Lattice Boltzmann model for compressible fluids
Journal Article
·
· Physical Review A. General Physics; (United States)
- Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
We formulate a lattice Boltzmann model which simulates compressible fluids. By choosing the parameters of the equilibrium distribution appropriately, we are able to select the sound speed (which may be set arbitrarily low), bulk viscosity, and kinematic viscosity. This model simulates compressible flows and can include shocks. With a proper rescaling and zero-sound speed, this model simulates Burgers's equation. The viscosity determined by a Chapman-Enskog expansion compares well with that measured from simulations. We also compare the exact solutions of Burgers's equation on the unit circle to solutions of our lattice Boltzmann model, again finding reasonable agreement.
- OSTI ID:
- 7016801
- Journal Information:
- Physical Review A. General Physics; (United States), Vol. 46:4; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
Similar Records
A numerical theory of lattice gas and lattice Boltzmann methods in the computation of solutions to nonlinear advective-diffusive systems
Modified Lattice Boltzmann method for compressible fluid simulations
A hydrodynamically correct thermal lattice Boltzmann model
Technical Report
·
Mon Sep 24 00:00:00 EDT 1990
·
OSTI ID:7016801
Modified Lattice Boltzmann method for compressible fluid simulations
Journal Article
·
Fri Jun 01 00:00:00 EDT 2001
· Physical Review E
·
OSTI ID:7016801
+2 more
A hydrodynamically correct thermal lattice Boltzmann model
Journal Article
·
Sun Jun 01 00:00:00 EDT 1997
· Journal of Statistical Physics
·
OSTI ID:7016801
Related Subjects
42 ENGINEERING
FLUID FLOW
COMPRESSIBLE FLOW
BOLTZMANN EQUATION
COLLISION INTEGRALS
COMPUTERIZED SIMULATION
DISTRIBUTION FUNCTIONS
STOCHASTIC PROCESSES
VISCOSITY
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INTEGRALS
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
420400* - Engineering- Heat Transfer & Fluid Flow
FLUID FLOW
COMPRESSIBLE FLOW
BOLTZMANN EQUATION
COLLISION INTEGRALS
COMPUTERIZED SIMULATION
DISTRIBUTION FUNCTIONS
STOCHASTIC PROCESSES
VISCOSITY
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INTEGRALS
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
420400* - Engineering- Heat Transfer & Fluid Flow