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This paper addresses the propagation of high amplitude acoustic pulses through a 1D lattice of Helmholtz resonators connected to a waveguide. Based on the model proposed by Sugimoto (J. Fluid. Mech., 244 (1992), 55-78), a new numerical method is developed to take into account both the nonlinear wave propagation and the different mechanisms of dissipation:… (More)

- Bruno Lombard, Rosa Donat
- SIAM J. Scientific Computing
- 2005

Abstract. This paper concerns the numerical approximation of the Euler equations for multicomponent flows. A numerical method is proposed to reduce spurious oscillations that classically occur around material interfaces. It is based on the ”Explicit Simplified Interface Method” (ESIM), previously developed in the linear case of acoustics with stationary… (More)

- B. Lombard, J. Piraux, C. Gélis, J. Virieux
- 2008

A method is proposed for accurately describing arbitrary-shaped free boundaries in finitedifference schemes for elastodynamics, in a time-domain velocity-stress framework. The basic idea is as follows: fictitious values of the solution are built in vacuum, and injected into the numerical integration scheme near boundaries. The most original feature of this… (More)

- Guillaume Chiavassa, Bruno Lombard
- J. Comput. Physics
- 2011

This paper deals with the numerical modeling of wave propagation in porous media described by Biot’s theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear function of the relative velocity, which is valid in the low-frequency range. The coexistence of propagating fast compressional wave and shear wave, and of a… (More)

- Bruno Lombard, Joël Piraux
- SIAM J. Scientific Computing
- 2003

- Emilie Blanc, Guillaume Chiavassa, Bruno Lombard
- J. Comput. Physics
- 2013

A time-domain numerical modeling of Biot poroelastic waves is presented. The viscous dissipation occurring in the pores is described using the dynamic permeability model developed by Johnson-Koplik-Dashen (JKD). Some of the coefficients in the Biot-JKD model are proportional to the square root of the frequency: in the time-domain, these coefficients… (More)

- Bruno Lombard, Joël Piraux
- SIAM J. Scientific Computing
- 2006

Abstract. A numerical method is described for studying how elastic waves interact with imperfect contacts such as fractures or glue layers existing between elastic solids. These contacts have been classicaly modeled by interfaces, using a simple rheological model consisting of a combination of normal and tangential linear springs and masses. The jump… (More)

- Guillaume Chiavassa, Bruno Lombard, Joël Piraux
- J. Computational Applied Mathematics
- 2010

Propagation of transient mechanical waves in porous media is numerically investigated in 1D. The framework is the linear Biot’s model with frequency-independant coefficients. The coexistence of a propagating fast wave and a diffusive slow wave makes numerical modeling tricky. A method combining three numerical tools is proposed: a fourth-order ADER scheme… (More)

- Mathieu Chekroun, Löıc Le Marrec, Bruno Lombard, Joël Piraux
- 2013

Elastic wave propagation is studied in a heterogeneous 2-D medium consisting of an elastic matrix containing randomly distributed circular elastic inclusions. The aim of this study is to determine the effective wavenumbers when the incident wavelength is similar to the radius of the inclusions. A purely numerical methodology is presented, with which the… (More)

- Bruno Lombard, Joël Piraux
- J. Comput. Physics
- 2011

This paper deals with the numerical modeling of transient mechanical waves in linear viscoelastic solids. Dissipation mechanisms are described using the generalized Zener model. No time convolutions are required thanks to the introduction of memory variables that satisfy local-in-time differential equations. By appropriately choosing the relaxation… (More)