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An Hybrid High-order Method for the Elasto-Acoustic Wave Propagation on General Meshes

Description: 

Because of the complex geometry of some geological features, the simulation of elasto-acoustic wave propagation in the Earth is challenging. To handle efficiently this difficulty, we consider hybrid high-order (HHO) methods, which offer several attractive assets such as local conservativity, geometric flexibility through the support of polyhedral grids, and high-order precision. As HDG methods, HHO relies on a pair of unknowns, combining polynomials attached to the mesh faces and the mesh cells. Here, HHO methods are studied for the space semi-discretization of coupled elasto-acoustic waves in the time domain using a first-order formulation. Explicit and singly diagonal implicit Runge–Kutta (ERK & SDIRK) schemes are used for the time discretization. We show that an efficient implementation of explicit (respectively implicit) time schemes calls for a static condensation of the face (resp. cell) unknowns. Our findings indicate that implicit time schemes remain competitive in many situations, at least in 2D. Simulations in a 2D realistic geophysical configuration (wave propagation in a sedimentary basin and coupling with the atmosphere) are performed, illustrating the geometrical flexibility of the HHO method: both hybrid (triangular and quadrilateral) and nonconforming (with hanging nodes) meshes are easily handled, delivering results of comparable accuracy to those of a reference spectral element solver.

Session: New Frontiers in Seismic Observations and Modeling with Innovative Methods and Emerging Data on Earth and Other Planets [Poster]

Type: Poster

Date: 4/17/2026

Presentation Time: 08:00 AM (local time)

Presenting Author: Laurent Guillot

Student Presenter: No

Invited Presentation: 

Poster Number: 113

Authors