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ACOUSTIC WAVE PROPAGATION IN STROGLY HETEROGENEOUS MEDIA: A LATTICE BOLTZMANN APPROACH
Abstract
Here we show how a lattice Boltzmann based approach accurately model acoustic wave propagation in strongly heterogeneous media. Rather than solving a partial-differential wave equation in a continuous medium, the lattice-Boltzmann based method directly simulates the physical processes of wave propagation: transportation, reflection and transmission. It can accurately handle sharp interfaces at any locations along lattice links, and total reflections from free surfaces or empty bubbles. I used empty and nonempty bubbles as heterogeneity in finely layered media and solved the equation of the wave in these heterogeneous media. The results not only coincide with the reality but also take less time than finite difference method and were more accurate.
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