GLINSKY , Nathalie

In this paper, we introduce a second-order leap-frog time scheme combined with a high-order discontinuous Galerkin method for the solution of the 3D elastodynamic equations. We prove that this explicit scheme is stable under a CFL type condition obtained from a discrete energy which is preserved in domains with free surface or decreasing in...

in this paper, we introduce a high-order discontinuous Galerkin method, based on centerd fluxes and a family of high-order leap-frog time schemes, for the solution of the 3D elastodynamic equations written in velocity-stress formulation. We prove that this explicit scheme is stable under a CFL type condition obtained from a discrete energy...

We present an extension of the nodal discontinuous Galerkin method for elastic wave propagation to high interpolation orders and arbitrary heterogeneous media. The high-order lagrangian interpolation is based on a set of nodes with excellent interpolation properties in the standard triangular element. In order to take into account highly...

A two-year seismological experiment in Rognes (South Eastern France) confirms the site effects responsible for the severe damage experienced during the 1909 Provence earthquake. Many experimental and numerical studies have been dedicated to quantify and understand the effect of topography on seismic ground motion. However, these local...

In this paper, we introduce a fourth-order leap-frog time scheme combined with a high-order discontinuous Galerkin method for the solution of the elastodynamic equations. The time discretization, obtained via a simple construction based on Taylor developments, provides an accurate scheme for the numerical simulation of seismic wave propagation....

We present a high-order discontinuous Galerkin method for the simulation of P-SV seismic wave propagation in heterogeneous media and two dimensions of space. The first-order velocity-stress system is obtained by assuming that the medium is linear, isotropic and viscoelastic, thus considering intrinsic attenuation. The associated stress-strain...

This paper discusses about the development of a high-order discontinuous Galerkin method for viscoelastic wave propagation.

This paper discusses about the development of a high-order discontinuous Galerkin method for viscoelastic wave propagation.

The numerical simulation of seismic wave propagation in realistic heterogeneous media, as sedimentary basins, is a key element of seismic hazard estimation. Many numerical methods in two dimensions are based on unstructured triangular meshes and explicit time schemes. However, the presence of thin layers and tangential stratigraphic contacts in...

International audience

We present a discontinuous Galerkin method for site effects assessment. The P-SV seismic wave propagation is studied in 2-D space heterogeneous media. The first-order velocity-stress system is obtained by assuming that the medium is linear, isotropic and viscoelastic, thus considering intrinsic attenuation. The associated stress-strain relation...

We propose a nodal high-order discontinuous Galerkin method for 1D wave propagation in nonlinear media. We solve the elastodynamic equations written in the velocity-strain formulation and apply an upwind flux adapted to heterogeneous media with nonlinear constitutive behavior coupling stress and strain. Accuracy, convergence and stability of...

International audience

The international project PRENOLIN is focused on verification and validation of numerical codes for ground motion simulations including nonlinear soil rheologies. In this particular study, we present implementations of the elasto-plastic Iwan model (Iwan, 1967) into numerical schemes based on finite-difference, finite element, spectral element...