TY - JOUR
T1 - On the Central Relaxing Schemes I: Single Conservation Laws
AU - Tang , Hua-Zhong
JO - Journal of Computational Mathematics
VL - 3
SP - 313
EP - 324
PY - 2000
DA - 2000/06
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9045.html
KW - Hyperbolic conservation laws, the relaxing scheme,  TVD, cell entropy inequality.
AB - <p style="text-align: justify;">In this first paper we present a central relaxing scheme for scalar conservation laws, based on using the local relaxation approximation. Our scheme is obtained without using linear or nonlinear Riemann solvers. A cell entropy inequality is studied for the semidiscrete central relaxing scheme, and a second order MUSCL scheme is shown to be TVD in the zero relaxation limit. The next paper will extend the central relaxing scheme to multi-dimensional systems of conservation laws in curvilinear coordinates, including numerical experiments for 1D and 2D problems.</p>