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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2002; 54:10211041 (DOI: 10.1002/nme.458)
 

Summary: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Int. J. Numer. Meth. Engng 2002; 54:1021≠1041 (DOI: 10.1002/nme.458)
An algorithm coupling the OSRC and FEM for the
computation of an approximate scattered acoustic
ˇeld by a non-convex body
X. Antoine;
Laboratoire de Math√ematiques pour l'Industrie et la Physique; UMR 5640; Universit√e P. Sabatier;
Toulouse III; UFR MIG 118 route de Narbonne; 31062 Toulouse Cedex 4; France
SUMMARY
This paper describes a new formulation to solve the acoustic scattering problem by a non-convex
structure. The presented hybrid algorithms connect the on-surface radiation condition method to accel-
erate the calculations with a two-dimensional ˇnite element method to treat the non-convex part of the
domain. This allows the problem of truncating the computational domain to be overcome. The varia-
tional formulations associated with a Dirichlet or a Neumann boundary condition are considered. Finally,
we give some numerical results on a model test case to illustrate the improvement of accuracy of the
new algorithm compared to a pure OSRC approach. Copyright ? 2002 John Wiley & Sons, Ltd.
KEY WORDS: scattering; Helmholtz equation; on-surface radiation conditions; ˇnite element methods
1. INTRODUCTION
One of the important ˇelds of application of the Helmholtz equation concerns the computation
of acoustic ˇelds in scattering problems. A ˇrst important issue in this class of problems

  

Source: Antoine, Xavier - Institut de Mathťmatiques …lie Cartan, Universitť Henri Poincarť - Nancy 1

 

Collections: Mathematics