Application of transparent boundary conditions to high-order finite-difference schemes for the wave equation in waveguides

被引：5
|
作者：
Sofronov, I. L. [1 ,2 ]
Dovgilovich, L. [1 ,2 ]
Krasnov, N. [1 ,2 ]
机构：
[1] Schlumberger, Moscow, Russia
[2] MIPT, Dolgoprudnyi, Moscow Region, Russia
来源：
APPLIED NUMERICAL MATHEMATICS | 2015年 / 93卷
关键词：
Wave equation; Transparent boundary conditions; Finite-difference schemes; High-order approximation;
D O I：
10.1016/j.apnum.2014.06.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a method for generating finite-difference approximations of transparent boundary conditions (TBCs) with the fourth and sixth order in space. It is based on the wave equation solution continuation extra two or three layers of grid points outside the computational domain to use them in central-difference operators on approaching the boundary. We present the theoretical background of the method, give estimates of computational resources, and discuss accuracy and stability results of numerical tests in 1D and 2D cases. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：195 / 205
页数：11
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