Discrete fluids using lattice gas methods
Computing the fluid motion of air flowing over the vehicle, or circulating inside the engine compartment is a difficult task. The flow domain must first be subdivided into a system of grids, whose construction is extremely laborious and time consuming. Conventional computational fluid dynamics (CFD) methods then solve a nonlinear set of partial differential equations on this grid known as the Navier-Stokes equations, which are plagued by numerical instabilities arising from round-off errors and equation properties. Various sophisticated numerical techniques are employed in an attempt to achieve a stable solution that reasonably matches experiments, but very often success or failure depends on the skill of highly trained CFD practitioners and the complexity of the physical problem.
KeywordsComputational Fluid Dynamic Digital Physic Float Point Operation Hypercubic Lattice Collision Rule
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- A. Friedman, Mathematics in Industrial Problems, Part 6,IMA Volume 83, Springer-Verlag, New York (1996).Google Scholar
- J. Hardy, O. de Pazzis and Y. Pomeau, Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions, Physical Reviews, A13 (1976), 1949–1961.Google Scholar
- B. Hasslacher,Discrete fluids, Los Alamos Science (1987), 175–217.Google Scholar
- G.S. Strumolo, Discrete fluids using lattice gas methods, Research Report SR-96–067 (1996).Google Scholar
- Lattice Gas Methods for Partial Differential Equations, G.D. Doolen, editor, Addison-Wesley, Reading, Massachusetts (1990).Google Scholar