Acoustic Scattering from Multiple Circular Cylinders: Category 2, Problems 1 and 2, Analytic Solution

The main goal of this benchmark problem set is to assess the ability of computational algorithms to simulate the aeroacoustic phenomenon of linear scattering with increasingly complex geometries. These algorithms may include advanced high-order methods being extended to handle complex grid topologies, or mature structured and unstructured approaches developed for intricate geometries that are either low-order or are being adapted to incorporate high-order algorithms. For the problems considered here, the complex geometry does not arise from the shape of the bodies, which are simple circular cylinders, but by the presence of multiple bodies in the computational domain. This problem also provides a test of numerical robustness, long-time stability, and suitability of far-field radiation boundary conditions for more realistic problems. The solution presented here is discussed in more detail in Ref. 1, which is an extension of the single-scattering solution of Ref. 2. These references should be consulted for more detail on the solution methodology.