, H2_S, H2_W], patch_name='H2', plate_patch=True, plate_location='E') + + patches = [ + B1, C1, F1, G1, + A1, D1, E1, H1, + A2, B2, C2, D2, E2, F2, G2, H2, + ] + self.patches = {} + for patch in patches: + patch.parent = self + patch.PatchTagMap = self.PatchTagMap + self.patches[patch.patch_name] = patch + self.OrderPatches() + + def OrderPatches(self): + + patches = ['D2', 'H2', 'C2', 'G2', 'H1', 'B2', 'F2', 'G1', + 'A2', 'A1', 'E2', 'F1', 'C1', 'B1', 'E1', 'D1'] + + self.patches = OrderedDict([(pname, self.patches[pname]) for pname in patches]) + + def AdjustGrid(self) -> None: + """ + Adjust the grid so that no holes occur at x-points, and cell grid + faces are alligned + + A small epsilon radius is swept out around x-points during Patch + line tracing. This simple tidies up a grid. + + Parameters + ---------- + patch : Patch + The patch to tidy up (will only adjust if next to x-point). + """ + + for patch in self.patches.values(): + # Adjust cell to any adjacent x-point + self.AdjustPatch(patch) + + # Adjust cell grid face along vertical plane + #poloidal_tag, radial_tag = patch.get_tag() + #if poloidal_tag == 'C' and radial_tag in ['1', '2']: + # patch.AdjustBorder('E', self.patches['F' + radial_tag]) + + # Circular patch configuration requires adjustment of border to close loop. + # Convention chosen: 'E' indicates closed loop + try : + pname = self.PatchTagMap[self.ConnexionMap.get(patch.get_tag())['E'][0]] + patch.AdjustBorder('E', self.patches[pname]) + except : + pass + #try: + # if patch.TerminatesLoop: + # # Get patch name of adjacent patch for linking boundary points + # pname = self.PatchTagMap[self.ConnexionMap.get(patch.get_tag())['E'][0]] + # patch.AdjustBorder('E', self.patches[pname]) + #except: + # pass + + def AdjustPatch(self, patch): + xpt1 = Point(self.LineTracer.NSEW_lookup['xpt1']['coor']['center']) + xpt2 = Point(self.LineTracer.NSEW_lookup['xpt2']['coor']['center']) + + tag = patch.get_tag() + if tag == 'A2': + patch.adjust_corner(xpt1, 'SE') + elif tag == 'A1': + patch.adjust_corner(xpt1, 'NE') + elif tag == 'B2': + patch.adjust_corner(xpt1, 'SW') + elif tag == 'B1': + patch.adjust_corner(xpt1, 'NW') + elif tag == 'C2': + patch.adjust_corner(xpt2, 'SE') + elif tag == 'C1': + patch.adjust_corner(xpt2, 'NE') + elif tag == 'D2': + patch.adjust_corner(xpt2, 'SW') + elif tag == 'D1': + patch.adjust_corner(xpt2, 'NW') + elif tag == 'E2': + patch.adjust_corner(xpt2, 'SE') + elif tag == 'E1': + patch.adjust_corner(xpt2, 'NE') + elif tag == 'F2': + patch.adjust_corner(xpt2, 'SW') + elif tag == 'F1': + patch.adjust_corner(xpt2, 'NW') + elif tag == 'G2': + patch.adjust_corner(xpt1, 'SE') + elif tag == 'G1': + patch.adjust_corner(xpt1, 'NE') + elif tag == 'H2': + patch.adjust_corner(xpt1, 'SW') + elif tag == 'H1': + patch.adjust_corner(xpt1, 'NW') + + def GroupPatches(self): + # p = self.patches + # self.PatchGroup = {'SOL' : [], + # 'CORE' : (p['B1'], p['C1'], p['D1'], p['E1']), + # 'PF' : (p['A1'], p['F1'])} + pass + + def set_gridue(self) -> dict: + """ + Prepares a ``gridue_settings`` dictionary with required data + for writing a gridue file. + + Parameters + ---------- + + Returns + ------- + + """ + + ixlb = 0 + ixrb = len(self.rm) - 2 + + nxm = len(self.rm) - 2 + nym = len(self.rm[0]) - 2 + iyseparatrix1 = self.patches['A1'].nrad - 1 + iyseparatrix2 = self.patches['C1'].nrad - 1 + iyseparatrix3 = iyseparatrix2 + iyseparatrix4 = iyseparatrix1 + + ix_plate1 = 0 + ix_cut1 = self.patches['A1'].npol - 1 + + ix_cut2 = 0 + for alpha in ['A', 'B', 'C']: + ix_cut2 += self.patches[alpha + '1'].npol - 1 + + ix_plate2 = 0 + for alpha in ['A', 'B', 'C', 'D']: + ix_plate2 += self.patches[alpha + '2'].npol - 1 + + ix_plate3 = ix_plate2 + 2 + + ix_cut3 = 0 + for alpha in ['A', 'B', 'C', 'D', 'E']: + ix_cut3 += self.patches[alpha + '2'].npol - 1 + ix_cut3 += 2 + + ix_cut4 = 0 + for alpha in ['A', 'B', 'C', 'D', 'E', 'F', 'G']: + ix_cut4 += self.patches[alpha + '1'].npol - 1 + ix_cut4 += 2 + + ix_plate4 = 0 + for alpha in ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H']: + ix_plate4 += self.patches[alpha + '1'].npol - 1 + ix_plate4 += 2 + + psi = np.zeros((nxm + 2, nym + 2, 5), order='F') + br = np.zeros((nxm + 2, nym + 2, 5), order='F') + bz = np.zeros((nxm + 2, nym + 2, 5), order='F') + bpol = np.zeros((nxm + 2, nym + 2, 5), order='F') + bphi = np.zeros((nxm + 2, nym + 2, 5), order='F') + b = np.zeros((nxm + 2, nym + 2, 5), order='F') + + rm = self.rm + zm = self.zm + rb_prod = self.PsiUNorm.rcenter * self.PsiUNorm.bcenter + + for i in range(len(b)): + for j in range(len(b[0])): + for k in range(5): + _r = rm[i][j][k] + _z = zm[i][j][k] + + _psi = self.PsiUNorm.get_psi(_r, _z) + _br = self.PsiUNorm.get_psi(_r, _z, tag='vz') / _r + _bz = -self.PsiUNorm.get_psi(_r, _z, tag='vr') / _r + _bpol = np.sqrt(_br ** 2 + _bz ** 2) + _bphi = rb_prod / _r + _b = np.sqrt(_bpol ** 2 + _bphi ** 2) + + psi[i][j][k] = _psi + br[i][j][k] = _br + bz[i][j][k] = _bz + bpol[i][j][k] = _bpol + bphi[i][j][k] = _bphi + b[i][j][k] = _b + + self.gridue_settings = { + 'nxm': nxm, 'nym': nym, 'iyseparatrix1': iyseparatrix1, 'iyseparatrix2': iyseparatrix2, + 'ix_plate1': ix_plate1, 'ix_cut1': ix_cut1, 'ix_cut2': ix_cut2, 'ix_plate2': ix_plate2, 'iyseparatrix3': iyseparatrix3, + 'iyseparatrix4': iyseparatrix4, 'ix_plate3': ix_plate3, 'ix_cut3': ix_cut3, 'ix_cut4': ix_cut4, 'ix_plate4': ix_plate4, + 'rm': self.rm, 'zm': self.zm, 'psi': psi, 'br': br, 'bz': bz, 'bpol': bpol, 'bphi': bphi, 'b': b, '_FILLER_': -1 + } + + return self.gridue_settings diff --git a/INGRID/utils.py b/INGRID/utils.py index 69958dd..915fc2f 100644 --- a/INGRID/utils.py +++ b/INGRID/utils.py @@ -1988,6 +1988,13 @@ def SetupPatchMatrix(self) -> list: [[None], p['A1'], p['B1'], p['C1'], p['D1'], [None], [None], p['E1'], p['F1'], p['G1'], p['H1'], [None]], [[None], [None], [None], [None], [None], [None], [None], [None], [None], [None], [None], [None]] ] + elif self.config in ['CDN']: + self.patch_matrix = [ + [[None], [None], [None], [None], [None], [None], [None], [None], [None], [None], [None], [None]], + [[None], p['A2'], p['B2'], p['C2'], p['D2'], [None], [None], p['E2'], p['F2'], p['G2'], p['H2'], [None]], + [[None], p['A1'], p['B1'], p['C1'], p['D1'], [None], [None], p['E1'], p['F1'], p['G1'], p['H1'], [None]], + [[None], [None], [None], [None], [None], [None], [None], [None], [None], [None], [None], [None]] + ] return self.patch_matrix @@ -2132,6 +2139,9 @@ def set_guard(cell_map, ix, iy, eps, boundary): self._animate_grid() elif self.parent.settings['grid_settings']['num_xpt'] == 2: + max_patch_index = 3 # e.g. A1, A2, A3 + if self.config == "CDN": + max_patch_index = 2 # e.g. A1, A2 if self.config in ['SF45', 'SF75', 'SF105', 'SF135']: pindex1 = 8 @@ -2141,7 +2151,7 @@ def set_guard(cell_map, ix, iy, eps, boundary): pindex1 = 7 pindex2 = 9 pindex3 = 12 - elif self.config in ['UDN']: + elif self.config in ['UDN', 'CDN']: pindex1 = 5 pindex2 = 7 pindex3 = 11 @@ -2150,13 +2160,13 @@ def set_guard(cell_map, ix, iy, eps, boundary): np_total1 = int(np.sum([patch.npol - 1 for patch in patch_matrix[1][1:pindex1]])) + 2 # Total number of radial indices in all subgrids. - nr_total1 = int(np.sum([patch[1].nrad - 1 for patch in patch_matrix[1:4]])) + 2 + nr_total1 = int(np.sum([patch[1].nrad - 1 for patch in patch_matrix[1:max_patch_index+1]])) + 2 # Total number of poloidal indices in all subgrids. np_total2 = int(np.sum([patch.npol - 1 for patch in patch_matrix[1][pindex2:pindex3]])) + 2 # Total number of radial indices in all subgrids. - nr_total2 = int(np.sum([patch[pindex2].nrad - 1 for patch in patch_matrix[1:4]])) + 2 + nr_total2 = int(np.sum([patch[pindex2].nrad - 1 for patch in patch_matrix[1:max_patch_index+1]])) + 2 rm1 = np.zeros((np_total1, nr_total1, 5), order='F') zm1 = np.zeros((np_total1, nr_total1, 5), order='F') diff --git a/data/MASTU/MASTU_patches.npy b/data/MASTU/MASTU_patches.npy new file mode 100644 index 0000000..ad9fc65 Binary files /dev/null and b/data/MASTU/MASTU_patches.npy differ diff --git a/data/MASTU/mastu.geqdsk b/data/MASTU/mastu.geqdsk new file mode 100644 index 0000000..dd00cad --- /dev/null +++ b/data/MASTU/mastu.geqdsk @@ -0,0 +1,1004 @@ +FREEGS 28/04/2025 # 0 0ms 3 65 65 + 0.190000000E+01 0.420000000E+01 0.100000000E+01 0.100000000E+00 0.000000000E+00 + 0.996155643E+00-0.342798385E-06 0.000000000E+00-0.699118230E-01 0.650000000E+00 + 0.100000000E+07 0.000000000E+00 0.000000000E+00 0.996155643E+00 0.000000000E+00 +-0.342798385E-06 0.000000000E+00-0.699118230E-01 