Geodesic
On stability of a lattice Boltzmann kinetic scheme for simulating
Numerical methods and programming, Tome 12 (2011) no. 1, pp. 194-204.

Voir la notice de l'article provenant de la source Math-Net.Ru

The stability problem is considered for a lattice Boltzmann kinetic scheme for simulating the plane flows of a viscous fluid. Stability is studied for two steady modes of flow in an unbounded domain. The stability analysis is performed with respect to initial data using the Neumann method in a linear approximation. A number of stability domains are constructed and studied in the input parameter space. It is shown that the scheme under consideration is conditionally stable.
Keywords: kinetic schemes; lattice Boltzmann method; stability with respect to initial data; Neumann method; stability domain. 
@article{VMP_2011_12_1_a23,
     author = {G. V. Krivovichev},
     title = {On stability of a lattice {Boltzmann} kinetic scheme for simulating},
     journal = {Numerical methods and programming},
     pages = {194--204},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a23/}
}
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G. V. Krivovichev. On stability of a lattice Boltzmann kinetic scheme for simulating. Numerical methods and programming, Tome 12 (2011) no. 1, pp. 194-204. http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a23/