Stability analysis of the lattice Boltzmann schemes with body force action

Stability analysis of lattice Boltzmann equations for the case of body force action is realized. The analysis is performed by von Neumann method and is based on the linearized equations. The stability is estimated by the values of the areas of the stability domains in parametric space. As the results of the analysis, the recommendation on the use of the models in practical simulations may be performed. The proposed approach to the analysis may be extended to the investigation of the other cases of body force actions, especially in the cases of multiphase and multicomponent flows.