Numerical Stability Analysis of Lattice Boltzmann Equations for Linear Diffusion

Authors

Gerasim V. Krivovichev, Faculty of Applied Mathematics and Processes of Control, Saint-Petersburg State University, Universitetskii prospekt, 35, 198504, Peterhof, Saint-Petersburg, Russian FederationFollow

Author Country (or Countries)

Russian Federation

Abstract

The lattice Boltzmann equations for the linear diffusion modeling in cases of D2Q5, D2Q7 and D2Q9 lattices are considered. Families of the numerical schemes with the dependence on scalar parameter are introduced. The stability analysis of schemes is performed in parameter space. The stability is studied numerically by von Neumann method. Optimal parameter values for the presented families are defined.

Recommended Citation

V. Krivovichev, Gerasim (2015) "Numerical Stability Analysis of Lattice Boltzmann Equations for Linear Diffusion," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 4.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/4