TY - JOUR
T1 - An Estimate of the Rate of Entropy Dissipation of High Resolution MUSCL Type Godunov Schemes
AU - Tang , Hua-Zhong
AU - Zhao , Ning
JO - Journal of Computational Mathematics
VL - 4
SP - 369
EP - 378
PY - 1999
DA - 1999/08
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9109.html
KW - Hyperbolic conservation laws, MUSCL type godunov schemes, Entropy dissipation, shock wave, Rarefaction wave.
AB - <p style="text-align: justify;">In this paper, following the paper [7], we analyze the &quot;sharp&quot; estimate of the rate of entropy dissipation of the fully discrete MUSCL type Godunov schemes by the general compact theory introduced by Coquel-LeFloch [1, 2], and find: because of small viscosity of the above schemes, in the vicinity of shock wave, the estimate of the above schemes is more easily obtained, but for rarefaction wave, we must impose a &quot;sharp&quot; condition on limiter function in order to keep its entropy dissipation and its convergence.</p>