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Units of Measurement in a Lattice Gas Model

When measurements are made from a lattice gas simulation it must be in terms of standard units which are fundamental to the lattice gas model. The basic unit of time is one time-step, the basic unit of length is a lattice unit (lu) which is the distance between two neighbouring sites on the grid. The basic unit of mass is the mass of a particle which is taken to be unity. Other quantities, such as velocity, are measured in units derived from these basic units, velocity being measured in lattice units per time-step. The Reynolds number, which is a dimensionless quantity, can be calculated from equation (3.41) and the simulation compared to a flow in the real world with the same Reynolds number.

As stated above the basic length scale is the lattice unit (lu), the distance between two neighbouring sites. It is sometimes convenient when describing the grid to refer to the number of sites in each direction. Thus a 512 by 512 grid is a grid with 512 sites in each direction, the grid is 512 by 443 lu since the separation between rows of sites is tex2html_wrap_inline13639 lu.



James Buick
Tue Mar 17 17:29:36 GMT 1998