基于格子Boltzmann方法的封闭三角腔自然对流的数值模拟
Numerical Simulation of Thermal Convection in Triangular Enclosure Using Lattice Boltzmann Method
查看参考文献18篇
文摘
|
建立了二维不可压缩D2G9格子Boltzmann模型,耦合二维TD2Q5热格子Boltzmann模型,在非平衡态外推的边界条件下,首先对不同Eckert数(Ec)和Prandtl数(Pr)时Couette流的温度场进行数值模拟,计算结果与解析解吻合良好,且在Ec变化很大的条件下,计算结果仍与解析解相符,验证了模型的准确性和稳定性.然后对封闭三角空腔内不同Rayleigh数(Ra)下的自然对流流场和温度场进行了数值模拟,结果与文献计算值吻合良好,说明格子Boltzmann方法的TD2Q5热模型可用于高Ra时的空腔热流动模拟. |
其他语种文摘
|
The natural convection in triangular enclosures occurs widely in the fields of electronic device cooling, solar energy collector and so on. The two-dimensional impressible lattice Boltzmann model is built in this work for its simulation. On the basis of D2G9 model, coupling with the two-dimensional thermal lattice Boltzmann model TD2Q5 and non-equilibrium extrapolation boundary scheme, the temperature field in Couette flow is simulated. The predicted results of Couette flow agree well with the analytical solution when the Eckert number varies from 5 to 100, which shows that the present thermal model TD2Q5 is accurate and numerically stable. The velocity and temperature fields of natural convection in a triangular enclosure are solved at different Rayleigh number values. The predicted results coincide very well with that reported in the literature, indicating the present numerical models may be extended for thermal flows in triangular enclosures with higher Rayleigh number. |
来源
|
过程工程学报
,2009,9(5):841-847 【核心库】
|
关键词
|
格子Boltzmann方法
;
不可压缩
;
热模型
;
数值模拟
;
空腔流
|
地址
|
中国科学院过程工程研究所, 绿色过程与工程重点实验室, 北京, 100190
|
语种
|
中文 |
文献类型
|
研究性论文 |
ISSN
|
1009-606X |
学科
|
化学工业 |
基金
|
国家自然科学基金
;
国家973计划
;
国家科技支撑计划项目
;
美国Corning公司经费资助项目
|
文献收藏号
|
CSCD:3744504
|
参考文献 共
18
共1页
|
1.
司海青. 边界条件对三维空腔流动振荡的影响.
南京航空航天大学学报,2006,38(5):595-599
|
被引
6
次
|
|
|
|
2.
李世武. 封闭方腔自然对流换热的研究.
工业加热,2007,36(3):10-13
|
被引
11
次
|
|
|
|
3.
Holtzman G A. Laminar Nature Convection in Isosceles Triangular Enclosures Heated from Below and Symmetrically Cooled from Above.
Journal of Heat Transfer,2000,122(3):485-491
|
被引
2
次
|
|
|
|
4.
Du R. The Lattice Boltzmann Method for the Thermalcapillary Flow in a Cavity under Microgravity Condition.
Computers & Mathematics with Applications,2008,55(7):1433-1440
|
被引
3
次
|
|
|
|
5.
Zou Q. An Improved Incompressible Lattice Boltzmann Model for Time-independent Flows.
Journal of Statistical Physics,1995,81(1/2):35-48
|
被引
8
次
|
|
|
|
6.
Chen Y. Lattice-BGK Methods for Simulating Incompressible Fluid Flows.
International Journal of Modern Physics C-Physics and Computers,1997,8(4):793-803
|
被引
2
次
|
|
|
|
7.
He X. Lattice Boltzmann Model for the Incompressible Navier-Stokes Equation.
Journal of Statistical Physics,1997,88(3/4):927-944
|
被引
18
次
|
|
|
|
8.
Guo Z L. Lattice BGK Model for Incompressible Navier-Stokes Equation.
Journal of Statistical Physics,2000,165(1):288-306
|
被引
3
次
|
|
|
|
9.
He X. Analytic Solution of Simple Flows and Analysis of Non-slip Boundary Conditions for the Lattice Boltzmann BGK Model.
Journal of Statistical Physics,1997,87(1/2):115-136
|
被引
24
次
|
|
|
|
10.
Noble D. A Consistent Hydrodynamic Boundary Condition for the Lattice Boltzmann Method.
Physics of Fluids,1995,7(1):203-209
|
被引
1
次
|
|
|
|
11.
Chen S. On the Boundary Conditions in Lattice Boltzmann Methods.
Physics of Fluids,1996,8(9):2527-2536
|
被引
27
次
|
|
|
|
12.
Guo Z L. Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method.
Chinese Physics,2002,11(4):366-374
|
被引
117
次
|
|
|
|
13.
Chen Y. Thermal Lattice Bhatnagar-Gross-Kook Model without Nonlinear Deviations in Macro-dynamic Equations.
Physical Review E,1994,50(4):2776-2783
|
被引
14
次
|
|
|
|
14.
He X. A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit.
Journal of Computational Physics,1998,146(1):282-300
|
被引
47
次
|
|
|
|
15.
Shi B C. Thermal Lattice BGK Simulation of Turbulent Natural-convection due to Internal Heat.
International Journal of Modern Physics B-Cosmology and Nuclear Physics,2003,17(1/2):173-177
|
被引
2
次
|
|
|
|
16.
Guo Z L. A Coupled Lattice BGK Model for the Boussinesq Equation.
International Journal for Numerical Methods in Fluids,2002,39(4):325-342
|
被引
25
次
|
|
|
|
17.
Zheng L. TLBM Model for the Viscous Heat Dissipation in Incompressible Limit.
International Journal of Modern Physics B-Cosmology and Nuclear Physics,2007,21(1):117-126
|
被引
3
次
|
|
|
|
18.
杜睿.
隐格式的不可压LBGK模型及复杂边界条件分析,2004:33
|
被引
1
次
|
|
|
|
|