...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Computational Physics >High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
【24h】

High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws

机译：高阶加权的基本上非振荡的WENO-Z方案，用于双曲守恒律

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In [10], the authors have designed a new fifth order WENO finite-difference scheme by adding a higher order smoothness indicator which is obtained as a simple and inexpensive linear combination of the already existing low order smoothness indicators. Moreover, this new scheme, dubbed as WENO-Z, has a CPU cost which is equivalent to the one of the classical WENO-JS [2], and smaller than that of the mapped WENO-M, [5], since it involves no mapping of the nonlinear weights. In this article, we take a closer look at Taylor expansions of the Lagrangian polynomials of the WENO substencils and the related inherited symmetries of the classical lower order smoothness indicators to obtain a general formula for the higher order smoothness indicators that allows the extension of the WENO-Z scheme to all (odd) orders of accuracy. We further investigate the improved accuracy of the WENO-Z schemes at critical points of smooth solutions as well as their distinct numerical features as a result of the new sets of nonlinear weights and we show that regarding the numerical dissipation WENO-Z occupies an intermediary position between WENO-JS and WENO-M. Some standard numerical experiments such as the one dimensional Riemann initial values problems for the Euler equations and the Mach 3 shock density-wave interaction and the two dimensional double-Mach shock reflection problems are presented.
机译：在[10]中，作者设计了一种新的五阶WENO有限差分方案，方法是增加一个高阶平滑度指标，该指标是由已经存在的低阶平滑度指标的简单且廉价的线性组合获得的。此外，这种称为WENO-Z的新方案的CPU成本相当于经典WENO-JS [2]的一个，并且比映射的WENO-M [5]的CPU成本小，因为它涉及没有非线性权重的映射。在本文中，我们仔细研究了WENO子项的Lagrangian多项式的泰勒展开式和经典低阶平滑度指标的相关继承对称性，从而获得了允许扩展WENO的高阶平滑度指标的一般公式-Z方案的所有（奇数）次精度。由于新的非线性权重集，我们进一步研究了WENO-Z方案在光滑解的关键点处的改进精度以及其独特的数值特征，并且我们证明了在数值耗散方面，WENO-Z处于中间位置在WENO-JS和WENO-M之间。提出了一些标准的数值实验，例如欧拉方程的一维黎曼初始值问题，马赫数3激波-波相互作用以及二维双马赫数激波反射问题。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号