Article history: Received 1 February 2012 Received in revised form 28 January 2013 Accepted 9 May 2013 Available online 24 May 2013

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Article history: Received 23 January 2008 Received in revised form 2 September 2008 Accepted 2 September 2008 Available online 12 September 2008

Based on the lattice Boltzmann method (LBM), the lattice Boltzmann flux solver (LBFS), which combines the advantages of conventional Navier–Stokes solvers and lattice Boltzmann solvers, was proposed recently. Specifically, LBFS applies the finite volume method to solve the macroscopic governing equations which provide solutions for macroscopic flow variables at cell centers. In the meantime, nu...

The lattice Boltzmann method (LBM) has established itself as a valid numerical method in computational fluid dynamics. Recently, multiple-relaxation-time LBM has been proposed to simulate anisotropic advection-diffusion processes. The governing differential equations of advective-diffusive systems are known to satisfy maximum principles, comparison principles, the non-negative constraint, and t...

In recent years the lattice Boltzmann method has achieved the reputation as a true alternative to the classical Navier-Stokes approach to simulate fluid behavior. Due to this development and the multitude of different Lattice Boltzmann solvers developed at our chair for different problems, the desire for a single Lattice Boltzmann implementation grew. This paper introduces the waLBerla project,...