Geodesic
On stability of a lattice Boltzmann kinetic scheme for simulating
Numerical methods and programming, Tome 12 (2011) no. 1, pp. 194-204 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {2011},
     volume = {12},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a23/}
}
TY  - JOUR
AU  - G. V. Krivovichev
TI  - On stability of a lattice Boltzmann kinetic scheme for simulating
JO  - Numerical methods and programming
PY  - 2011
SP  - 194
EP  - 204
VL  - 12
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a23/
LA  - ru
ID  - VMP_2011_12_1_a23
ER  - 
%0 Journal Article
%A G. V. Krivovichev
%T On stability of a lattice Boltzmann kinetic scheme for simulating
%J Numerical methods and programming
%D 2011
%P 194-204
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a23/
%G ru
%F VMP_2011_12_1_a23
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/