"On stability of a lattice Boltzmann kinetic scheme for simulating plane flows"
Krivovichev G.V.

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

Krivovichev G.V.   e-mail: gera1983k@bk.ru