49 citations · 49 across the 2 of their papers we have counts for
3 papers
cond-mat.stat-mech2007★ 49 cited
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…
cond-mat.stat-mech2006
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…
math.NT2004
A quantitative Khintchine-Groshev type theorem over a field of formal series
M. M. Dodson, S. Kristensen, J. Levesley
An asymptotic formula which holds almost everywhere is obtained for the number of solutions to the Diophantine inequalities |qA-p|<ψ(|q|), where A is an n by m matrix (m>1) over th…