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

Type
Article

Authors
Neumann, Philipp
Bungartz, Hans-Joachim

KAUST Grant Number
UK-C0020

Date
2015-09

Abstract
© 2014 Elsevier Inc. All rights reserved. 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.

Citation
Neumann P, Bungartz H-J (2015) Dynamically adaptive Lattice Boltzmann simulation of shallow water flows with the Peano framework. Applied Mathematics and Computation 267: 795–804. Available: http://dx.doi.org/10.1016/j.amc.2014.10.049.

Acknowledgements
This publication is based on work supported by Award No. UK-C0020, made by King Abdullah University of Science and Technology (KAUST). It was supported (in part) by the German Research Foundation (DFG) through the Priority Programme 1648 “Software for Exascale Computing” (SPPEXA).

Publisher
Elsevier BV

Journal
Applied Mathematics and Computation

DOI
10.1016/j.amc.2014.10.049

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