一种带有高精度多维限制器的中心格式  

A Central Scheme with High Precision Multidimensional Limiting Process

作　　者：唐树江[1] 韩爽 李明军[1] TANG Shu-jiang;HAN Shuang;LI Ming-jun(School of Mathematics and Computational Sciences,Xiangtan University,Xiangtan 411105 China)

机构地区：[1]湘潭大学数学与计算科学学院,湖南湘潭411105

出　　处：《湘潭大学学报（自然科学版）》2019年第1期31-36,共6页Journal of Xiangtan University(Natural Science Edition)

基　　金：国家自然科学基金项目(11871414)

摘　　要：通过将高精度多维限制器(MLP)引入中心迎风格式(KT格式)中,重构出一种具有高分辨率的KT-MLP格式.该格式弥补了KT格式一维构造中的缺陷,且保留了KT格式无需求解黎曼求解器的优点.通过对几类经典二维黎曼问题的数值求解,相比经典的KT格式,KT-MLP格式具有更高的分辨率和精度.In this paper,the high precision multidimensional limiting process(MLP)is introduced into the central upwind scheme(KT scheme)for the first time,and a class of high resolution KT-MLP scheme is reconstructed.The scheme makes up for the defect of one-dimensional construction of KT scheme and preserves the advantages that the KT scheme does not need to solve Riemann solver.By comparing numerical solutions of some two-dimensional Riemann problems,the KT-MLP scheme has higher resolution and accuracy than the existing KT scheme.

关 键 词：KT格式 高精度多维限制器(MLP) 高分辨率 黎曼问题 

分 类 号：O241.8[理学—计算数学]