Initial Conditions Contribution in Frequency-Domain BEM Analysis

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 b...

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Vydáno v:Computer modeling in engineering & sciences Ročník 6; číslo 1; s. 31 - 42
Hlavní autoři: Mansur, W J, Abreu, A I, Carrer, J A M
Médium: Journal Article
Jazyk:angličtina
Vydáno: Henderson Tech Science Press 01.01.2004
Témata:
Algorithms
Boundary element method
Fast Fourier transformations
Fourier transforms
Frequency analysis
Frequency domain analysis
Initial conditions
Two dimensional analysis
Wave propagation
ISSN:1526-1492, 1526-1506
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Shrnutí: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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ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2004.006.031