A stabilized finite element method for the mixed wave equation in an ALE framework with application to diphthong production

Oriol Guasch, Marc Arnela, Ramon Codina, Hector Espinoza

Producció científica: Article en revista indexadaArticleAvaluat per experts

33 Cites (Scopus)

Resum

Working with the wave equation in mixed rather than irreducible form allows one to directly account for both, the acoustic pressure field and the acoustic particle velocity field. Indeed, this becomes the natural option in many problems, such as those involving waves propagating in moving domains, because the equations can easily be set in an arbitrary Lagrangian-Eulerian (ALE) frame of reference. Yet, when attempting a standard Galerkin finite element solution (FEM) for them, it turns out that an inf-sup compatibility constraint has to be satisfied, which prevents from using equal interpolations for the approximated acoustic pressure and velocity fields. In this work it is proposed to resort to a subgrid scale stabilization strategy to circumvent this condition and thus facilitate code implementation. As a possible application, we address the generation of diphthongs in voice production.

Idioma originalAnglès
Pàgines (de-a)94-106
Nombre de pàgines13
RevistaActa Acustica united with Acustica
Volum102
Número1
DOIs
Estat de la publicacióPublicada - 1 de gen. 2016

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