1308 Study of a finite difference lattice Boltzmann model considering large density difference

2004 ◽  
Vol 2004.79 (0) ◽  
pp. _13-15_-_13-16_
Author(s):  
Michihisa Tsutahara ◽  
Kazuhiko Ogawa ◽  
Masahiko Sakamoto ◽  
Hiroki Yokoyama ◽  
Masakazu Tajima ◽  
...  
Keyword(s):  
Finite Difference ◽  
Lattice Boltzmann ◽  
Density Difference ◽  
Lattice Boltzmann Model ◽  
Large Density ◽  
Boltzmann Model

DIFFUSIVITY OF TWO-COMPONENT ISOTHERMAL FINITE DIFFERENCE LATTICE BOLTZMANN MODELS

2005 ◽  
Vol 16 (07) ◽  
pp. 1075-1090 ◽  
Author(s):  
VICTOR SOFONEA ◽  
ROBERT F. SEKERKA
Keyword(s):  
Finite Difference ◽  
Lattice Boltzmann ◽  
Lattice Spacing ◽  
Evolution Equations ◽  
Unit Length ◽  
Distribution Functions ◽  
Lattice Boltzmann Model ◽  
Flux Limiter ◽  
Lattice Boltzmann Models ◽  
Boltzmann Model

Diffusion equations are derived for an isothermal lattice Boltzmann model with two components. The first-order upwind finite difference scheme is used to solve the evolution equations for the distribution functions. When using this scheme, the numerical diffusivity, which is a spurious diffusivity in addition to the physical diffusivity, is proportional to the lattice spacing and significantly exceeds the physical value of the diffusivity if the number of lattice nodes per unit length is too small. Flux limiter schemes are introduced to overcome this problem. Empirical analysis of the results of flux limiter schemes shows that the numerical diffusivity is very small and depends quadratically on the lattice spacing.

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