A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

被引：6

作者：

Du, Yulong ^{[1
]}

Yuan, Li ^{[2
,3
,4
]}

Wang, Yahui ^{[2
,3
,4
]}

机构：

[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China

[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2019年 / 26卷 / 03期

关键词：

Finite volume method; high-order accuracy; dimension-by-dimension reconstruction; Cartesian grid; SCHEME; ACCURACY;

D O I：

10.4208/cicp.OA-2018-0254

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The modified dimension-by-dimension finite volume (FV) WENO method on Cartesian grids proposed by Buchmuller and Helzel can retain the full order of accuracy of the one-dimensional WENO reconstruction and requires only one flux computation per interface. The high-order accurate conversion between face-averaged values and face-center point values is the main ingredient of this method. In this paper, we derive sixth-order accurate conversion formulas on three-dimensional Cartesian grids. It is shown that the resulting modified FV WENO method is efficient and high-order accurate when applied to smooth nonlinear multidimensional problems, and is robust for calculating non-smooth nonlinear problems with strong shocks.

引用

页码：768 / 784

页数：17

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