A stable dissipative compact finite difference scheme with global accuracy of ninth order

被引：2
|
作者：
Chen, Yaming [1 ]
Deng, Xiaogang [1 ]
机构：
[1] Natl Univ Def Technol, Coll Aerosp Sci & Engn, Changsha 410073, Hunan, Peoples R China
来源：
COMPUTERS & FLUIDS | 2019年 / 185卷
基金：
中国国家自然科学基金;
关键词：
Ninth order; Dissipative compact; Boundary closures; Curvilinear grid; BOUNDARY-CONDITIONS; STRICT STABILITY; CONVERGENCE RATE; HYPERBOLIC PDES; APPROXIMATIONS; CONSERVATION; OPERATORS;
D O I：
10.1016/j.compfluid.2019.04.002
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider in this paper a ninth-order dissipative compact finite difference scheme. To stabilize the scheme for initial boundary value problems, we introduce the so-called conservative solution points (Deng and Chen, 2018) [9] near the boundaries of computational domain, such that the scheme is stable with global accuracy of ninth order. Various aspects of the scheme are discussed, including the resolution property with respect to the free dissipative parameter appearing in the scheme, the strict stability property for one-dimensional scalar linear advection equations and the issue at the stage of grid generation. Some two-dimensional problems on curvilinear grids are computed to show validity of the scheme. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：13 / 21
页数：9
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