期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 24, 期 6, 页码 2185-2198出版社
SIAM PUBLICATIONS
DOI: 10.1137/S1064827502412504
关键词
weighted essentially nonoscillatory method; Lax-Wendroff-type time discretization; high order accuracy
In this paper we develop a Lax-Wendroff time discretization procedure for high order finite difference weighted essentially nonoscillatory schemes to solve hyperbolic conservation laws. This is an alternative method for time discretization to the popular TVD Runge - Kutta time discretizations. We explore the possibility in avoiding the local characteristic decompositions or even the nonlinear weights for part of the procedure, hence reducing the cost but still maintaining nonoscillatory properties for problems with strong shocks. As a result, the Lax - Wendro. time discretization procedure is more cost effective than the Runge - Kutta time discretizations for certain problems including two-dimensional Euler systems of compressible gas dynamics.
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