A NEW ALGORITHM FOR BLE (BOLTZMANN LATTICE EQUATION) NUMERICS
BibTeX
@MISC{Greenberg_anew,
author = {William Greenberg and Michael Williams},
title = {A NEW ALGORITHM FOR BLE (BOLTZMANN LATTICE EQUATION) NUMERICS},
year = {}
}
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Abstract
Abstract. The nonlinear Boltzmann equation with a discretized spatial vari-able and finite velocity set (Boltzmann Lattice Equation or BLE) has become a standard tool for numerical studies of particle transport, with applications as diverse as vehicle traffic modeling and E. coli dispersal in humans. The derivation of the Boltzmann equation hinges on diluteness and point particle assumptions. The nonlinear Enskog equation was formulated to take into ac-count nonzero molecular diameters and more dense regimes. We propose here a discretization of the Enskog equation which maintains the non-point particle modeling. This ELE scheme should be an improvement for the discrete mod-eling of medium and large diameter molecules. Open problems related to ELE are presented. 1.
Keyphrases
boltzmann lattice equation new algorithm ble discrete mod-eling boltzmann equation hinge particle transport point particle assumption dense regime coli dispersal vehicle traffic modeling nonlinear boltzmann equation numerical study ac-count nonzero molecular diameter standard tool ele scheme enskog equation finite velocity non-point particle modeling large diameter molecule nonlinear enskog equation
