Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6930745 | Journal of Computational Physics | 2016 | 25 Pages |
Abstract
Based on the analysis of the continuous equations, we present a semi-discretized system where the spatial derivatives are approximated using finite difference operators with a summation-by-parts property. With a suitable choice of dissipative boundary conditions imposed weakly through penalty terms, the semi-discrete scheme is shown to be stable. Numerical experiments in the laminar flow regime corroborate the theoretical results and we obtain high-order accurate results for the solution variables and the velocity divergence converges to zero as the mesh is refined.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Per Pettersson, Jan Nordström, Alireza Doostan,