106 citations · 409 across the 35 of their papers we have counts for
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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…