Initialization of lattice Boltzmann models with the help of the numerical Chapman-Enskog expansion
Ynte Vanderhoydonc,Wim Vanroose +1 more
- Vol. 18, pp 1036-1045
TLDR
The applicability of the numerical Chapman–Enskog expansion as a lifting operator for lattice Boltzmann models to map density and momentum to distribution functions is extended.Abstract:
We extend the applicability of the numerical Chapman–Enskog expansion as a lifting operator for lattice Boltzmann models to map density and momentum to distribution functions In earlier work [Vanderhoydonc et al Multiscale Model Simul 10(3): 766-791, 2012] such an expansion was constructed in the context of lifting only the zeroth order velocity moment, namely the density A lifting operator is necessary to convert information from the macroscopic to the mesoscopic scale This operator is used for the initialization of lattice Boltzmann models Given only density and momentum, the goal is to initialize the distribution functions of lattice Boltzmann models For this initialization, the numerical Chapman–Enskog expansion is used in this paperread more
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References
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The Lattice Boltzmann Equation for Fluid Dynamics and Beyond by Sauro Succi (Clarendon Press, Oxford, 2001) ISBN 0 19 850398 9
Journal ArticleDOI
Lattice-Boltzmann Method for Complex Flows
TL;DR: This work reviews many significant developments over the past decade of the lattice-Boltzmann method and discusses higherorder boundary conditions and the simulation of microchannel flow with finite Knudsen number.
BookDOI
Lattice-Gas Cellular Automata and Lattice Boltzmann Models
TL;DR: In this paper, the authors provide an introduction to lattice gas cellular automata (LGCA) and lattice Boltzmann models (LBM) for numerical solution of nonlinear partial differential equations.
Journal ArticleDOI
The Mathematical Theory of Non-Uniform Gases
TL;DR: Chapman and Cowling as mentioned in this paper showed that the ultimate scope of the descendent of the kinetic theory of gases must be the whole field of the properties of matter in bulk, derived from the atomic constitution of matter and from properties of atoms and their interactions.