A new differential Lattice Boltzmann equation and its application to simulate incompressible flows on non-uniform grids

被引：20

作者：

Chew, YT ^{[1
]}

Shu, C ^{[1
]}

Niu, XD ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Mech Engn, Singapore 119260, Singapore

来源：

JOURNAL OF STATISTICAL PHYSICS | 2002年 / 107卷 / 1-2期

关键词：

Taylor series expansion; lattice Boltzmann equation; differential equation; incompressible flow;

D O I：

10.1023/A:1014579125174

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new differential lattice Boltzmann equation (LBE) is presented in this work, which is derived from the standard LBE by using Taylor series expansion only in spatial direction with truncation to the second-order derivatives. The obtained differential equation is not a wave-like equation. When a uniform grid is used, the new differential LBE can be exactly reduced to the standard LBE. The new differential LBE can be applied to solve irregular problems with the help of coordinate transformation. The present scheme inherits the merits of the standard LBE, The 2-D driven cavity flow is chosen as a test case to validate the present method. Favorable results are obtained and indicate that the present scheme has good prospects in practical applications.

引用

页码：329 / 342

页数：14

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