Error analysis for the interpolation-supplemented lattice-Boltzmann equation scheme

被引：19
|
作者：
He, XY
机构：
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 1997年 / 8卷 / 04期
关键词：
lattice-Boltzmann equation; non-uniform grid; numerical error;
D O I：
10.1142/S012918319700062X
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The numerical error of the interpolation-supplemented lattice-Boltzmann equation (ISLBE) scheme is theoretically analyzed. The ISLBE is proved to recover the Navier-Stokes equation as long as a second order interpolation scheme is used and the dow domain is appropriately discretized. Using a linear interpolation scheme will inevitably generate the numerical diffusivity and viscosity, making the ISLBE scheme unable to simulate the Navier-Stokes equation correctly. The analysis is consistent with previous numerical experiments.
引用
收藏
页码：737 / 745
页数：9
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