Stability of lattice Boltzmann methods

Conference · Thu Aug 01 04:00:00 EDT 1991

OSTI ID:5809967

Elton, B ^[1]; Levermore, C D ^[2]; Rodrigue, G ^[3]

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1. Fujitsu America, San Jose, CA (United States). Computational Research Div.
2. Arizona Univ., Tucson, AZ (United States). Dept. of Mathematics
3. California Univ., Davis, CA (United States). Dept. of Applied Science Lawrence Livermore National Lab., CA (United States)

In this paper, a stability condition is established that will guarantee the convergence of the solution of a partial differential equation to the solution of a lattice Boltzmann method. The partial differential equation is determined by consistency conditions on a Chapman-Enskog/Hilbert asymptotic expansion.

• Research Organization: Lawrence Livermore National Lab., CA (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5809967
• Report Number(s): UCRL-JC-108179; CONF-9109257--2; ON: DE92009124
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CHAPMAN-ENSKOG THEORY
CONVERGENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID MECHANICS
MECHANICS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SERIES EXPANSION
STABILITY