Eigenvalue and dimensional analysis of convective wave operators
* Präsentierender Autor
Zusammenfassung:The convective wave equation models wave propagation in flowing media by including convection and refraction effects. The primary physical quantity is the scalar acoustic potential, which refers to the sound pressure by the essential derivative in relation to time, scaled by the mean density of the medium. A standard finite element formulation of this partial differential equation leads to interfering modes and can even become unstable. Therefore, we revisit a stable, Mach number independent finite element formulation. The properties of this formulation are investigated by eigenvalue analysis and dimensional analysis for stationary and moving grids. Finally, the theoretical findings are verified by the example “cylinder in a cross-flow” and “rotating cylinder in a cross-flow”.