Abstract

Recently a differential discontinuous formulation for conservation laws named the Correction Procedure via Reconstruction (CPR) was developed. CPR is inspired by several other discontinuous methods such as the discontinuous Galerkin, spectral volume and spectral difference methods. In fact, all of them can be unified under the CPR framework, which is relatively simple to implement. The aim of the present work is to investigate and develop an efficient solution algorithm for high speed viscous flows using the high-order CPR discretization. A p-multigrid solver and an implicit line solver are developed and tested on several test cases to show the performance.

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