On the evaluation of the MD passive WDF discretization method for a flow through cylinder

Abstract

In this paper a complete algorithm is developed to evaluate the multidimensional (MD) wave digital filter (WDF) method for the numerical integration of nonlinear (NL) partial differential equations (PDEs), and particularly those referring to the solution of the Euler equations. The evaluation is accomplished for the case of flow around a cylinder. The resulting discrete model is compared to the respective analytic solutions, via simulations results. The advantages of the method at hand, namely robustness and passive parallelism are verified.