求解粘性流体和热迁移联立方程的迎风局部微分求积法

A·S·J·阿尔赛夫; 朱正佑

求解粘性流体和热迁移联立方程的迎风局部微分求积法

A·S·J·阿尔赛夫^1,3,
朱正佑^{1, 2}

1.
上海大学,上海市应用数学和力学研究所,上海 200072;2.上海大学数学系,上海 200436;3.巴士拉大学数学系,伊拉克

基金项目: 上海市重点学科建设资助项目

详细信息

作者简介:
A.S.J.Al-Saif(1964- ),男,伊拉克人,博士(E-mail:ajsaif9@hotmail.com);朱正佑(1937- ),教授(联系人.Tel:+86-21-56331454;Fax:+86-21-56380560;E-mail:chjcheng@yc.shu.edu.cn)

中图分类号: O357.1；O241.82
计量
- 文章访问数: 2599
- HTML全文浏览量: 125
- PDF下载量: 444
- 被引次数: 0
出版历程
- 收稿日期: 2003-07-10
- 修回日期: 2004-06-15
- 刊出日期: 2004-10-15

Upwind Local Differential Quadrature Method for Solving Coupled Viscous Flow and Heat Transfer Equations

A. S. J. Al-Saif^1,3,
ZHU Zheng-you^{1, 2}

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

摘要

摘要: 微分求积方法(DQM)已成功地应用于数值求解流体力学中的许多问题．但是已有的工作大多限于正规区域的流动问题，同时缺少用迎风机制来描述流体流动的对流特性．该文对一个不规则区域中的不可压缩层流和热迁移的耦合问题给出了一种具有迎风机制的局部微分求积方法，对通过边界和坐标不平行的收缩管道中的流体，只用少数网格点得到了比较好的数值解．和有限差分方法（FDM）相比较，这一方法具有计算工作量少、存储量小和收敛性好等优点．
- 迎风局部微分求积方法 /
- N-S方程 /
- 热方程
Abstract: The differential quadrature method (DQM) has been applied successfully to solve numerically many problems in the fluid mechanics.But it is only limited to the flow problems in regular regions.At the same time,here is no upwind mechanism to deal with the convective property of the fluid flow in traditional DQ method.A local differential quadrature method owning upwind mechanism (ULDQM) was given to solve the coupled problem of incompressible viscous flow and heat transfer in an irregular region.For the problem of flow past a contraction channel whose boundary does not parallel to coordinate direction,the satisfactory numerical solutions were obtained by using ULDQM with a few grid points.The numerical results show that the ULDQM possesses advantages including well convergence,less computational workload and storage as compared with the low-order finite difference method.
- upwind locall DQM /
- Navier-Stokes equation /
- heat equation

HTML全文

参考文献(14)

[1]	Bellman R,Casti J.Differential quadrature and long-term integration[J].J Math Anal Appl,1971,34:235—238. doi: 10.1016/0022-247X(71)90110-7
[2]	Bellman R,Kashef G,Casti J.Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations[J].J Comput Phys,1972,10(1):40—52. doi: 10.1016/0021-9991(72)90089-7
[3]	Bert C W,Malik M.The differential quadrature method for irregular domains and application to plate vibration[J].Internat J Mech Sci,1996,38(6):589—606.
[4]	Lam S S.Application of the differential quadrature method to two-dimensional problems with arbitrary geometry[J].Compu Struct,1993,47(3):459—464. doi: 10.1016/0045-7949(93)90241-5
[5]	Han J B,Liew K M.An eight-node curvilinear differential quadrature formulation for reissner/mindlin plates[J].Compu Methods Appl Mech Engrg,1997,141(3/4):265—280. doi: 10.1016/S0045-7825(96)01115-2
[6]	Wang X W,Guh Z.Static analysis of frame structures by the differential quadrature element method[J].Internat J Numer Methods Engrg,1997,40(4):759—772. doi: 10.1002/(SICI)1097-0207(19970228)40:4<759::AID-NME87>3.0.CO;2-9
[7]	Chen W,Alfred G, Bert C W.A new approach to the differential quadrature method for fourth-order equation[J].Internat J Numer Methods Engrg,1997,40(11):1941—1956. doi: 10.1002/(SICI)1097-0207(19970615)40:11<1941::AID-NME145>3.0.CO;2-V
[8]	Shu C,Chen W, Du H.Free vibration analysis of curvilinear quadrilateral plates by the differential quadrature method[J].J Comput Phys,2000,163(2):452—466. doi: 10.1006/jcph.2000.6576
[9]	Shu C,Xue H,Zhu Y D. Numerical study of natural convection in an eccentric annulus between a square outer cylinder and a circular inner cylinder using DQ method[J].Internat J Heat and Mass Transfer,2001,44(17):3321—3333. doi: 10.1016/S0017-9310(00)00357-4
[10]	Shu C.Application of differential quadrature method to simulate natural convection in a concentric annulus[J].Internat J Numer Methods Fluids,1999,30(8):977—993. doi: 10.1002/(SICI)1097-0363(19990830)30:8<977::AID-FLD873>3.0.CO;2-J
[11]	Shu C,Xue H.Comparison of two approaches for implementing stream function boundary conditions in DQ simulation of natural convection in a square cavity[J].Internat J Heat and Fluid Flow,1998,19(1):59—68. doi: 10.1016/S0142-727X(97)10010-8
[12]	Liaqat A,Baytas A C.Conjugate natural convection in a square enclosure containing volumetric sources[J].Internat J Heat and Mass Transfer,2001,44(17):3273—3280. doi: 10.1016/S0017-9310(00)00345-8
[13]	Papanicolaou E,Belessioties V.Transient natural convection in a cylindrical enclosure at high Rayleigh numbers[J].Internat J Heat and Mass Transfer,2002,45(7):1425—1444. doi: 10.1016/S0017-9310(01)00258-7
[14]	Lin W X, Armfield S W. Natural convection cooling of rectangular and cylindrical containers[J].Internat J Heat and Fluid Flow,2001,22(1):72—81. doi: 10.1016/S0142-727X(00)00065-5

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2599
HTML全文浏览量: 125
PDF下载量: 444
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

求解粘性流体和热迁移联立方程的迎风局部微分求积法

作者简介:
A.S.J.Al-Saif(1964- ),男,伊拉克人,博士(E-mail:ajsaif9@hotmail.com);朱正佑(1937- ),教授(联系人.Tel:+86-21-56331454;Fax:+86-21-56380560;E-mail:chjcheng@yc.shu.edu.cn)

计量

Upwind Local Differential Quadrature Method for Solving Coupled Viscous Flow and Heat Transfer Equations

计量

目录

留言板

求解粘性流体和热迁移联立方程的迎风局部微分求积法

作者简介: A.S.J.Al-Saif(1964- ),男,伊拉克人,博士(E-mail:ajsaif9@hotmail.com);朱正佑(1937- ),教授(联系人.Tel:+86-21-56331454;Fax:+86-21-56380560;E-mail:chjcheng@yc.shu.edu.cn)

计量

出版历程

Upwind Local Differential Quadrature Method for Solving Coupled Viscous Flow and Heat Transfer Equations

计量

出版历程

目录

作者简介:
A.S.J.Al-Saif(1964- ),男,伊拉克人,博士(E-mail:ajsaif9@hotmail.com);朱正佑(1937- ),教授(联系人.Tel:+86-21-56331454;Fax:+86-21-56380560;E-mail:chjcheng@yc.shu.edu.cn)