Constructing non-reflecting boundary conditions using summation-by-parts in time

被引：3

作者：

Frenander, Hannes ^{[1
]}

Nordstrom, Jan ^{[1
]}

机构：

[1] Linkoping Univ, Dept Math, Div Computat Math, SE-58183 Linkoping, Sweden

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2017年 / 331卷

关键词：

Non-reflecting boundary conditions; Summation-by-parts; Simultaneous approximation terms; Finite differences; Stability; Accuracy; FINITE-DIFFERENCE APPROXIMATIONS; HYPERBOLIC SYSTEMS; SCHEMES; WAVES;

D O I：

10.1016/j.jcp.2016.11.038

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we provide a new approach for constructing non-reflecting boundary conditions. The boundary conditions are based on summation-by-parts operators and derived without Laplace transformation in time. We prove that the new non-reflecting boundary conditions yield a well-posed problem and that the corresponding numerical approximation is unconditionally stable. The analysis is demonstrated on a hyperbolic system in two space dimensions, and the theoretical results are confirmed by numerical experiments. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：38 / 48

页数：11

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