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An Optimized Correction Procedure via Reconstruction Formulation for Broadband Wave Computation

Published online by Cambridge University Press:  03 June 2015

Yi Li  and
Z.J. Wang
Yi Li*
Affiliation:
Department of Aerospace Engineering and CFD Center, Iowa State University, Ames, IA 50011, USA
Z.J. Wang*
Affiliation:
Department of Aerospace Engineering and CFD Center, Iowa State University, Ames, IA 50011, USA
*
Corresponding author.Email:yili@iastate.edu
Email:zjw@iastate.edu
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Abstract

Recently, a new differential discontinuous formulation for conservation laws named the Correction Procedure via Reconstruction (CPR) is developed, which is in-spired by several other discontinuous methods such as the discontinuous Galerkin (DG), the spectral volume (SV)/spectral difference (SD) methods. All of them can be unified under the CPR formulation, which is relatively simple to implement due to its finite-difference-like framework. In this paper, a different discontinuous solution space including both polynomial and Fourier basis functions on each element is employed to compute broad-band waves. Free-parameters introduced in the Fourier bases are optimized to minimize both dispersion and dissipation errors through a wave propagation analysis. The optimization procedure is verified with a mesh resolution analysis. Numerical results are presented to demonstrate the performance of the optimized CPR formulation.

Keywords

76CPR (correction procedure via reconstruction)hybrid discontinuous spacewave propagation analysisunstructured meshes
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 5 , May 2013 , pp. 1265 - 1291
Copyright
Copyright © Global Science Press Limited 2013

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