Application of meshless EFG method in fluid flow problems

Sadhana - Academy Proceedings in Engineering Sciences

Volumn 29, Issue 3, 2004, Pages 285-296

  Singh, I V ^a  

^a BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE   (India)

Author keywords

Element free Galerkin method; Meshless method; Steady state analysis; Transient analysis; Two dimensional fluid flow

Indexed keywords

DATA REDUCTION; FINITE ELEMENT METHOD; HEAT TRANSFER; HYDRODYNAMICS; LAGRANGE MULTIPLIERS; LEAST SQUARES APPROXIMATIONS; PROBLEM SOLVING;

ELEMENT-FREE GALERKIN METHOD; MESHLESS METHOD; STEADY STATE ANALYSIS; TWO-DIMENSIONAL FLUID FLOW;

FLOW OF FLUIDS;

EID: 3142696430     PISSN: 02562499     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02703778     Document Type: Article

References (30)

1. Appel D W, Hubbard P G, Landweber L, Laursen E M, McNown J S, Rouse H, Siao T T, Touch A, Yih C S 1959 Advanced mechanics of fluids (Iowa: Institute of Hydraulic Research)
2. Atluri S N, Zhu T 1998 A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech. 22: 117-127
3. Babuska I, Melenk J M 1997 The partition of unity method. Int. J. Numer. Methods Eng. 40: 727-758
4. Belytschko T, Tabbara M 1996 Dynamic fracture using element-free Galerkin methods. Int. J. Numer. Methods Eng 39: 923-938
5. Belytschko T, Lu Y Y, Gu L 1994a Element-free Galerkin methods. Int. J. Numer. Methods Eng. 37: 229-256
6. Belytschko T, Gu L, Lu Y Y 1994b Fracture and crack growth by element-free Galerkin methods. Model. Simul. Mater. Sci. Eng. 2: 519-534
7. Belytschko T, Organ D, Krongauz Y 1995 A coupled finite element-element-free Galerkin method. Comput. Mech. 17: 186-195
8. Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P 1996 Meshless methods: an overview and recent developments. Comput. Methods Appl. Mech. Eng. 139: 3-47
9. Cingoski V, Miyamoto N, Yamashita H 1998 Element-free Galerkin method for electromagnetic field computations. IEEE Trans. Magn. 34: 3236-3239
10. De S, Bathe K J 2000 The method of finite spheres. Comput. Mech. 25: 329-345
11. Dolbow J, Belytschko T 1998 An introduction to programming the meshless element-free Galerkin method. Arch. Comput. Mech. 5: 207-241
12. Krysl P, Belytschko T 1996a Analysis of thin plates by element-free Galerkin method. Comput. Mech. 17: 26-35
13. Krysl P, Belytschko T 1996b Analysis of thin shells by element-free Galerkin method. Int. J. Solids Struct. 33: 3057-3080
14. Liu W K, Jun S, Zhang Y F 1995 Reproducing kernel particle methods. Int. J. Numer. Methods Eng. 20: 1081-1106
15. Liu G R, Gu Y T 2000 Coupling of element-free Galerkin method and hybrid boundary element methods using modified variational formulation. Comput. Mech. 26: 166-173
16. Lu Y Y, Belytschko T, Gu L 1994 A new implementation of the element-free Galerkin method. Comput. Methods Appl. Mech. Eng 113: 397-414
17. Lu Y Y, Belytschko T, Tabbara M 1995 Element-free Galerkin methods for wave propagation and dynamic fracture. Comput. Methods Appl. Mech. Eng. 126: 131-153
18. Monaghan J J 1988 An introduction to SPH. Comput. Phys. Commun. 48: 89-96
19. Monaghan J J 1992 Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30: 543-574
20. Nayroles B, Touzot G, Villon P 1992 Generalizing the finite element method: diffuse approximation and diffuse elements. Comput. Mech. 10: 307-318
21. Reddy J N 1993 An introduction to the finite element method (McGraw-Hill: Singapore)
22. Singh IV, Sandeep K, Prakash R 2002 The element-free Galerkin method in three-dimensional steady state heat conduction. Int. J. Comput. Eng. Sci. 3: 291-303
23. Singh IV, Sandeep K, Prakash R 2003a Heat transfer analysis of two-dimensional fins using meshless element-free Galerkin method. Numer. Heat Transfer A44: 73-84
24. Singh IV, Sandeep K, Prakash R 2003b Meshless EFG method in transient heat conduction problems. Int. J Heat Technol. 21: 99-105
25. Sukumar N, Moran B, Black T, Belytschko T 1997 An element-free Galerkin method for three-dimensional fracture mechanics. Comput. Mech. 20: 170-175
26. Sukumar N, Moran B, Belytschko T 1998 The natural element method in solid mechanics. Int. J. Numer. Methods Eng 43: 839-887
27. Sukumar N, Moran B, Yu Semenov A, Belikov V V 2001 Natural neighbour Galerkin methods. Int. J. Numer. Methods Eng. 50: 1-27
28. Xuan L, Zeng Z, Shanker B, Udpa L 2001 Meshless element-free Galerkin method in NDT applications. 28th Annu. Rev. of Progress in Quantitative and Nondestructive Evaluation, Maine, USA (AIP Conf. Proc.)
29. Yagawa G, Yamada T 1996 Free mesh method, a new meshless finite element method. Comput. Mech. 18: 383-386
30. Zhu T, Zhang J D, Atluri S N 1998 A meshless local boundary integral equation (LBIE) method for solving nonlinear problems. Comput. Mech. 22: 174-186