A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary

被引：17

作者：

Lindquist, Joseph M. ^{[1
]}

Neta, Beny ^{[1
]}

Giraldo, Francis X. ^{[1
]}

机构：

[1] USN, Postgrad Sch, Dept Appl Math, Monterey, CA 93943 USA

来源：

WAVE MOTION | 2010年 / 47卷 / 05期

关键词：

Klein-Gordon equation; High-order; Non-reflecting boundary condition; Spectral elements; Higdon; Givoli-Neta; Runge-Kutta; DEPENDENT SCATTERING; DISPERSIVE WAVES; FORMULATION; EXTENSIONS; SCHEME;

D O I：

10.1016/j.wavemoti.2009.11.007

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A spectral element (SE) implementation of the Givoli-Neta non-reflecting boundary condition (NRBC) is considered for the solution of the Klein-Gordon equation. The infinite domain is truncated via an artificial boundary B, and a high-order NRBC is applied on B. Numerical examples, in various configurations, concerning the propagation of a pressure pulse are used to demonstrate the performance of the SE implementation. Effects of time integration techniques and long term results are discussed. Specifically, we show that in order to achieve the full benefits of high-order accuracy requires balancing all errors involved: this includes the order of accuracy of the spatial discretization method, time-integrators, and boundary conditions. Published by Elsevier B.V.

引用

页码：289 / 298

页数：10

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