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logo SMC logo SMC  DYNA logo SMC  DYNA  ERROR A posteriori error estimation in acoustics
Contact Philippe Bouillard
Keywords finite elements, acoustics, error estimation, adaptive meshing, residuals
  • Prof. P. Ladevèze, ENS Cachan, France
Error estimation Lots of companies have to face problems related to the reduction of noise perception, either in order to improve passenger's comfort (noise perception in vehicles) or in order to reduce the exterior noise (environmental pollution). For both aspects, numerical simulations are today very powerful and of great interest since they can reduce the need of prototypes.

The Finite Element Method if often preferred to the Boundary Element Method in order to analyse confined places such as cars or buses. Such as for other application fields, the need for controlling the accuracy of the numerical approximate solution of an acoustic analysis has become mandatory.

The purpose of the research, partially funded by the Région Wallonne (Belgium), is to determine how a posteriori error estimators that have been developed for other application fields can be applied to acoustics.

Two estimators have already been successfully implemented:

  • estimation based on the Superconvergent Patch Recovery developed by O.C. Zienkiewicz and J.Z. Zhu;
  • estimation based on the residual in constitutive lawet al. developed by P. Ladevèze.

The a posteriori error estimation can give several interesting informations for the user such a:

  1. global relative error;
  2. optimal size distribution;
  3. (for SPR only) higher rates of convergence for the derivative field (velocity in acoustics).

The information number (2) is necessary in order to use an adaptive meshing procedure.

All the acoustic computations are performed with SYSNOISE software (NIT, Leuven, Belgium).