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Dynamically adaptive Lattice Boltzmann simulation of shallow water flows with the Peano framework

Philipp Neumann and Hans-Joachim Bungartz

Applied Mathematics and Computation, 2015, vol. 267, issue C, 795-804

Abstract: We present a dynamically adaptive Lattice Boltzmann (LB) implementation for solving the shallow water equations (SWEs). Our implementation extends an existing LB component of the Peano framework. We revise the modular design with respect to the incorporation of new simulation aspects and LB models. The basic SWE-LB implementation is validated in different breaking dam scenarios. We further provide a numerical study on stability of the MRT collision operator used in our simulations.

Keywords: Shallow water; Lattice Boltzmann; Adaptivity; AMR; Peano; Breaking dam (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:267:y:2015:i:c:p:795-804

DOI: 10.1016/j.amc.2014.10.049

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