空气动力学学报2024，Vol.42Issue(6)：1-14,14.DOI:10.7638/kqdlxxb-2023.0187
高阶精度非线性加权格式权函数研究综述
Review on weighting functions of high-order nonlinear weighted methods
摘要
Abstract
After a brief introduction to the historical development of nonlinear schemes for capturing discontinuities,this paper delves into the research on selecting candidate stencils,calculating smoothness indicators and their relationships with nonlinear weighting functions.This review is centered on the fifth order WENO scheme,serving as a representative example of nonlinear weighted schemes.It highlights the crucial requirements for the leading term order of nonlinear weights to preserve the accuracy of these schemes,especially when dealing with candidate stencils of varying widths.This paper underscores the significance of smoothness indicator calculations in ensuring both the accuracy and efficiency of the scheme.Finally,it offers insights and suggestions for future research aimed at further enhancing nonlinear weighted schemes that utilize candidate stencils with non-uniform widths.关键词
高阶精度非线性格式/非线性加权方法/极值点降阶问题/非等宽候选模板集/计算流体力学Key words
high-order nonlinear scheme/nonlinear weighted method/order degradation problem at critical points/non-uniform width candidate stencil/CFD分类
航空航天引用本文复制引用
毛枚良,白进维,闵耀兵,马燕凯,江定武..高阶精度非线性加权格式权函数研究综述[J].空气动力学学报,2024,42(6):1-14,14.基金项目
国家自然科学基金(11972362,11672321,11372342) （11972362,11672321,11372342）
