Abstract
We discuss the basic theory of the Lattice Boltzmann Equation (LBE) and present some applications to two and three-dimensional hydrodynamics. In particular, we report on the study of the flow in a plane channel containing a periodic array of identical plates promoting flow instabilities at Reynolds numbers well below the critical value for the classical Poiseuille flow. With concern to three-dimensional applications, we present some preliminary studies aimed to assess the parameter range in which the LBE can be used to investigate low-Reynolds flows in porous media. The ultimate goal of this project is to compute the permeability of a three-dimensional medium taking into account its microgeometrical configuration. Performance data pertaining to the implementation on a six-way IBM 3090 vector multiprocessor are also offered.
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© 1989 Springer-Verlag Berlin Heidelberg
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Succi, S., Benzi, R., Foti, E., Higuera, F., Szelényi, F. (1989). Lattice Boltzmann Computing on the IBM 3090 Vector Multiprocessor. In: Manneville, P., Boccara, N., Vichniac, G.Y., Bidaux, R. (eds) Cellular Automata and Modeling of Complex Physical Systems. Springer Proceedings in Physics, vol 46. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75259-9_16
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DOI: https://doi.org/10.1007/978-3-642-75259-9_16
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