physics-interfacePreview
Thermal Dynamics
Conductive thermal physics with scalar temperature state; transient execution remains unavailable until a certified capacity operator and time integrator are registered.
Reference contract
| Field | Value | Description |
|---|---|---|
| constraints | [] | — |
| coupled_runtime | null | — |
| differentiable_runtime | {"certification":"ThermalDynamicsScalarEllipticRuntime","coordinate_expression_gradient":false,"coordinate_gradient":false,"design_properties":["thermalConductivity"],"execution_backend":"telion-v2-shared-execution","expression_objectives":true,"material_expression_gradient":true,"material_gradient":true,"residual_owner":"ThermalDynamics.element_residual","state_fields":["T"],"supported_objective_symbols":{"material":["td.T","td.energy","td.compliance"],"topology":["td.T","td.energy","td.compliance"]},"topology_expression_gradient":true} | — |
| equation_summary | rho*Cp*dT/dt - div(k*grad(T)) = Q | — |
| frequency_domain_runtime | null | — |
| metadata | {"releaseSupport":{"certifiedStudies":[],"manifest":"docs/september-2026-classroom-physics-matrix.json","manifestSha256":"fe4b2f9ddfee4fe815ba0df4bb22b364a70e095773b56cf79e6d360935757003","profile":"september-2026-classroom","reason":"Thermal Dynamics has no certified study in the September 2026 classroom support matrix.","selectable":false}} | — |
| preferred_material | null | — |
| schema_version | 2.0.0 | — |
| studies | [{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"Thermal Dynamics stationary is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Thermal Dynamics sensitivity is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Thermal Dynamics optimization is outside the September 2026 classroom support matrix."}] | — |
| transient_runtime | null | — |
| weak_contributions | [{"differentiability":"exact-ad","entity_dimension":"domain","expression":"dot(grad(test(td.T)), thermalConductivity*grad(td.T)) - test(td.T)*heatSource","name":"td.conduction","test_field":"td.T"}] | — |
| category | Heat Transfer | — |
| description | Conductive thermal physics with scalar temperature state; transient execution remains unavailable until a certified capacity operator and time integrator are registered. | — |
| dimensions | [3] | — |
| display_name | Thermal Dynamics | — |
| kind | Thermal Dynamics | — |
| namespace | td | — |
| status | development | — |
| visible | false | — |
Conductive thermal physics with scalar temperature state; transient execution remains unavailable until a certified capacity operator and time integrator are registered.
Contract
| Property | Value |
|---|---|
| constraints | [] |
| coupled_runtime | null |
| differentiable_runtime | {"certification":"ThermalDynamicsScalarEllipticRuntime","coordinate_expression_gradient":false,"coordinate_gradient":false,"design_properties":["thermalConductivity"],"execution_backend":"telion-v2-shared-execution","expression_objectives":true,"material_expression_gradient":true,"material_gradient":true,"residual_owner":"ThermalDynamics.element_residual","state_fields":["T"],"supported_objective_symbols":{"material":["td.T","td.energy","td.compliance"],"topology":["td.T","td.energy","td.comp... |
| equation_summary | rho*Cp*dT/dt - div(k*grad(T)) = Q |
| frequency_domain_runtime | null |
| metadata | {"releaseSupport":{"certifiedStudies":[],"manifest":"docs/september-2026-classroom-physics-matrix.json","manifestSha256":"fe4b2f9ddfee4fe815ba0df4bb22b364a70e095773b56cf79e6d360935757003","profile":"september-2026-classroom","reason":"Thermal Dynamics has no certified study in the September 2026 classroom support matrix.","selectable":false}} |
| preferred_material | null |
| schema_version | 2.0.0 |
| studies | [{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"Thermal Dynamics stationary is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Thermal Dynamics sensitivity is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Thermal Dynamics optimization is outside the September 2026 classroom support ma... |
| transient_runtime | null |
| weak_contributions | [{"differentiability":"exact-ad","entity_dimension":"domain","expression":"dot(grad(test(td.T)), thermalConductivity*grad(td.T)) - test(td.T)*heatSource","name":"td.conduction","test_field":"td.T"}] |
| category | Heat Transfer |
| description | Conductive thermal physics with scalar temperature state; transient execution remains unavailable until a certified capacity operator and time integrator are registered. |
| dimensions | [3] |
| display_name | Thermal Dynamics |
| kind | Thermal Dynamics |
| namespace | td |
| status | development |
| visible | false |