Lattice Boltzmann Model for Free Surface Flow for Modeling Foaming
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We present a 2D- and 3D-lattice Boltzmann model for the treatment of free surface flows including gas diffusion. Interface advection and related boundary conditions are based on the idea of the lattice Boltzmann equation. The fluid dynamic boundary conditions are approximated by using the mass and momentum fluxes across the interface, which do not require explicit calculation of gradients. A similar procedure is applied to fulfill the diffusion boundary condition. Simple verification tests demonstrate the correctness of the algorithms. 2D- and 3D-foam evolution examples demonstrate the potential of the method.
KeywordsLattice Boltzmann method free surface flow advection diffusion boundary conditions foam
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- C. Körner, Thies M., Arnold M., and Singer R.F., The physics of foaming: structure formation and stability, in Handbook of Cellular Metals, H. P. Degischer and Kriszt B., eds. (Wiley-VCH, 2002), pp. 33–42Google Scholar
- Körner, C., Thies, M., Singer, R.F. 2002Modeling of metal foaming with lattice Boltzmann automataAdv. Eng. Mater.4765769Google Scholar
- Körner, C., Hirschmann, M., Lamm, M., Singer, R.F., et al. 2003Magnesium integral foamsBanhart, J. eds. Cellular Metals. Manufacture, Properties, ApplicationsVerlag MIT PublishingBerlin209214Google Scholar
- Bhatnagar, P., Gross, E., Krook, M. 1954A model for collision process in gases I: small amplitude processes in charged and neutral one-component systemPhys. Rev. E50511525Google Scholar
- Wolf-Gladow, D. 1995A Lattice Boltzmann equation for diffusionJ. Stat. Phys.7910231032Google Scholar
- Lorensen, W., Cline, H. 1987Marching cubes: A high resolution 3D surface reconstruction algorithmComput. Graph.21163169Google Scholar
- Thies M., Lattice Boltzmann modeling with free surfaces applied to in-situ gas generated foam formation, PhD-Thesis, University of Erlangen-Nörnberg (2005)Google Scholar
- Landau, L.D., Lifschitz, E.M. 1974HydrodynamikAkademie-VerlagBerlinGoogle Scholar
- Körner, C., Thies, M., Arnold, M., Singer, R.F., et al. 2001Modeling of metal foaming by in-situ gas formationBanhart, J. eds. Cellular Metals. Manufacture, Properties, ApplicationsVerlag MIT PublishingBremen9398Google Scholar