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ALTERNATIVE TIME DOMAIN BOUNDARY INTEGRAL EQUATIONS FOR THE SCALAR WAVE EQUATION USING DIVERGENCE-FREE REGULARIZATION TERMS

Georgios Natsiopoulos (Institutionen för bygg- och miljöteknik, Teknisk akustik, Rumsakustik)
Journal of Computational Acoustics (0218-396X). Vol. 17 (2009), 2, p. 211-218.
[Artikel, refereegranskad vetenskaplig]

In this short note alternative time domain boundary integral equations (TDBIE) for the scalar wave equation are formulated on a surface enclosing a volume. The technique used follows the traditional approach of subtracting and adding back relevant Taylor expansion terms of the field variable, but does not restrict this to the surface patches that contain the singularity only. From the divergence-free property of the added-back integrands, together with an application of Stokes' theorem, it follows that the added-back terms can be evaluated using line integrals defined on a cut between the surface and a sphere whose radius increases with time. Moreover, after a certain time, the line integrals may be evaluated directly. The results provide additional insight into the theoretical formulations, and might be used to improve numerical implementations in terms of stability and accuracy.

Nyckelord: boundary integral equation, hypersingular, time domain, three-dimensional, collocation, singularity subtraction, Stokes', theorem, divergence-free, closed surface, stabilization, element method, numerical solution, scattering, stability



Denna post skapades 2010-03-01.
CPL Pubid: 116735

 

Institutioner (Chalmers)

Institutionen för bygg- och miljöteknik, Teknisk akustik, Rumsakustik (2005-2017)

Ämnesområden

Akustik

Chalmers infrastruktur