thermal-cube_neumann.json

{
    "mesh_filename": "$m$",
    "element_order": "$o$",
    "element_order_output": "$o$",
    "element_integration": "$i$",

    "functions": [
        {
            "function_name": "T_mms",
            "function_type": "Expression",
            "function": {
                "arguments": [ "x", "y", "z" ],
                "expression": "$T$"
            }
        },{
            "function_name": "qx",
            "function_type": "Expression",
            "function": {
                "arguments": [ "x", "y", "z" ],
                "expression": "$qx$"
            }
        },{
            "function_name": "qy",
            "function_type": "Expression",
            "function": {
                "arguments": [ "x", "y", "z" ],
                "expression": "$qy$"
            }
        },{
            "function_name": "qz",
            "function_type": "Expression",
            "function": {
                "arguments": [ "x", "y", "z" ],
                "expression": "$qz$"
            }
        },{
            "function_name": "q_mms",
            "function_type": "Expression",
            "function": {
                "arguments": [ "x", "y", "z" ],
                "expression": "$q"
            }
        }
    ],    

    "physics": [
        {
            "physics_type": "Thermal",
            "boundary_conditions": [
                {
                    "boundary_condition_type": "Dirichlet",
                    "group_names": [ "left", "top", "back" ],
                    "values": [ "T_mms(x,y,z)" ]
                },{
                    "boundary_condition_type": "HeatFlux",
                    "group_names": [ "bottom" ],
                    "values": [ "+qy(x,y,z)" ]
                },{
                    "boundary_condition_type": "HeatFlux",
                    "group_names": [ "right" ],
                    "values": [ "-qx(x,y,z)" ]
                },{
                    "boundary_condition_type": "HeatFlux",
                    "group_names": [ "front" ],
                  "values": [ "-qz(x,y,z)" ]
                },{
                    "boundary_condition_type": "ThermalPowerDensity",
                    "group_names":[ "bulk" ],
                    "values": [ "q_mms(x,y,z)" ]
                },
            ],
            "solver_name": "lu"
        }
    ],
    
    "materials": [
        {
            "name": "bulk",
            "thermal_properties": {
                "thermal_conductivity": {
                    "thermal_conductivity": "$k$"
                },
                "thermal_conductivity_type": "IsotropicFourier",
            }
        }
    ],
    "material_mapping": [
        {
            "volume_name": "bulk",
            "material_name": "bulk"
        }
    ],
    
    "outputs": {
        "field_data": [
            {
                "field_name": "Temperature"
            }
        ]
    },
    "analysis_type": "StaticAnalysis",
    "analysis": {},
    "solver": [
      {
        "solver_name": "lu",
        "solver_type": "preonly",
        "preconditioner_type": "lu"
      }
    ]
}