Rozwiązanie pozwalające na uwzględnienie lokalnych zmian lepkości w odmianie metody siatkowej Boltzmanna opartej na pojedynczym czasie relaksacji (Single Relaxation Time Model)

Abstract

The aim of this work is to develop a numerical model, based on the lattice Boltzmann method, which allows for stable stimulation of incompressible fluid flows, including local changes in kinematic viscosity. The authors' interest lies in processes which take place during mould filling. In this publication, general information on the lattice Boltzmann method for two-dimensional single-phase flows were presented. A solution, based on the so called Fractional Step algorithm, which allows for defining kinematic viscosity in each mesh cell individually, was shown. The authors also described in detail a validation procedure for a presented model with the use of commercial simulation environment COMSOL Multiphysics. The results confirmed the correctness of the proposed solution. The presented method can be successfully used for the effective numerical modeling of liquid metal flows inside a casting mould.