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

共 50 条

[21] Numerical computation of discrete differential operators on non-uniform grids
Sukumar, N
Bolander, JE
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2003, 4 (06): : 691 - 705
[22] The lattice Boltzmann equation for modelling arterial flows: Review and application
Buick, JM
Cosgrove, JA
Tonge, SJ
Collins, MW
Gomatam, J
Mulholland, AJ
Steves, BA
BIOMEDICINE & PHARMACOTHERAPY, 2002, 56 (07) : 345 - 346
[23] Introducing unsteady non-uniform source terms into the lattice Boltzmann model
Cheng, Yongguang
Li, Jinping
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2008, 56 (06) : 629 - 641
[24] A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes
Patel, Saumil
Lee, Taehun
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 327 : 799 - 809
[25] Application of the Lattice Boltzmann Method to Steady Incompressible Laminar High Re Flows
Benim, A. C.
Aslan, E.
Taymaz, I.
FMA '09: PROCEEDINGS OF THE 7TH IASME / WSEAS INTERNATIONAL CONFERENCE ON FLUID MECHANICS AND AERODYNAMICS, 2009, : 220 - +
[26] A 3D incompressible thermal lattice Boltzmann model and its application to simulate natural convection in a cubic cavity
Peng, Y
Shu, C
Chew, YT
JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 193 (01) : 260 - 274
[27] A Novel Discrete Velocity Method for Solving the Boltzmann Equation Including Internal Energy and Non-Uniform Grids in Velocity Space
Clarke, P.
Varghese, P.
Goldstein, D.
Morris, A.
Bauman, P.
Hegermiller, D.
28TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS 2012, VOLS. 1 AND 2, 2012, 1501 : 373 - 380
[28] Solving Schrodinger Equation with Non-Uniform Grids by Scale Transformation Method
马玉涛
刘理天
李志坚
半导体学报, 2000, (09) : 853 - 856
[29] An immersed boundary lattice Boltzmann approach to simulate deformable liquid capsules and its application to microscopic blood flows
Zhang, Junfeng
Johnson, Paul C.
Popel, Aleksander S.
PHYSICAL BIOLOGY, 2007, 4 (04) : 285 - 295
[30] Solving schrodinger equation with non-uniform grids by scale transformation method
Ma, Yutao
Liu, Litian
Li, Zhijian
Pan Tao Ti Hsueh Pao/Chinese Journal of Semiconductors, 2000, 21 (09): : 853 - 856

← 1 2 3 4 5 →