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Lattice Boltzmann simulations on irregular grids

Introduction of the NATriuM library
: Krämer, Andreas; Wilde, Dominik; Küllmer, Knut; Reith, Dirk; Foysi, Holger; Joppich, Wolfgang


Computers and mathematics with applications 79 (2020), Nr.1, S.34-54
ISSN: 0097-4943
ISSN: 0898-1221
Fraunhofer SCAI ()

The lattice Boltzmann method is a modern approach to simulate fluid flow. In its original formulation, it is restricted to regular grids, second-order discretizations, and a unity CFL number. This paper describes our new off-lattice Boltzmann solver NATriuM, an extensible and parallel C++ code to perform lattice Boltzmann simulations on irregular grids. NATriuM also allows high-order spatial discretizations and non-unity CFL numbers to be used. We demonstrate how these features can efficiently decrease the number of grid points required in a simulation and thus reduce the computational time, compared to the standard lattice Boltzmann method. We detail the implementation of a recently proposed semi-Lagrangian lattice Boltzmann method and prove its efficiency in comparisons to other state-of-the-art off-lattice Boltzmann schemes.