TY - JOUR
T1 - A Cell-Centered Godunov Method Based on Staggered Data Distribution, Part I: One-Dimensional Case
AU - Zhai , Jiayin
AU - Li , Xiao
AU - Shen , Zhijun
JO - Journal of Computational Mathematics
VL - 4
SP - 1172
EP - 1196
PY - 2024
DA - 2024/04
SN - 42
DO - http://doi.org/10.4208/jcm.2301-m2022-0177
UR - https://global-sci.org/intro/article_detail/jcm/23051.html
KW - Godunov method, Riemann solver, Rarefaction wave, Nonphysical entropy increase.
AB - <p style="text-align: justify;">This paper presents a cell-centered Godunov method based on staggered data distribution in Eulerian framework. The motivation is to reduce the intrinsic entropy dissipation
of classical Godunov methods in the calculation of an isentropic or rarefaction flow. At
the same time, the property of accurate shock capturing is also retained. By analyzing the
factors that cause nonphysical entropy in the conventional Godunov methods, we introduce
two velocities rather than a single velocity in a cell to reduce kinetic energy dissipation.
A series of redistribution strategies are adopted to update subcell quantities in order to
improve accuracy. Numerical examples validate that the present method can dramatically
reduce nonphysical entropy increase.</p>