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Paper detail

Lattice Boltzmann Method for wave propagation in elastic solids with a regular lattice: Theoretical analysis and validation

The von Neumann stability analysis along with a Chapman-Enskog analysis is proposed for a single-relaxation-time lattice Boltzmann Method (LBM) for wave propagation in isotropic linear elastic solids, using a regular D2Q9 lattice. Different boundary conditions are considered: periodic, free surface, rigid interface. An original absorbing layer model is proposed to prevent spurious wave reflection at domain boundaries. The present method is assessed considering several test cases. First, a spatial Gaussian force modulated in time by a Ricker wavelet is used as a source. Comparisons are made with results obtained using a classical Fourier spectral method. Both P and S waves are shown to be very accurately predicted. The case of Rayleigh surface waves is then addressed to check the accuracy of the method.

preprint2020arXivOpen access
Maxime EscandePraveen Kumar KolluruLouis Marie CléonPierre Sagaut
Computational Engineering, Finance, and Sciencephysics.comp-ph
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Maxime EscandePraveen Kumar KolluruLouis Marie CléonPierre Sagaut

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