A nonintrusive reduced basis method applied to aeroacoustic simulations

Fabien Casenave 1 Alexandre Ern 2 Tony Lelièvre 2, 3
Inria de Paris, CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
Abstract : The Reduced Basis Method can be exploited in an efficient way only if the so-called affine dependence assumption on the operator and right-hand side of the considered problem with respect to the parameters is satisfied. When it is not, the Empirical Interpolation Method is usually used to recover this assumption approximately. In both cases, the Reduced Basis Method requires to access and modify the assembly routines of the corresponding computational code, leading to an intrusive procedure. In this work, we derive variants of the EIM algorithm and explain how they can be used to turn the Reduced Basis Method into a nonintrusive procedure. We present examples of aeroacoustic problems solved by integral equations and show how our algorithms can benefit from the linear algebra tools available in the considered code.
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Submitted on : Wednesday, January 22, 2014 - 1:57:32 PM
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Fabien Casenave, Alexandre Ern, Tony Lelièvre. A nonintrusive reduced basis method applied to aeroacoustic simulations. Advances in Computational Mathematics, Springer Verlag, 2014, 41 (5), pp.961 - 986. ⟨10.1007/s10444-014-9365-0⟩. ⟨hal-00934641⟩



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