自适应有限差分WENO方法下的一种混合标记方法
首发时间:2013-08-27
摘要:本文主要介绍了一种欧拉方程下自适应有限差分WENO方法的一种混合的标记策略。该标记策略自适应地使用了基于理查德森外推和基于WENO权重的标记方法,以求达到提高算法运行速度和对接触间断分辨率的目的。在本文提供的数值实验中,证明了使用该标记策略的自适应有限差分WENO方法大大减少了运行时间并且能更好的处理接触间断。
关键词: 自适应有限差分WENO方法 理查德森外推 WENO权重 混合的标记策略
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A HYBRID MARKING STRATEGY WITHIN ADAPTIVE MESH REFINEMENT BASED ON FINITE DIFFERENCE WENO SCHEMES
Abstract:In this paper, we mainly introduce a hybrid flagging strategy for adaptive mesh refinement based on finite difference WENO (AMR-WENO-FD) schemes under Euler equations. The flagging strategy adaptively use the marking strategy based on Richardson extrapolation (RE) and the one using WENO weights (WENO weights). Our goal is to raise the running speed and resolution toward contact discontinuity. Numerical result is used to demonstrate the high efficiency of the method and the high resolution to contact discontinuity in comparison to two original methods.
Keywords: adaptive mesh refinement (AMR) Richardson extrapolation WENO weights hybrid flagging strategy
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