TY - JOUR
T1 - On the Central Relaxing Scheme II: Systems of Hyperbolic Conservation Laws
AU - Tang , Hua-Zhong
JO - Journal of Computational Mathematics
VL - 6
SP - 571
EP - 582
PY - 2001
DA - 2001/12
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9009.html
KW - Hyperbolic conservation laws, The relaxing system, The central relaxing schemes, The Euler equations.
AB - <p style="text-align: justify;">This paper continues to study the central relaxing schemes for system of hyperbolic conservation laws, based on the local relaxation approximation. Two classes of relaxing systems with stiff source term are introduced to approximate system of conservation laws in curvilinear coordinates. Based on them, the semi-implicit relaxing schemes are constructed as in [6,12] without using any linear or nonlinear Riemann solvers. Numerical experiments for one-dimensional and two-dimensional problems are presented to demonstrate the performance and resolution of the current schemes. &nbsp;</p>