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Non-Matching Grids for a Flexible Discretization in Computational Acoustics

Published online by Cambridge University Press:  20 August 2015

Bernd Flemisch ,
Manfred Kaltenbacher ,
Simon Triebenbacher  and
Barbara Wohlmuth
Bernd Flemisch*
Affiliation:
Institute of Hydraulic Engineering, University of Stuttgart, Germany
Manfred Kaltenbacher*
Affiliation:
Applied Mechatronics, Alps-Adriatic University Klagenfurt, Austria
Simon Triebenbacher*
Affiliation:
Applied Mechatronics, Alps-Adriatic University Klagenfurt, Austria
Barbara Wohlmuth*
Affiliation:
Department of Numerical Mathematics, Technical University of Munich, Germany
*
Email address:Bernd.Flemisch@iws.uni-stuttgart.de
Corresponding author.Email:manfred.kaltenbacher@aau.at
Email address:simon.triebenbacher@aau.at
Email address:barbara.wohlmuth@ma.tum.de
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Abstract

Flexible discretization techniques for the approximative solution of coupled wave propagation problems are investigated. In particular, the advantages of using non-matching grids are presented, when one subregion has to be resolved by a substantially finer grid than the other subregion. We present the non-matching grid technique for the case of a mechanical-acoustic coupled as well as for acoustic-acoustic coupled systems. For the first case, the problem formulation remains essentially the same as for the matching situation, while for the acoustic-acoustic coupling, the formulation is enhanced with Lagrange multipliers within the framework of Mortar Finite Element Methods. The applications will clearly demonstrate the superiority of the Mortar Finite Element Method over the standard Finite Element Method both concerning the flexibility for the mesh generation as well as the computational time.

Keywords

65L6074S05Nonmatching gridsMortar FEMcomputational acousticspiezoelectric actuators
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 2 , February 2012 , pp. 472 - 488
Copyright
Copyright © Global Science Press Limited 2012

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