106 citations · 409 across the 35 of their papers we have counts for
4 papers · 1 filter
Enhancing SPH using moving least-squares and radial basis functions
R. A. Brownlee, P. Houston, J. Levesley +1
In this paper we consider two sources of enhancement for the meshfree Lagrangian particle method smoothed particle hydrodynamics (SPH) by improving the accuracy of the particle app…
Stable simulation of fluid flow with high-Reynolds number using Ehrenfests' steps
R. A. Brownlee, A. N. Gorban, J. Levesley
The Navier--Stokes equations arise naturally as a result of Ehrenfests' coarse-graining in phase space after a period of free-flight dynamics. This point of view allows for a very…
Extending the range of error estimates for radial approximation in Euclidean space and on spheres
R. A. Brownlee, E. H. Georgoulis, J. Levesley
We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to gi…
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…