A Hybridizable Galerkin Discontinuous formulation for elasto-acoustic coupling in frequency-domain

Couplage élasto-acoustique en domaine fréquentiel par des méthodes de type Galerkine Discontinues Hybride

Vinduja Vasanthan (1)

1 MAGIQUE-3D - Magique 3D. Modélisation Avancée en GéophysIQUE 3D

We are surrounded by many solid-fluid interactions, such as the seabed or red blood cells. Indeed, the seabed represents the ocean floors immersed in water, and red blood cells are coreless hemoglobin-filled cells. Hence, when wanting to study the propagation of waves in such domains, we need to take into account the interactions at the solid-fluid interface. Therefore, we need to implement an elasto-acoustic coupling. Many methods have already tackled with the elasto-acoustic coupling, particularly the Discontinuous Galerkin method. However, this method needs a large amount of degrees of freedom, which increases the computational cost. It is to overcome this drawback that the Hybridizable Discontinuous Galerkin (HDG) has been introduced. The implementations of HDG for the elastic wave equations, as well as partially for the acoustic ones, have been done previously in the numerical simulations code library Hou10ni. Using these, we have performed in this work the elasto-acoustic coupling for the HDG methods in 1D, 2D and 3D.

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

Vinduja Vasanthan. Couplage élasto-acoustique en domaine fréquentiel par des méthodes de type Galerkine Discontinues Hybride. Mathématiques [math]. 2019. ⟨hal-02431330⟩