An improved accurate monotonicity-preserving scheme for the Euler equations

被引：22

作者：

He, Zhiwei ^{[1
]}

Zhang, Yousheng ^{[1
]}

Gao, Fujie ^{[1
]}

Li, Xinliang ^{[2
]}

Tian, Baolin ^{[1
]}

机构：

[1] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100094, Peoples R China

[2] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China

来源：

COMPUTERS & FLUIDS | 2016年 / 140卷

关键词：

Monotonicity-preserving; Accuracy-preserving; TVD; Flux limiter; Hyperbolic conservation laws; HIGH-RESOLUTION SCHEMES; HIGH-ORDER; EFFICIENT IMPLEMENTATION; FLOW; TURBULENCE;

D O I：

10.1016/j.compfluid.2016.09.002

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The accurate monotonicity-preserving (MP) scheme of Suresh and Huynh (1997) [5] is a high-order and high-resolution method for hyperbolic conservation laws. However, the robustness of the MP scheme is not very high. In this paper, a detailed analysis on this scheme is performed, and two potential causes which may account for the weak robustness are revealed. Furthermore, in order to enhance the robustness of the MP scheme, an improved version of the MP scheme is presented, in which a strict continuous total-variation-diminishing (TVD) numerical flux is used at a disturbed discontinuity so that oscillations cannot grow indefinitely without violating the TVD condition. Without destroying the very high resolution property, numerical tests show that the improved scheme shares a strong robustness in simulating extreme numerical tests. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：1 / 10

页数：10

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