66 citations · 97 across the 9 of their papers we have counts for
5 papers · 1 filter
Binary mixture flow with free energy lattice Boltzmann methods
Stephan Simonis, Johannes Nguyen, Samuel J. Avis +2
We use free energy lattice Boltzmann methods (FRE LBM) to simulate shear and extensional flow of a binary mixture in two and three dimensions. To this end, two classical configurat…
Constructing relaxation systems for lattice Boltzmann methods
Stephan Simonis, Martin Frank, Mathias J. Krause
We present the first top-down ansatz for constructing lattice Boltzmann methods (LBM) in d dimensions. In particular, we construct a relaxation system (RS) for a given scalar, line…
Consistent lattice Boltzmann methods for the volume averaged Navier-Stokes equations
Fedor Bukreev, Stephan Simonis, Adrian Kummerländer +2
We derive a novel lattice Boltzmann scheme, which uses a pressure correction forcing term for approximating the volume averaged Navier-Stokes equations (VANSE) in up to three dimen…
Limit Consistency of Lattice Boltzmann Equations
Stephan Simonis, Mathias J. Krause
We establish the notion of limit consistency as a modular part in proving the consistency of lattice Boltzmann equations (LBEs) with respect to a given partial differential equatio…
On the accuracy and performance of the lattice Boltzmann method with 64-bit, 32-bit and novel 16-bit number formats
Moritz Lehmann, Mathias J. Krause, Giorgio Amati +3
Fluid dynamics simulations with the lattice Boltzmann method (LBM) are very memory-intensive. Alongside reduction in memory footprint, significant performance benefits can be achie…