A high order and efficient acoustic solver using parallel finite volume method

The finite volume method demonstrates superior performance in computational fluid dynamics due to its high mesh adaptability, strict conservation properties, excellent computational efficiency, robust stability, and exceptional capability in handling complex geometries. The advancement of the weighted essentially non-oscillatory scheme has facilitated the development of high order finite volume methods, enabling high-precision sound field calculations. For the low Mach number flow, the fluid motion can be effectively approximated as an incompressible flow, allowing the separation of acoustic and incompressible flow field variables from the compressible flow field variables. The viscous/acoustic splitting method is employed, integrating advanced treatments for high-order convective schemes and implementing effective reflection-free boundary conditions. Furthermore, the computational efficiency of sound field calculations is enhanced by controlling acoustic field grid sizing. Its performance is validated through several cases, including: (1) flow past a fixed cylinder at Reynolds number 150 and Mach number 0.2, (2) flow past a rotating cylinder with a speed ratio of 0.2 at Reynolds number 160 and Mach number 0.2, and (3) flow past a cylinder with a splitting plate at Reynolds number 150 and Mach number 0.2. The results demonstrate that the proposed method accurately captures sound field propagation characteristics, with the reflection-free boundary effectively suppressing acoustic wave reflections. By reasonably selecting interpolation functions and maintaining a minimum of ten grid points per acoustic wavelength, the present method can predict the sound field quickly and accurately.