"On stability of a lattice Boltzmann kinetic scheme for simulating
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
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