Theory of the Lattice Boltzmann Equation: Symmetry properties of Discrete Velocity Sets (Paperback) (ISBN-13: 9781289282493)

In the lattice Boltzmann equation, continuous particle velocity space is replaced by a finite dimensional discrete set. The number of linearly independent velocity moments in a lattice Boltzmann model cannot exceed the number of discrete velocities. Thus, finite dimensionality introduces linear dependencies among the moments that do not exist in the exact continuous theory. Given a discrete velocity set, it is important to know to exactly what order moments are free of these dependencies. Elementary group theory is applied to the solution of this problem. It is found that by decomposing the velocity set into subsets that transform among themselves under an appropriate symmetry group, it becomes relatively straightforward to assess the behavior of moments in the theory. The construction of some standard two- and three-dimensional models is reviewed from this viewpoint, and procedures for constructing some new higher dimensional models are suggested.

Author: Nasa Technical Reports Server (Ntrs)
ISBN-10: 1289282498
ISBN-13: 9781289282493
Publisher: Bibliogov
Language: English
Published: 08/06/2013
Pages: 30
Format: Paperback
Weight: 0.16lbs
Size: 9.69h x 7.44w x 0.06d