69 citations · 153 across the 5 of their papers we have counts for
4 papers · 1 filter
Nonequilibrium entropy limiters in lattice Boltzmann methods
R. A. Brownlee, A. N. Gorban, J. Levesley
We construct a system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM). These limiters erase spurious oscillations without blurring of shocks, and do not…
Stable multispeed lattice Boltzmann methods
R. A. Brownlee, A. N. Gorban, J. Levesley
We demonstrate how to produce a stable multispeed lattice Boltzmann method (LBM) for a wide range of velocity sets, many of which were previously thought to be intrinsically unstab…
Stability and stabilisation of the lattice Boltzmann method: Magic steps and salvation operations
R. A. Brownlee, A. N. Gorban, J. Levesley
We revisit the classical stability versus accuracy dilemma for the lattice Boltzmann methods (LBM). Our goal is a stable method of second-order accuracy for fluid dynamics based on…
Stabilisation of the lattice-Boltzmann method using the Ehrenfests' coarse-graining
R. A. Brownlee, A. N. Gorban, J. Levesley
The lattice-Boltzmann method (LBM) and its variants have emerged as promising, computationally efficient and increasingly popular numerical methods for modelling complex fluid flow…