A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article; Proceedings Paper

Laghrouche, O.¹  El-Kacimi, A.¹  Trevelyan, J.² 

[1] Heriot Watt Univ, Sch Built Environm, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Univ Durham, Sch Engn, Durham DH1 3LE, England

关键词: Helmholtz equation;    Finite elements;    Plane wave basis;    Non-reflecting boundary conditions;    Wave scattering;   

DOI  :  10.1016/j.cam.2009.08.014

来源: Elsevier

【 摘 要 】

In this work, exact and approximate non-reflecting boundary conditions (NRBCs) are implemented with the Partition of Unity Finite Element Method (PUFEM) to solve short wave scattering problems governed by the Helmholtz equation in two dimensions. By short wave problems, we mean situations in which the wavelength is a small fraction of the characteristic dimension of the scatterer. Various NRBCs are implemented and a comparison of their performance is carried out based on the accuracy of the results, ease of implementation and computational cost. The aim is to accurately model such problems in a reduced computational domain around the scatterer with fewer elements and without refining the mesh at each wave number. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free