WCNS schemes and some recent developments

IF 2.9 3区 工程技术 Q2 ENGINEERING, MECHANICAL Advances in Aerodynamics Pub Date : 2024-01-25 DOI:10.1186/s42774-023-00165-x
Yaming Chen, Xiaogang Deng
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Abstract

Weighted compact nonlinear schemes (WCNS) are a family of nonlinear shock capturing schemes that are suitable for solving problems with discontinuous solutions. The schemes are based on grids staggered by flux points and solution points, resulting in algorithms with the nonlinear interpolation step independent of the difference step. Thus, only linear difference operators are needed, such that geometric conservation law can be preserved easily, resulting in the preservation of freestream condition. In recent years, these schemes have attracted a lot of attention in the community of computational fluid dynamics. This paper intends to give a brief review of the basic algorithms of these schemes and present some related recent developments.
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WCNS 计划和最近的一些发展
加权紧凑非线性方案(WCNS)是一系列非线性冲击捕捉方案,适用于解决解不连续的问题。这些方案基于通量点和求解点交错的网格,使得算法的非线性插值步骤与差分步骤无关。因此,只需要线性差分算子,就可以轻松地保留几何守恒定律,从而保留自由流条件。近年来,这些方案在计算流体动力学界引起了广泛关注。本文旨在简要回顾这些方案的基本算法,并介绍一些相关的最新进展。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
4.50
自引率
4.30%
发文量
35
审稿时长
11 weeks
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