Krämer, AndreasAndreasKrämerKüllmer, KnutKnutKüllmerReith, DirkDirkReithJoppich, WolfgangWolfgangJoppichFoysi, HolgerHolgerFoysi2022-03-052022-03-052017https://publica.fraunhofer.de/handle/publica/24734410.1103/PhysRevE.95.023305The lattice Boltzmann method is a simulation technique in computational fluid dynamics. In its standard formulation, it is restricted to regular computation grids, second-order spatial accuracy, and a unity Courant-Friedrichs-Lewy (CFL) number. This paper advances the standard lattice Boltzmann method by introducing a semi-Lagrangian streaming step. The proposed method allows significantly larger time steps, unstructured grids, and higher-order accurate representations of the solution to be used. The appealing properties of the approach are demonstrated in simulations of a two-dimensional Taylor-Green vortex, doubly periodic shear layers, and a three-dimensional Taylor-Green vortex.en530journal article