0.000000000E+00 0.000000000E+00 + 0.631673165E+00 0.631987490E+00 0.632301167E+00 0.632614192E+00 0.632926558E+00 + 0.633238259E+00 0.633549287E+00 0.633859637E+00 0.634169300E+00 0.634478270E+00 + 0.634786538E+00 0.635094098E+00 0.635400940E+00 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-1.531800 +0.819740, -1.493600 +0.819740, -1.481200 +0.822290, -1.445100 +0.839810, -1.382600 +0.869380, -1.331200 +0.892960, -1.304000 +1.190400, -1.007000 +1.321400, -0.820000 +1.450000, -0.820000 +1.450000, -0.810000 +1.470000, -0.810000 +1.470000, -0.860000 +1.348300, -0.860000 +1.250300, -1.000000 +1.600000, -1.000000 \ No newline at end of file diff --git a/data/MASTU/plot_gridue.py b/data/MASTU/plot_gridue.py new file mode 100644 index 0000000..9ba3ecb --- /dev/null +++ b/data/MASTU/plot_gridue.py @@ -0,0 +1,6 @@ +from pathlib import Path +from INGRID.ingrid import Ingrid + + +gridue_dict = Ingrid.ImportGridue(str(Path(__file__).parent / "gridue")) +Ingrid.PlotGridue(gridue_dict) \ No newline at end of file diff --git a/data/MASTU/qian_exp45460_new_MHexample.eqdsk b/data/MASTU/qian_exp45460_new_MHexample.eqdsk new file mode 100644 index 0000000..d0efd37 --- /dev/null +++ b/data/MASTU/qian_exp45460_new_MHexample.eqdsk @@ -0,0 +1,14232 @@ +pyEquilib 05/06/2023 # 0 0ms 3 257 257 + 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+dir_settings: + patch_data: ../data/MASTU + eqdsk: ../data/MASTU + target_plates: ../data/MASTU + limiter: ../data/MASTU +eqdsk: qian_exp45460_new_MHexample.eqdsk +patch_data: + file: "MASTU_patches.npy" + use_file: false + preferences: + new_fname: "MASTU_patches.npy" + new_file: true +grid_settings: + grid_generation: + distortion_correction: + all: + active: true + resolution: 1000 + theta_max: 90.5 + theta_min: 89.5 + np_default: 6 + nr_default: 6 + radial_f_1: x, (tanh(1.3*(x - 2.0)) - tanh(-1.3*2.0)) / (tanh(1.3*(1.0-2.0)) - tanh(-1.3*2.0)) # a = 1.3, b = 2.0 + radial_f_2: x, tanh(1.3x) / tanh(1.3) # a = 1.3, b = 0.0 + poloidal_f_default: x, sqrt(x) + poloidal_f_B: x, 1 - sqrt(1 - x) + poloidal_f_D: x, 1 - sqrt(1 - x) + poloidal_f_F: x, 1 - sqrt(1 - x) + poloidal_f_H: x, 1 - sqrt(1 - x) + guard_cell_eps: 0.001 + nlevs: 30 + num_xpt: 2 + patch_generation: + xpt1_E_tilt: 0.0 + xpt1_W_tilt: 0.0 + rmagx_shift: 0.0 + xpt2_E_tilt: 0.0 + xpt2_W_tilt: 0.0 + strike_pt_loc: limiter + magx_tilt_1: 0.0 + magx_tilt_2: 0.0 + use_xpt1_E: false + use_xpt1_W: false + use_xpt2_E: false + use_xpt2_W: false + zmagx_shift: 0.0 + psi_1: 1.02 + psi_2: 1.15 + psi_core: 0.8 + psi_pf_1: 0.964 + psi_pf_2: 1.02 + rmagx: 0.93 + rxpt: 0.572 + rxpt2: 0.572 + view_mode: filled + zmagx: 0.0 + zxpt: -1.01 + zxpt2: 1.01 +integrator_settings: + dt: 0.01 + eps: 5.0e-05 + first_step: 5.0e-05 + max_step: 0.064 + step_ratio: 0.02 + tol: 0.005 +limiter: + file: "mastu_wall.txt" + use_efit_bounds: false