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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:331

Article

Frenander, Hannes¹  Nordstrom, Jan¹ 

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

关键词: Non-reflecting boundary conditions;    Summation-by-parts;    Simultaneous approximation terms;    Finite differences;    Stability;    Accuracy;   

DOI  :  10.1016/j.jcp.2016.11.038

来源: Elsevier

【 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.

【 授权许可】

Free