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Application and analysis of an adaptive wave-based technique based on a boundary error indicator for the sound radiation simulation of a combustion engine model

Mócsai T., Diwoky F., Hepberger A., Priebsch H.-H., Augusztinovicz F.

Computer Assisted Methods in Engineering and Science

2015

Vol. 22, no. 1

3--30

In recent years, Trefftz methods have received increasing attention, as being alternatives of the already well-established element-based simulation methods (e.g., finite element and boundary element methods). The wave-based technique is based on the indirect Trefftz approach for the solution of steady-state, timeharmonic acoustic problems. The dynamic field variables are expanded in terms of wave functions, which satisfy the governing partial differential equation, but do not necessarily satisfy the imposed boundary conditions. Therefore, the approximation error of the method is exclusively caused by the error on the boundary, since there is no additional error present in the domain. The authors investigate the potentials of a novel boundary error indicator-controlled adaptive local refinement strategy. Practical, industrial-oriented application of the method is presented on the 3D free-field sound radiation model of a simplified combustion engine. Results and efficiency of the approach are compared to a priori, frequency-dependent global refinement strategies.

Application of the Wave Based techniques for steady-state semi-infinite sound radiation analysis

Rejlek J., Pluymers B., Hepberger A., Priebsch H.-H., Demset W.

Computer Assisted Mechanics and Engineering Sciences

2008

Vol. 15, No. 3/4

337-351

This paper reports on the development of a novel wave based prediction technique for the steady-state sound radiation analysis of three-dimensional semi-infinite problems. Instead of simple polynomial shape functions, this method adopts an indirect Trefftz approach, in which it uses the exact solutions of the governing differential equation for the field variables approximation. Since a fine discretization is no longer required, the resulting wave based models are substantially smaller than the element-based counterparts. Application of the proposed approach to various validation examples illustrates an enhanced computational efficiency as compared with element-based methods.