Lattice Boltzmann model for compressible fluids

Journal Article · Sat Aug 15 00:00:00 EDT 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.46.1967· OSTI ID:7016801

Alexander, F J; Chen, H; Chen, S; Doolen, G D ^[1]

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1. 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), Journal Name: Physical Review A. General Physics; (United States) Vol. 46:4; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
BOLTZMANN EQUATION
COLLISION INTEGRALS
COMPRESSIBLE FLOW
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
EQUATIONS
FLUID FLOW
FUNCTIONS
INTEGRALS
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
STOCHASTIC PROCESSES
VISCOSITY