Abstract
A matrix formulation of the steady Lattice Boltzmann equation is presented. It is shown that the strict steady-state formulation, combined with preconditioned iterative solvers, leads to significant computational savings as compared to the standard explicit LBE scheme.
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Benzi, R., Succi, S., and Vergassola, M. (1992). Physics Reports 222, 3.Chen, S., and Doolen, G.(1998). Ann.Rev.Fluid Mech. 30, 329.
Succi, S. (July 2001). The Lattice Boltzmann Equation, Oxford University Press, Series in Num.Math.and Scient.Comput., June 2001.
Qian, Y. H., d'Humieres, D., and Lallemand, P. (1992). Europhys.Lett. 17(6), 479.
Morton, K. (1987). Basic Course in FEM, Special issue on Finite Elements in Physics, Comp.Phys.Rep. 6(1–6), 1-72.
Greenbaum, A. (1997). Iterative Methods for Solving Linear Systems, SIAM, Philadelphia.
Skalicky, T. LASPACK Reference Manual, Version 1.12.2, http://www.tu-dresden.de/ mwism/skalicky-/laspack/laspack.html
Toelke, J., Krafczyk, M., Schulz, M., Rank, E., and Berrios, R. (1999). Int.J.Mod Phys.C 9(8), 1143.
Verberg, R., and Ladd, A. (1999). Phys.Rev.E 60(3), 3366.
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Bernaschi, M., Succi, S. & Chen, H. Accelerated Lattice Boltzmann Schemes for Steady-State Flow Simulations. Journal of Scientific Computing 16, 135–144 (2001). https://doi.org/10.1023/A:1012230722915
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DOI: https://doi.org/10.1023/A:1012230722915