A METHOD FOR TAKING INTO ACCOUNT LOCAL VISCOSITY CHANGES IN SINGLE RELAXATION TIME THE LATTICE BOLTZMANN MODEL

Authors

  • Michał Szucki AGH University of Science and Technology, Faculty of Foundry Engineering, Kraków, Poland
  • Józef S. Suchy AGH University of Science and Technology, Faculty of Foundry Engineering, Kraków, Poland

DOI:

https://doi.org/10.7494/mafe.2012.38.1.33

Keywords:

lattice Boltzmann method, local viscosity changes kinematic viscosity, temperature, lid driven cavity

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.

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References

Piwowarski G, Krajewski W.K., Lelito J.: Optimization of casting technology of the pressure die cast AZ91D Mg-based alloy, MaFE Metallurgy and Foundry Engineering, 36 (2) (2010), 105-111

Żak P., Lelito J., Krajewski W.K., Suchy J.S., Gracz B., Szucki M. Model of dendrite growth in metallic alloys, MaFE Metallurgy and Foundry Engineering, 36 (2) (2010), 131-136

Ginzburg I., Steiner K.: Lattice Boltzmann model for free-surface flow and its application to filling process in casting, Journal of Computational Physics, 185 (2003), 61-99

Szucki M., Suchy J.S., Żak P., Lelito J., Gracz B:. Extended free surface flow model based on the lattice boltzmann approach, MaFE Metallurgy and Foundry Engineering, 36 (2) (2010), 113-121

Kowalewski T.A., Cybulski A., Michalek T., KowalczykM. Laboratory benchmarks for validating numerical simulation of casting problems, Institute of Fundamental Technological Research Polish Academy of Science (2005)

Szucki M., Suchy J.S., Żak P., Lelito J., Gracz B:. Numerical model based on the lattice Boltzmann method for flows with locally variable viscosity, 60th anniversary of the Faculty of Foundry Engineering at AGH University of Science and Technology, conference proceedings (in Polish) (2011)

Chen S., Doolen G.D.: Lattice Boltzmann method for fluid flows, Annual Reviews Fluid Mec, 30 (1998), 329-364

He X. & Luo L:. Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation, Physical Review E, 56 (6) (1997), 6811-6817

Guo Z, Zhao T.S.: Lattice Boltzmann simulation of natural convection with temperature-dependent viscosity in a porous cavity, Progress in Computational Fluid Dynamics, 5 (2005), 110-117

Shu C, Niu X.D., Chew Y.T., Cai Q.D.: A fractional step lattice Boltzmann method for simulating high Reynolds number flows, Mathematics and Computers in Simulation, 72 (2006), 201-205

Hou S., Sterling J., Chen S., Doolen G.D.: A Lattice Boltzmann Subgrid Model for High Reynolds Number Flows, Amer. Mathematical Society, 6 (1994), 151-166

Thurey N., Lglberger K., Rude U. Free Surface Flows with Moving and Deforming Objects for LBM, Vision, Modeling and Visualization 2006, conference proceedings, (2006), 193-200

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Published

2012-06-30

How to Cite

Szucki, M., & Suchy, J. S. (2012). A METHOD FOR TAKING INTO ACCOUNT LOCAL VISCOSITY CHANGES IN SINGLE RELAXATION TIME THE LATTICE BOLTZMANN MODEL. Metallurgy and Foundry Engineering, 38(1), 33. https://doi.org/10.7494/mafe.2012.38.1.33

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Articles