A new framework to construct third‐order weighted essentially nonoscillatory weights using weight limiter functions,International Journal for Numerical Methods in Fluids

当前位置： X-MOL 学术 › Int. J. Numer. Methods Fluids › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

A new framework to construct third‐order weighted essentially nonoscillatory weights using weight limiter functions
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-10-07 , DOI: 10.1002/fld.4926
Sabana Parvin ₁ , Ritesh Kumar Dubey ₁

Affiliation

A new simple and generic framework is proposed to construct nonlinear weights for third‐order weighted essentially nonoscillatory scheme (WENO) reconstructions. It is done by imposing necessary conditions on nonlinear weights to get a nonoscillatory WENO scheme. These conditions give further insight into the required structure of nonlinear weights to design third‐order WENO schemes. This new framework for WENO weights is completely different from the existing prevailing approaches. Several nonlinear weights using different functions of a smoothness parameter (termed as weight limiter functions) are proposed and analyzed. These new weights by construction guarantee for third‐order accurate nonoscillatory scheme. Numerical results for various benchmark test problems are given and compared with WENO‐JS3 wnd WENO‐Z3 scheme. Computational results show that WENO schemes using proposed weights achieves third‐order accuracy for smooth solution and resolves discontinuities without spurious oscillations.

中文翻译：

使用权重限制器函数构造三阶加权基本非振荡权重的新框架

提出了一个新的简单通用框架来构造用于三阶加权基本非振荡方案（WENO）重建的非线性权重。通过在非线性权重上施加必要条件以获得非振荡的WENO方案来完成此操作。这些条件进一步了解了设计三阶WENO方案所需的非线性权重结构。WENO权重的这一新框架与现有的主流方法完全不同。提出并分析了使用平滑度参数的不同函数（称为权重限制器函数）的几种非线性权重。这些新的权重通过结构保证了三阶精确的非振荡方案。给出了各种基准测试问题的数值结果，并与WENO‐JS3和WENO‐Z3方案进行了比较。

更新日期：2020-10-07

点击分享查看原文

点击收藏

阅读更多本刊最新论文本刊介绍/投稿指南11