Open Access

ARTICLE

Initial Conditions Contribution in Frequency-Domain BEM Analysis

W. J. Mansur¹, A. I. Abreu¹, J. A. M. Carrer¹

1 Department of Civil Engineering, COPPE / Federal University of Rio de Janeiro, CXP 68506, CEP: 21945-970, Rio de Janeiro, RJ, Brasil, e-mail address; webe@coc.ufrj.br (W. J. Mansur)

Computer Modeling in Engineering & Sciences 2004, 6(1), 31-42. https://doi.org/10.3970/cmes.2004.006.031

Abstract

This work is concerned with the computation of the contribution of initial conditions in two-dimensional (2D) frequency-domain analysis of transient scalar wave propagation problems with the corresponding Boundary Element Method (BEM) formulation. The paper describes how pseudo-forces, represented by generalized functions, can replace the initial conditions, related to the potential and its time derivative. The generation of such pseudo-forces is the subject of a detailed discussion. The formulation presented here carries out Discrete Fourier Transform (Direct: DFT, and Inverse: IDFT) via FFT (Fast Fourier Transform) algorithms. At the end of the paper four examples are presented in order to show the potentialities and accuracy of the approach.

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Keywords

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