期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 313, 期 -, 页码 726-753出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2016.01.038
关键词
WENO schemes; Smoothness indicators; High-order methods; High resolution shock capturing schemes; Hyperbolic conservation laws
资金
- CAPES
- CNPq
In this article, we show that for a WENO scheme to improve the numerical resolution of smooth waves, increasing to some extent the contribution of the substencils where the solution is less smooth is much more important than improving the accuracy at critical points. WENO-Z, for instance, achieved less dissipative results than classical WENO through the use of a high-order global smoothness measurement, tau, which increased the weights of less-smooth substencils. This time, we present a way of further increasing the relevance of less-smooth substencils by adding a new term to the WENO-Z weights that uses information which is already available in its formula. The improved scheme attains much better resolution at the smooth parts of the solution, while keeping the same numerical stability of the original WENO-Z at shocks and discontinuities. (C) 2016 Elsevier Inc. All rights reserved.
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