Abstract

In this paper, we have developed massively parallel high order accurate finite-volume based WENO methods to solve inviscid Euler equations and Navier-Stokes equations on three dimensional unstructured grids. The reconstruction method involves compact stencils that lead to excellent parallel efficiency on high-performance computing systems and effectively reduce computational cost. The curvilinear boundaries are approximated using high-order polynomial to ensure desired order of convergence at the boundaries. Demonstration tests on Stokes' first problem and shock diffraction from a sphere are used to assess the efficacy of our high-order fully compressible shock-capturing technique.

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