Stability of lattice Boltzmann methods

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

OSTI ID:10130217

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

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: USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 10130217
• Report Number(s): UCRL-JC-108179; CONF-9109257-2; ON: DE92009124
• Resource Relation: Conference: 4. international symposium on computational fluid dynamics,Davis, CA (United States),9-12 Sep 1991; Other Information: PBD: Aug 1991
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
NAVIER-STOKES EQUATIONS
CHAPMAN-ENSKOG THEORY
NUMERICAL SOLUTION
CONVERGENCE
STABILITY
FLUID MECHANICS
SERIES EXPANSION
665000
990200
PHYSICS OF CONDENSED MATTER
MATHEMATICS AND COMPUTERS