The Boundary Element Method With Finite Differences in Time

Georgios Natsiopoulos

The Boundary Element Method With Finite Differences in Time
Report, 2005

This report deals with the formulation and calculation of boundary element methods (BEM) in the time domain. One of the greatest advantages with BEM is that only the boundary of the room has to be discretized instead of the whole enclosed volume. This will usually decrease the calculation time significantly, but the problems with BEM are instead that the integrals on the boundary become more singular, since more information has to be concentrated on a smaller domain (the boundary instead of the volume). This means that the method becomes quite sensitive to numerical evaluation of integrals etc. In this report BEM is formulated and analyzed for acoustic scattering in the time domain, followed by a numerical example that investigates the stability of the method.

scattering

time domain

explicit interpolation

spatial and temporal discretization

Green’s function

quiescent past

BEM

hypersingular

acoustics

energy conservation

marching on in time

Author

Georgios Natsiopoulos

Chalmers, Civil and Environmental Engineering, Applied Acoustics

Other publications Research

Subject Categories (SSIF 2011)

Civil Engineering

Report - Department of Civil and Environmental Engineering, Chalmers University of Technology: 4

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12/5/2019

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