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

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  • Neumann, Philipp
  • Bungartz, Hans-Joachim

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.

Suggested Citation

  • Neumann, Philipp & Bungartz, Hans-Joachim, 2015. "Dynamically adaptive Lattice Boltzmann simulation of shallow water flows with the Peano framework," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 795-804.
    • Handle: RePEc:eee:apmaco:v:267:y:2015:i:c:p:795-804
    DOI: 10.1016/j.amc.2014.10.049
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    References listed on IDEAS

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    1. Chen, H. & Filippova, O. & Hoch, J. & Molvig, K. & Shock, R. & Teixeira, C. & Zhang, R., 2006. "Grid refinement in lattice Boltzmann methods based on volumetric formulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(1), pages 158-167.
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