Stable multispeed lattice Boltzmann methods
| dc.creator | Brownlee, R. A. | |
| dc.creator | Gorban, A. N. | |
| dc.creator | Levesley, J. | |
| dc.date | 2006-11-23 | |
| dc.date | 2006-12-07 | |
| dc.date.accessioned | 2026-07-07T07:31:28Z | |
| dc.date.available | 2026-07-07T07:31:28Z | |
| dc.description | 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 unstable. We use non-Gauss--Hermitian cubatures. The method operates stably for almost zero viscosity, has second-order accuracy, suppresses typical spurious oscillation (only a modest Gibbs effect is present) and introduces no artificial viscosity. There is almost no computational cost for this innovation. DISCLAIMER: Additional tests and wide discussion of this preprint show that the claimed property of coupled steps: no artificial dissipation and the second-order accuracy of the method are valid only on sufficiently fine grids. For coarse grids the higher-order terms destroy coupling of steps and additional dissipation appears. The equations are true. | |
| dc.description | Disclaimer about the area of applicability is added to abstract | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0611616 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0611616 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118762 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Stable multispeed lattice Boltzmann methods | |
| dc.type | text |