ReferenceAvailable
Harmonic pressure acoustics
Peak phasors use exp(i*omega*t). K and rho are finite positive real bulk modulus and density; c=sqrt(K/rho). Positive prescribed normal acceleration points into the fluid. Qm is measured in 1/s^2. Harmonic sensitivities and optimization are unavailable.
Reference
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | domain | — |
| latex | -\nabla\cdot(\rho^{-1}\nabla p)-\omega^2p/K=Q_m | — |
| mathml | <math display="block"><mrow><mo>-</mo><mi>div</mi><mo>(</mo><mi>grad</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>/</mo><mi>rho</mi><mo>)</mo><mo>-</mo><msup><mi>omega</mi><mn>2</mn></msup><mi>p</mi><mo>/</mo><mi>K</mi><mo>=</mo><msub><mi>Q</mi><mi>m</mi></msub></mrow></math> | — |
| name | Harmonic pressure acoustics | — |
| section | governing-equation | — |
Peak phasors use exp(iomegat). K and rho are finite positive real bulk modulus and density; c=sqrt(K/rho). Positive prescribed normal acceleration points into the fluid. Qm is measured in 1/s^2. Harmonic sensitivities and optimization are unavailable.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | domain |
| latex | -\nabla\cdot(\rho^{-1}\nabla p)-\omega^2p/K=Q_m |
| mathml | <math display="block"><mrow><mo>-</mo><mi>div</mi><mo>(</mo><mi>grad</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>/</mo><mi>rho</mi><mo>)</mo><mo>-</mo><msup><mi>omega</mi><mn>2</mn></msup><mi>p</mi><mo>/</mo><mi>K</mi><mo>=</mo><msub><mi>Q</mi><mi>m</mi></msub></mrow></math> |
| name | Harmonic pressure acoustics |
| section | governing-equation |