Abstract
With some basis now in statistical mechanics, we turn to fluid mechanics. We want a representation of a fluid’s flow compatible with our Monte Carlo tools. We will develop these along two lines of thought. Our first is to represent the vorticity field of a fluid flow as a collection of point particles. This is the vortex gas model, a dynamical system we can treat just as we do any ordinary problem of mechanics. In the next chapter we will create the lattice gas model, a system based on approximating the vorticity field with a function continuous almost everywhere.
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© 2007 Springer Science+Business Media, LLC
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(2007). Discrete Models in Fluids. In: Lim, C., Nebus, J. (eds) Vorticity, Statistical Mechanics, and Monte Carlo Simulation. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-49431-9_6
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DOI: https://doi.org/10.1007/978-0-387-49431-9_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-35075-2
Online ISBN: 978-0-387-49431-9
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