TY - JOUR
T1 - An Optimized Correction Procedure via Reconstruction Formulation for Broadband Wave Computation
AU - Yi Li & Z. J. Wang
JO - Communications in Computational Physics
VL - 5
SP - 1265
EP - 1291
PY - 2013
DA - 2013/05
SN - 13
DO - http://doi.org/10.4208/cicp.300711.070512a
UR - https://global-sci.org/intro/article_detail/cicp/7274.html
KW - 
AB - <p style="text-align: justify;">Recently, a new differential discontinuous formulation for conservation laws
named the Correction Procedure via Reconstruction (CPR) is developed, which is inspired 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.</p>