Analysis of convergence and accuracy of the DRBEM for axisymmetric Helmholtz-type equation

Perrey-Debain, E.

doi:10.1016/s0955-7997(99)00015-6

Cited by 8 publications

(8 citation statements)

References 11 publications

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“…The idea is to use a three-dimensional particular solution and integrate it with respect to () from 0 to 21r. This method has been explored in [6] for the Helmholtz equation. in that case, Uj is expressed by an integral.…”

Section: Remarkmentioning

confidence: 99%

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Alternative DRM formulations

Wang

Mattheij

Morsche

2003

Engineering Analysis with Boundary Elements

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Section: Remarkmentioning

confidence: 99%

“…In [6], the author has numerically shown the local property of ¢>jo This is important when the function to be interpolated varies steeply over the domain.…”

Section: Remarkmentioning

confidence: 99%

Alternative DRM formulations

Wang

Mattheij

Morsche

2003

Engineering Analysis with Boundary Elements

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“…Lee, et al [7] used the DRBEM to model the acoustic radiation in a subsonic non-uniform flow field, and indicated that the Sommerfeld-radiation condition at infinite was satisfied when DRBEM was used to deal with this problem. Perrey-Debain [8] applied the DRBEM to calculate the sound field in the straight ducts with uniform flow. However, the application of DRBEM to predict the acoustic attenuation performance of silencers with three-dimensional complex flow has not been reported in the literature.…”

Section: Introductionmentioning

confidence: 99%

Application of dual reciprocity boundary element method to predict acoustic attenuation characteristics of marine engine exhaust silencers

Wang

2008

J. Marine. Sci. Appl.

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In marine engine exhaust silencing systems, the presence of exhaust gas flow influences the sound propagation inside the systems and the acoustic attenuation performance of silencers. In order to investigate the effects of three-dimensional gas flow and acoustic damping on the acoustic attenuation characteristics of marine engine exhaust silencers, a dual reciprocity boundary element method (DRBEM) was developed. The acoustic governing equation in three-dimensional potential flow was derived first, and then the DRBEM numerical procedure is given. Compared to the conventional boundary element method (CBEM), the DRBEM considers the second order terms of flow Mach number in the acoustic governing equation, so it is suitable for the cases with higher Mach number subsonic flow. For complex exhaust silencers, it is difficult to apply the single-domain boundary element method, so a substructure approach based on the dual reciprocity boundary element method is presented. The experiments for measuring transmission loss of silencers are conducted, and the experimental setup and measurements are explained. The transmission loss of a single expansion chamber silencer with extended inlet and outlet were predicted by DRBEM and compared with the measurements. The good agreements between predictions and measurements are observed, which demonstrated that the derived acoustic governing equation and the DRBEM numerical procedure in the present study are correct.

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“…In the present work the dual reciprocity method [1] is used to solve axisymmetric problems. The DRM has been used previously for axisymmetric problems, see for example [2,3,4]. The difference in this case is that the Laplace fundamental solution is used instead of the one for axisymmetric problems expressed in terms of Eliptic integrals.…”

Section: Introductionmentioning

confidence: 99%

DRM formulation for axisymmetric laser-material interactions

Gospavić¹,

Popov²,

Srecković³

et al. 2006

WIT Transactions on Modelling and Simulation, Vol 42

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reciprocity method (BE-DRM) is presented. Thermal effects in the case of cylindrical geometry for mono as well as multi layer structures were considered. The different aspects of interaction up to the melting point of considered materials are presented. The effect of temperature dependence of the absorption coefficients on the process of laser heating was considered. The BEM formulation is based on the fundamental solution for the Laplace equation. The numerical results for spatial as well as temporal temperature distribution inside the material bulk are presented. Two cases were considered: a mono-layer and a multi layer case. In the case of a mono-layer structure DRM and DRM-MD approaches were used, and the numerical results were compared with the analytical ones. In the multi layer case only the DRM-MD approach was used.

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Analysis of convergence and accuracy of the DRBEM for axisymmetric Helmholtz-type equation

Cited by 8 publications

References 11 publications

Alternative DRM formulations

Alternative DRM formulations

Application of dual reciprocity boundary element method to predict acoustic attenuation characteristics of marine engine exhaust silencers

DRM formulation for axisymmetric laser-material interactions

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