A finite point method for incompressible flow problems

Computing and Visualization in Science

Volumn 3, Issue 1-2, 2000, Pages 67-75

  Oñate, Eugenio ^a   Sacco, Carlos ^a   Idelsohn, Sergio ^a,b  

^a INTERNATIONAL CENTER FOR NUMERICAL METHODS IN ENGINEERING CIMNE   (Spain)

^b UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; FLOW OF FLUIDS;

FINITE POINT METHOD; FRACTIONAL STEP; INCOMPRESSIBLE FLUID; INCOMPRESSIBLE FLUID FLOW; MESHLESS; NUMERICAL SOLUTION; SEMI-IMPLICIT;

INCOMPRESSIBLE FLOW;

EID: 0002186392     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s007910050053     Document Type: Conference Paper

References (30)

1. Monaghan, J. J.: Smoothed particle hydrodynamics: Some recent improvement and applications. Annu. Rev. Astron. Physics 30:543-574 (1992)
2. Randles, P. W., Libersky, L. D.: Smoothed particle hydrodynamics: Some recent improvement and applications. Comp. Meth. Appl. Mech. Eng. 139:375-408 (1996)
3. Perrone, N., Kao, R.: A general finite difference method for arbitrary meshes. Comp. Struct 5:45-47 (1975)
4. Liszka, T., Orkisz, J.: The finite difference method at arbitrary irregular grids and its application in applied mechanics. Comp. Struct. 11:83-95 (1980)
5. Nayroles, B., Touzot, G., Villon, P.: Generalizing the FEM: Diffuse approximation and diffuse elements. Comput. Mechanics 10:307-318 (1992)
6. Belytschko, T., Lu, Y., Gu, L.: Element free Galerkin methods. Int. J. Num. Meth. Eng. 37:229-256 (1994)
7. Dolbow, J., Belytschko, T.: An introduction to programming the meshless element free Galerkin method. Archives of Comput. Meth. Eng. 5(3):207-241 (1998)
8. Liu, W. K., Jun, S., Li, S., Adee, J., Belytschko, T.: Reproducing Kernel particle methods for structural dynamics. Int. J. Num. Meth. Eng. 38:1655-1679 (1995)
9. Liu, W. K., Y. Chen, Jun, S., Chen, J. S., Belytschko, T., Pan, C., Uras, R. A., Chang, C. T.: Overview and applications of the Reproducing Kernel particle method. Archives of Comput. Meth. Eng. 3(1):3-80 (1996)
10. Oñate, E., Idelsohn, S., Zienkiewicz, O. C., Fisher, T.: A finite point method for analysis of fluid flow problems. Proceedings of the 9th Int. Conference on Finite Element Methods in Fluids. Venize, Italy: 15-21 October, (1995)
11. Oñate, E., Idelsohn, S., Zienkiewicz, O. C., Taylor, R. L.: A finite point method in computational mechanics. Applications to convective transport and fluid flow. Int. J. Num. Meth. Eng. 39:3839-3866 (1996)
12. Oñate, E., Idelsohn, S., Zienkiewicz, O. C., Taylor, R. L.: A stabilized finite point method for analysis of fluid mechanics's problems. Comput. Meth. in Appl. Eng. 139(1-4):315-347 (1996)
13. Oñate, E., Idelsohn, S.: A mesh free finite point method for advectivediffusive transport and fluid flow problems. Computational Mechanics 21:283-292 (1988)
14. Oñate, E.: Derivation of stabilized equations for advective-diffusive transport and fluid flow problems. Comput. Meth. Appl. Mech. Eng. 151(1-2):233-267 (1998)
15. Oñate, E., García, J., Idelsohn, S.: Computation of the stabilization parameter for the finite element solution of advective-diffusive problems. Int. J. Num. Meth. Fluids 25:1385-1407 (1997)
16. Oñate, E., García, J., Idelsohn, S.: An alpha-adaptive approach for stabilized finite element solution of advective-diffusive problems with sharp gradients. Ladeveze, P., Oden, J. T. (eds.). New Adv. in Adaptive Comp. Meth. Mech. Elsevier 1998
17. Oñate, E.: A finite element method for incompressible viscous flows using a finite increment calculus formulation. Research Report N. 150, CIMNE, Barcelona, January 1999. Submitted to Comput. Meth. Appl. Mech. Eng.
18. Oñate, E., Manzán, M.: A general procedure for deriving stabilized space-time finite elements for advective-diffussive problems. Int. J. Num. Meth. Fluids 31:203-221 (1999)
19. Zienkiewicz, O. C., Taylor, R. L.: The finite element method. 4th Edition, Vol. 1, McGraw Hill 1989
20. Ilinca, F., Hétu, J.-F., Peletier, D.: On stabilized finite element formulations for incompressible advective-diffusive transport and fluid flow problems. AIAA-97-1863. Presented at AIAA CFD Conference, Snowman CO, USA, July 1997. Submitted to Comp. Meth. Appl. Mech. Eng.
21. Zienkiewicz, O. C., Codina, R.: A general algorithm for compressible and incompressible flow. Part I: The split characteristic based scheme. Int. J. Num. Meth. Fluids 20:869-885 (1995)
22. Zienkiewicz, O. C., Morgan, K., Satya Sai, B. V. K., Codina, R., Vázquez, M.: A general algorithm for compressible and incompressible flow. Part II: Tests on the explicit form. Int. J. Num. Meth. Fluids 20(8-9):886-913 (1995)
23. Zienkiewicz, O. C., Rojek, J., Taylor, R. L., Pastor, M.: Triangles and tetrahedra in explicit dynamic codes for solids. Int. J. Num. Meth. Eng. 43:565-583 (1998)
24. Mizakami, A., Hughes, T. J. R.: A Petrov-Galerkin finite element method for convection dominated flows: an accurate upwinding technique for satisfying the maximum principle. Comput. Meth. Appl. Mech. Eng. 50:181-193 (1985)
25. Hughes, T. J. R., Mallet, M.: A new finite element formulations for computational fluid dynamics: IV. A discontinuity capturing operator for multi-dimensional advective-diffusive system. Comput. Meth. Appl. Mech. Eng. 58:329-336 (1986)
26. Galeao, A. C., Dutra Do Carmo, E. G.: A consistent approximate upwind Petrov-Galerkin method for convection dominated problems. Comput. Meth. Appl. Mech. Eng. 68:83-95 (1988)
27. Codina, R.: A discontinuity-capturing crosswind dissipation for the finite element solution of the convection-diffusion equation. Comput. Meth. Appl. Mech. Eng. 110:325-342 (1993)
28. Oñate, E., García, J.: A stabilized finite element method for incompressible flows involving free surface waves. Publication PI-160, CIMNE, Barcelona 1999
29. Ghia, U., Ghia, K., Shin, C.: High-Re solutions for incompressible flow using the Navier-Stokes equation and a multi-grid method. J. Comp. Phys. 48:387-441 (1982)
30. Armaly, B. F., Durst, F., Pereira, J. C. F., Schönung, B.: Experimental and theoretical investigations of backword-facing step flow. J. Fluid Mech. 127:473-496 (1983)