Local differential quadrature method for 2-D flow and forced-convection problems in irregular domains

Numerical Heat Transfer, Part B: Fundamentals

Volumn 55, Issue 2, 2009, Pages 116-134

  Shen, L H ^a   Young, D L ^a,b   Lo, D C ^a,c   Sun, C P ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^c NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

FEATURE EXTRACTION;

BOUNDARY APPROXIMATIONS; CAVITY FLOWS; CONVECTION PROBLEMS; DIFFERENTIAL QUADRATURE METHODS; DIFFERENTIAL QUADRATURES; DOMAIN PROBLEMS; DQ METHODS; FLOW AND HEAT TRANSFERS; ILL-CONDITIONED MATRIXES; IRREGULAR BOUNDARIES; IRREGULAR DOMAINS; NUMERICAL EXPERIMENTS;

EVOLUTIONARY ALGORITHMS;

EID: 61449145668     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407790802605430     Document Type: Article

References (26)

1. R. E. Bellman, B. G. Kashef, and J. Casti, Differential Quadrature: A Technique for the Rapid Solution of Nonlinear Partial Differential Equations, J. Comput. Phys., vol. 10, pp. 40-52, 1972.
2. C. Shu, Differential Quadrature and Its Applications in Engineering, Springer-Verlag, Berlin, 2000.
3. C. Shu and L. F. Fan, A New Discretization Method and Its Application to Solve Incompressible Navier-Stokes Equation, Comput. Mech., vol. 27, pp. 292-301, 2001.
4. C. Shu and Y. L. Wu, Domain-Free Discretization Method for Doubly Connected Domain and Its Application to Simulate Natural Convection in Eccentric Annuli, Comput. Meth. Appl Mech. Eng., vol. 191, pp. 1827-1841, 2002.
5. C. Shu, H. Ding, and K. S. Yeo, Local Radial Basis Function-Based Differential Quadrature Method and Its Application to Solve Two-Dimensional Incompressible Navier-Stokes Equations, Comput. Meth. Appl. Mech. Eng., vol. 192, pp. 941-954, 2003.
6. Y. L. Wu, C. Shu, H. Q. Chen, and N. Zhao, Radial Basis Function-Enhanced Domain-Free Discretization Method and Its Applications, Numer. Heat Transfer B, vol. 46, pp. 269-282, 2004.
7. H. Ding, C. Shu, K. S. Yeo, and Z. L. Lu, Simulation of Natural Convection in Eccentric Annuli between a Square Outer Cylinder and a Circular Inner Cylinder Using Local MQDQ Method, Numer. Heat Transfer A, vol. 47, pp. 291-313, 2005.
8. K. M. Liew, Y. Q. Huang, and J. N. Reddy, A Hybrid Moving Least Squares and Differential Quadrature (MLSDQ) Meshfree Method, Int. J. Comput. Eng Sci., vol. 3, no. 1, pp. 1-12, 2002.
9. P. Malekzadeh, H. Rahideh, and G. Karami, A Differential Quadrature Element Method for Nonlinear Transient Heat Transfer Analysis of Extended Surfaces, Numer. Heat Transfer A, vol. 49, pp. 511-523, 2006.
10. Z. Zong and K. Y. Lam, A Localized Differential Quadrature (LDQ) Method and Its Application to the 2D Wave Equation, Comput. Mech., vol. 29, pp. 382-391, 2002.
11. C. Shu and B. E. Richard, High Resolution of Natural Convection in a Square Cavity by Generalized Differential Quadrature, Proc. of 3rd Conf. on Advances in Numerical Methods in Engineering, Theory and Applications, Swansea, UK, vol. 2, pp. 978-985, 1990.
12. C. Shu, B. C. Khoo, Y. T. Chew, and K. S. Yeo, Application of GDQ Scheme to Simulate Natural Convection in a Square Cavity, Int. Commun. Heat Mass Tranfer, vol. 21, pp. 809-817, 1994.
13. C. Shu and Q. Yao, An Efficient Approach to Simulate Natural Convection in Arbitrarily Eccentric Annuli by Vorticity-Stream Function Formulation, Numer. Heat Transfer A, vol. 38, pp. 739-756, 2002.
14. T. S. Lee, G. S. Hu, and C. Shu, Application of GDQ Method for the Study of Natural Convection in Horizontal Eccentric Annuli, Numer. Heat Transfer A, vol. 41, pp. 803-815, 2002.
15. C. Shu, Q. Yao, K. S. Yeo, and Y. D. Zhu, Numerical Analysis of Flow and Thermal Fields in Arbitrary Eccentric Annulus by Differential Quadrature Method, Int. J. of Heat and Mass Transfer, vol. 38, pp. 597-608, 2002.
16. D. C. Lo, D. L. Young, and K. Murugesan, GDQ Method for Natural Convection in a Square Cavity Using Velocity-Vorticity Formulation, Numer. Heat Transfer B, vol. 47, pp. 321-341, 2005.
17. D. C. Lo, D. L. Young, and K. Murugesan, GDQ Method for Natural Convection in a Cubic Cavity Using Velocity-Vorticity Formulation, Numer. Heat Transfer B, vol. 48, pp. 363-386, 2005.
18. D. C. Lo, D. L. Young, K. Murugesan, C. C. Tsai, and M. H. Gou, Velocity-Vorticity Formulation for 3D Natural Convection in an Inclined Cavity by DQ method, Int. J. Heat Mass Transfer, vol. 50, pp. 479-491, 2007.
19. A. J. Chorin, Numerical Solution of the Navier-Stokes Equations, Math. Comput., vol. 22, pp. 745-762, 1968.
20. U. Ghia, K. M. Ghia, and Shin, High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method, J. Comput. Phys., vol. 48, pp. 387-411, 1982.
21. C. C. Soong and W. C. Hsueh, Mixed Convection in a Suddenly-Expended Channel with Effects of Cold Fluid Injection, Int. J. Heat Mass Transfer, vol. 36, pp. 1477-1484. 1993.
22. D. Pelletier, F. Ilinca, and E. Turgeon, An Adaptive Element Method for Forced Convection, Int. J. Numer. Meth. Fluids, vol. 25, pp. 803-823, 1997.
23. C. W. Leung, S. Chen, and T. L. Chan, Numerical Simulation of Laminar Forced Convection in an Air-Cooled Horizontal Printed Circuit Board Assembly, Numer. Heat Transfer. A, vol. 37, pp. 373-393, 2002.
24. S. Cheroto, J. S. Pe'rez Guerrero, C. A. C. Santos, and S. Kakac, Integral Transform for Periodic Laminar Forced Convection in Simultaneously Developing Flow, Numer. Heat Transfer A, vol. 38, pp. 653-679, 2000.
25. A. Narasimhan and J. L. Lage, Forced Convection of a Fluid with Temperature-Dependent Viscosity Flowing Through a Porous Medium Channel, Numer. Heat Transfer A, vol. 40, pp. 801-820, 2001.
26. D. D. Luo, C. W. Leung, T. L. Chan, and W. O. Wong, Simulation of Turbulent Flow and Forced Convection in a Triangular Duct with Internal Ribbed Surfaces, Numer. Heat Trasfer A. vol. 48, pp. 447-459, 2005.