Fonctionnalite d 'on environnement oriente objet pour le developpement de code elements finis

Authors

  • Dominique Eyheramendy Laboratoire de mecanique des structures et milieux continus Ecole Polytechnique Federate de Lausanne DGC-A2, Ecublens CH-1015 Lausanne, Suisse
  • Thomas Zimmermann Laboratoire de mecanique des structures et milieux continus Ecole Polytechnique Federate de Lausanne DGC-A2, Ecublens CH-1015 Lausanne, Suisse

Keywords:

variational formulations, finite element method, incompressible linear elasticity, Navier-Stokes, object-oriented programming, symbolic computation, numerical computation

Abstract

Our purpose in this paper is to introduce aspects of user[s and developer's graphical interface associated with operational aspects in an object-oriented environment for symbolic derivation and automatic programming of finite elements. The approach is illustrated first on the example of two formulations for the linear elasticity and second on the example of a stabilized formulation for the Navier-Stokes problem.

 

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References

[BEH 94] M. BEliR, T.E. TEZDUYAR, Finite element so lution strategies for large-scale flow

simulation, Comput. Methods Appl. Mech. Engrg., t 12 ( 1994) pp. 3-24.

[EYH 96a) D. EYHERAMENDY, Th. ZIMMERMANN, Object-oriented finite elements : II. A

symbolic environment for automatic programming, Comput. Methods Appl. Mech.

Engrg., 132 ( 1996) pp. 277-304.

[EYH 96b) D. EYHERAMENDY, Th. ZIMMERMANN, Object-oriented Finite Element

Programming : An interactive environment for symbolic derivations, Application to an

Initial Boundary Value Problem, Advances in Engineering Software 27 ( 1996) 3- 10.

(EYH 97a) D. EYHERAMENDY, Th. ZIMMERMANN Derivations symboliques pour code

elements fini s - Application a un probleme d'elasticite, Actes du 3• Colloque national en

calcul des structures de Giens, (1997).

[EYH 97b] D. EYHERAMENDY, Object-Oriented Finite Elements Programming : Symbolic

derivation and automatic programming, PhD thesis report 1752, Ecole Polytechnique

Federate de Lausanne, ( 1997).

[EYH 97c) D. EYHERAMENDY, Th. ZIMMERMANN, Integration d'une approche variationnelle

pour Ia methode des elements finis : Application a un probleme de convection nonlineaire,

Soumis a Ia Revue Europeenne des elements finis (numero special), (1997).

[EYH 98] D. EYHERAMENDY, Th. ZIMMERMANN, Object-oriented finite elements : III. Theory

and application of automatic programming, Comput. Methods Appl. Mech. Engrg., I 54

( 1998) pp. 41-68.

[FRA 87] L. P. FRANCA, New mixed finite element methods, Ph.D. thesis report, Stanford

University, 1987.

(GHI 82) U. GI-IIA, K.N. GI-IIA, C.T. SHIN, High-Re solutions for incompressible now using

the Navier-Stokes equations and a multigrid method, J. Computational Physics, vol. 48

(1982) 387-411 .

[HUG 87] T. J. R. HuGHES, The Finite Element Method, Prenti ce Hall, (1987).

[SCH 83) R. SCHREIOER and H.B. KELLER, Driven cavity flows by effi cient numerical

techniques, J. Computational Physics , vol. 49 ( 1983) 310-333 .

[SHA 88) F. SltAKID, Finite Element analysis of the compressible Euler and Navier-Stokes

equations, Ph .D. thesis report, Stanford University, 1988.

,(STO 97) M. STORTI N. NIGRO, S. INDELSOIIN, Equal order interpolations: a unifi ed approach

to stabilize the incompressible and advcctive effects, omput. Methods Appl. Mech.

Engrg., 143 ( 1997) pp. 317-33 I.

lTEZ 92a) T.E. TEZDUYAR, S. MITTAL, S.E. RAY, R. SliiH, Incompressible flow computations

with stabili zed bilinear and linear equal-order-interpolation velocity-pressure elements,

Comput. Methods Appl. Mech. Engrg., 95 ( 1992) pp. 221-242.

[TEZ 92b] T.E. TEZDUYAR, M. BEl-IR, J. LIOU, A new strategy for finite element computations

involving moving boundaries and interfaces - The deformin g-spatial-domain/space-time

procedure : I. The concept and the preliminary numerical tests, Comput. Methods Appl.

Mech. Engrg., 94 ( 1992) pp. 339-35 I.

[VIS 95a] VisuaiSmalltalk Enterprise - 32 Bit Pure Object-Oriented Programming System,

User's guide, Park Place Digitalk, ( 1995).

[WIN 96] WindowBuilder ProN 3.1, Tutorial and Reference Guide, Obj ectShare Systems

Inc., ( 1996).

[ZIM 96) Th. ZrMMERMANN, D. EYHERAMENDY, Object-oriented finite elements : I. Principles

of symbolic derivation and automatic programming, Comput. Methods Appl. Mech.

Engrg., 132 (1996) pp. 277-304.

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Published

1998-02-08

How to Cite

Eyheramendy, D. ., & Zimmermann, T. . (1998). Fonctionnalite d ’on environnement oriente objet pour le developpement de code elements finis. European Journal of Computational Mechanics, 7(1-3), 209–222. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/3403

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Original Article