Application of new absorbing boundary condition with finite volume schemes

In our recent paper (Capturing Matched Layer at Absorbing Boundary with Finite Volume Schemes, Computers and Fluids, Vol. 106, Jan. 2015, pp. 79-92), a new absorbing boundary condition for compressible flow computation was proposed. It was shown that, with an appropriate finite volume scheme, a matched layer (or absorbing layer) can be automatically captured as a discontinuity across the absorbing boundary, rendering an extremely simple yet robust absorbing boundary condition. This new absorbing boundary condition is attributed to the shock-capturing capability of the finite volume scheme, with no direct relation to any existing nonreflecting boundary condition. As a sequel, the present paper focuses on application of the new absorbing boundary condition. Several more non-trivial benchmark examples are demonstrated to further show its robustness and versatility for various types of continuous and discontinuous waves in domain of different shapes. Then it is examined in practical problems with experimental data, rendering a viable tool for compressible flow and aeroacoustics computation. © 2015 by the Authors.