optimization-physics-contractPreview
Thermal Dynamics
Defines optimization applicability and derivative ownership for Thermal Dynamics.
Reference contract
| Field | Value | Description |
|---|---|---|
| kind | Thermal Dynamics | — |
| namespace | td | — |
| status | development | — |
| visible | false | — |
| optimizationContract | {"baseStudies":["stationary","transient"],"certificationFixture":"tests/python_backend/test_differentiable_physics_contract.py::test_builtin_physics_optimization_contract_gate","contributionBindings":[{"certificationFixture":"tests/python_backend/test_differentiable_physics_contract.py::test_builtin_physics_optimization_contract_gate","contribution":"domain-feature:Heat Source","runtimeOwner":"ThermalDynamics.element_residual"},{"certificationFixture":"tests/python_backend/test_differentiable_physics_contract.py::test_builtin_physics_optimization_contract_gate","contribution":"boundary-feature:Temperature","runtimeOwner":"ThermalDynamics.element_residual"},{"certificationFixture":"tests/python_backend/test_differentiable_physics_contract.py::test_builtin_physics_optimization_contract_gate","contribution":"boundary-feature:Heat Flux","runtimeOwner":"ThermalDynamics.element_residual"},{"certificationFixture":"tests/python_backend/test_differentiable_physics_contract.py::test_builtin_physics_optimization_contract_gate","contribution":"weak-contribution:td.conduction","runtimeOwner":"ThermalDynamics.element_residual"}],"functionalReductions":["integral","average","minimum","maximum","rms","norm","smooth-maximum","smooth-minimum","value"],"geometricModes":{"coordinate":{"applicability":"required","reason":""},"materialTopology":{"applicability":"required","reason":""}},"historyFields":["T"],"objectiveRules":[{"entityDimensions":["global","domain","boundary","point"],"modes":["stationary","transient"],"operators":["integral","average","minimum","maximum","rms","norm","smooth-maximum","smooth-minimum"],"supportsSelection":true,"symbols":["td.T"],"valueKind":"field"},{"entityDimensions":["global"],"modes":["stationary"],"operators":["value"],"supportsSelection":false,"symbols":["td.energy"],"valueKind":"scalar-global"},{"entityDimensions":["global"],"modes":["stationary"],"operators":["value"],"supportsSelection":false,"symbols":["td.compliance"],"valueKind":"scalar-global"}],"objectiveSymbols":["td.T","td.energy","td.compliance"],"requiredDerivativeChannels":["parameter","input","coordinate","material"],"role":"spatial-analysis","runtimeProvider":"ThermalDynamics.element_residual","schemaVersion":"1.0.0","stateFields":["T"]} | — |
| governingEquations | [{"description":"","differentiability":"exact-ad","editor":null,"entityDimension":"domain","latex":"\\rho C_p\\frac{\\partial T}{\\partial t}-\\nabla\\cdot\\left(k\\nabla T\\right)=Q","mathml":"<math display=\"block\"><mrow><mi>rho</mi><msub><mi>C</mi><mi>p</mi></msub><mfrac><mrow><mo>d</mo><mi>T</mi></mrow><mrow><mo>d</mo><mi>t</mi></mrow></mfrac><mo>-</mo><mi>div</mi><mo>(</mo><mi>k</mi><mi>grad</mi><mo>(</mo><mi>T</mi><mo>)</mo><mo>)</mo><mo>=</mo><mi>Q</mi></mrow></math>","name":"Thermal dynamics equation","readOnly":true,"section":"governing-equation"},{"description":"","differentiability":"exact-ad","editor":null,"entityDimension":"domain","latex":"\\mathbf q=-k\\nabla T","mathml":"<math display=\"block\"><mrow><mi>q</mi><mo>=</mo><mo>-</mo><mi>k</mi><mi>grad</mi><mo>(</mo><mi>T</mi><mo>)</mo></mrow></math>","name":"Conductive heat flux","readOnly":true,"section":"definition"}] | — |
The runtime provider, evidence fixture, derivative channels, geometric modes, objective symbols, reductions, contribution bindings, and governing equations are generated from the physics catalog.