Diffusivity of two-component isothermal finite difference lattice Boltzmann models

被引：17

作者：

Sofonea, V ^{[1
]}

Sekerka, RF

机构：

[1] Carnegie Mellon Univ, Dept Phys, Pittsburgh, PA 15213 USA

[2] Romanian Acad, Ctr Fundamental & Adv Tech Res, Lab Numer Simulat & Parallel Comp Fluid Mech, Timisoara 300223, Romania

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2005年 / 16卷 / 07期

关键词：

lattice Boltzmann; diffusivity; finite difference schemes; flux limiters;

D O I：

10.1142/S0129183105007741

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

收藏

页码：1075 / 1090

页数：16

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