ReferenceAlpha
Exact design-to-coordinate derivative
Governing equation `Exact design-to-coordinate derivative` declared by physics interface `Shape Optimization`.
Reference
| Field | Value | Description |
|---|---|---|
| differentiability | analytic | — |
| entity_dimension | domain | — |
| latex | \frac{\partial\mathbf x}{\partial\mathbf c_\Gamma}=\mathbf P_{\mathrm{ALE}}\mathbf P_{\mathrm{filter}} | — |
| mathml | <math display="block"><mrow><mfrac><mrow><mo>∂</mo><mi mathvariant="bold">x</mi></mrow><mrow><mo>∂</mo><msub><mi mathvariant="bold">c</mi><mi>Γ</mi></msub></mrow></mfrac><mo>=</mo><msub><mi mathvariant="bold">P</mi><mi>ALE</mi></msub><msub><mi mathvariant="bold">P</mi><mi>filter</mi></msub></mrow></math> | — |
| name | Exact design-to-coordinate derivative | — |
| section | definition | — |
Governing equation Exact design-to-coordinate derivative declared by physics interface Shape Optimization.
Contract
| Property | Value |
|---|---|
| differentiability | analytic |
| entity_dimension | domain |
| latex | \frac{\partial\mathbf x}{\partial\mathbf c_\Gamma}=\mathbf P_{\mathrm{ALE}}\mathbf P_{\mathrm{filter}} |
| mathml | <math display="block"><mrow><mfrac><mrow><mo>∂</mo><mi mathvariant="bold">x</mi></mrow><mrow><mo>∂</mo><msub><mi mathvariant="bold">c</mi><mi>Γ</mi></msub></mrow></mfrac><mo>=</mo><msub><mi mathvariant="bold">P</mi><mi>ALE</mi></msub><msub><mi mathvariant="bold">P</mi><mi>filter</mi></msub></mrow></math> |
| name | Exact design-to-coordinate derivative |
| section | definition |