Pré-Publication, Document De Travail Année : 2025

Hybrid high-order methods for elasto-acoustic wave propagation in the time domain

Résumé

We devise a Hybrid High-Order (HHO) method for the coupling between the acoustic and elastic wave equations in the time domain. A first-order formulation in time is considered. The HHO method can use equal-order and mixed-order settings, as well as O(1)-and O(1/h)-stabilizations. An energy-error estimate is established in the time-continuous case. A numerical spectral analysis is performed, showing that O(1)-stabilization is required to avoid excessive CFL limitations for explicit time discretizations. Moreover, the spectral radius of the stiffness matrix is fairly independent of the geometry of the mesh cells. For analytical solutions on general meshes, optimal convergence rates of order (k + 1) are shown in both equal-and mixed-order settings using O(1)-stabilization, whereas order (k + 2) is achieved in the mixed-order setting using O(1/h)-stabilization. Test cases with a Ricker wavelet as an initial condition showcase the relevance of the proposed method for the simulation of elasto-acoustic wave propagation across media with contrasted material properties.
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Dates et versions

hal-04934562 , version 1 (07-02-2025)

Identifiants

  • HAL Id : hal-04934562 , version 1

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Romain Mottier, Alexandre Ern, Rekha Khot, Laurent Guillot. Hybrid high-order methods for elasto-acoustic wave propagation in the time domain. 2025. ⟨hal-04934562⟩
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