thermal-square_convection.json

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

    "functions": [
        {
            "function_name": "T_mms",
            "function_type": "Expression",
            "function": {
                "arguments": [ "x", "y" ],
                "expression": "$T$"
            }
        },
        {
            "function_name": "dTdx",
            "function_type": "Expression",
            "function": {
                "arguments": [ "x", "y" ],
                "expression": "$dTdx$"
            }
        },
        {
            "function_name": "dTdy",
            "function_type": "Expression",
            "function": {
                "arguments": [ "x", "y" ],
                "expression": "$dTdy$"
            }
        },
        {
            "function_name": "q_mms",
            "function_type": "Expression",
            "function": {
                "arguments": [ "x", "y" ],
                "expression": "$q$"
            }
        }
    ],    

    "physics": [
        {
            "physics_type": "Thermal",
            "boundary_conditions": [
                {
                    "group_names": [ "left", "top" ],
                    "boundary_condition_type": "Dirichlet",
                    "value_type": "ExpressionValues",
                    "value": { "values": [ "T_mms(x,y)" ] }
                },{
                    "group_names": [ "bottom" ],
                    "boundary_condition_type": "HeatFlux",
                    "value_type": "ExpressionValues",
                    "value": { "values": [ "-dTdy(x,y)" ] }
                },{
                    "group_names": [ "right" ],
                    "boundary_condition_type": "Convection",
                    "boundary_condition": {
                        "heat_transfer_coefficient": {
                            "value_type": "ExpressionValues",
                            "value": { "values": [ "-dTdx(x,y)/(T-3)" ] }
                        },
                        "T_infinity": {
                            "value_type": "ConstantValues",
                            "value": { "values": [ 3 ] }
                        }
                    },
                },{
                    "group_names":[ "bulk" ],
                    "boundary_condition_type": "ThermalPowerDensity",
                    "value_type": "ExpressionValues",
                    "value": { "values": [ "q_mms(x,y)" ] }
                },
            ]
        }
    ],

    "materials": [
        {
            "name": "bulk",
            "thermal_properties": {
                "thermal_conductivity_type": "IsotropicFourier",
                "thermal_conductivity": {
                    "thermal_conductivity": "1"
                },
            }
        }
    ],
    
    "material_mapping": [
        {
            "volume_name": "bulk",
            "material_name": "bulk"
        }
    ],
    "outputs": {
        "field_data": [
            {
                "field_name": "Temperature"
            }
        ]
    },
    "analysis_type": "StaticAnalysis",
    "analysis": {}
}