Leicester Research Archive >
College of Science and Engineering >
Mathematics, Department of >
Reports, Dept. of Mathematics >
Please use this identifier to cite or link to this item:
|Title: ||Stable multispeed lattice Boltzmann methods|
|Authors: ||Brownlee, R.A.|
Gorban, Alexander N.
|Issue Date: ||2006|
|Publisher: ||Dept. of Mathematics, University of Leicester|
|Abstract: ||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.|
|Series/Report no.: ||MA 06-026|
|Appears in Collections:||Reports, Dept. of Mathematics|
Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.