Stable multispeed lattice Boltzmann methods

Details Stable multispeed lattice Boltzmann methods Stable multispeed lattice Boltzmann methods

2006-11-23

arxiv.org/abs/cond-mat/0611616v3

Physics

Condensed Matter

Statistical Mechanics

Disclaimer about the area of applicability is added to abstract

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Stable multispeed lattice Boltzmann methods does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stable multispeed lattice Boltzmann methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable multispeed lattice Boltzmann methods will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-700289