By Daniel H. Rothman
The textual content is a self-contained, finished advent to the idea of hydrodynamic lattice gases. Lattice-gas mobile automata are discrete types of fluids. exact debris hop from web site to web site on a customary lattice, obeying basic conservative scattering ideas after they collide. Remarkably, at a scale greater than the lattice spacing, those discrete types simulate the Navier-Stokes equations of fluid mechanics. This ebook addresses 3 vital facets of lattice gases. First, it exhibits how such uncomplicated idealised microscopic dynamics supply upward push to isotropic macroscopic hydrodynamics. moment, it info how the simplicity of the lattice fuel presents for both basic versions of fluid part separation, hydrodynamic interfaces, and multiphase stream. finally, it illustrates how lattice-gas versions and comparable lattice-Boltzmann tools were used to resolve difficulties in purposes as different as move via porous media, section separation, and interface dynamics. Many workouts and references are incorporated.
Read or Download Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics (Collection Alea-Saclay: Monographs and Texts in Statistical Physics) PDF
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