A Trefftz based method for solving Helmholtz problems in semi-infinite domains

被引：16

作者：

Bergen, Bart ^{[1
]}

Pluymers, Bert ^{[1
]}

Van Genechten, Bert ^{[1
]}

Vandepitte, Dirk ^{[1
]}

Desmet, Wim ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Div PMA, Dept Mech Engn, B-3001 Louvain, Belgium

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2012年 / 36卷 / 01期

关键词：

Trefftz method; Wave based method; Helmholtz problems; Semi-unbounded problems; FINITE-ELEMENT METHODS; PREDICTION TECHNIQUE; COLLOCATION; 2D;

D O I：

10.1016/j.enganabound.2011.04.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The wave based method (WBM), which is based on an indirect Trefftz approach, is a deterministic prediction method posed as an alternative to the element-based methods. It uses wave functions, which are exact solutions of the underlying differential equation, to describe the dynamic field variables. In this way, it can avoid the pollution errors associated with the polynomial element-based approximations. As a consequence, a dense element discretization is no longer required, yielding a smaller numerical system. The resulting enhanced computational efficiency of the WBM as compared to the element-based methods has been proven for the analysis of both bounded and unbounded acoustic problems. This paper extends the applicability of the WBM to semi-infinite domains. An appropriate function set is proposed, together with a calculation procedure for both semi-infinite radiation and scattering problems, and transmission or diffraction problems containing a rigid baffle. The resulting technique is validated on two numerical examples. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：30 / 38

页数：9

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