Resolution auto-adaptative par elements finis de problemes de diffusion fortement non lineaires
Keywords:
thermic, unsaturated flow, finite element, automatic solvingAbstract
For many non stationnary problems, the time steps necessary to finite element computing are most of the time very difficult to determine. Thus, we propose an automatic method and we apply it to solve diffusion's equations. After analysing on simple cases the principe of this method, we solve two problems hightly non linear. The first one consists on the curing process of a composite structure (thermo-chemical coupling), and the second consists on the simulation of an earthdam's filling (flow in porous media).
Downloads
References
[VAU79] V AUCUN M.,KHANll D., V ACHAUD 0., "Experimental and numerical study
of a transient two-dirnensionnal unsatured-satured water table recharge problem", Water
Resources Research, Vol.15, n°5, pp 1089-1101, 1979.
[DEB87] DEBORDES 0., EL MOUATASSIM M., TOUZOT G., "Local numerical
integration of large strain elasto-plastic constitutive laws", second International
Conference and short course on constitutive laws for Engineering Materials - Theory and
Applications, 5-10 January 1987,Tucson Arizona.
[MOU89) EL MOUATASSIM M., "Modelisation en grandes transformations des solides
massifs par elements finis", these de l'Universite de Technologic de Compiegne, Octobre
[BON91] BONELU S., DEBORDES 0., DEGOUTIE G., "Numerical integration of
multimechanism elastoplastic constitutive laws for geomaterials", 3rd International
Symposium on Plasticity and its Current Applictions, Grenoble, 1991.
[GOL91) GOLAY F.," Contribution a Ia modelisation par elements finis des
phenomenes thermomecaniques apparaissant Jors de !'elaboration de materiaux
composites", These de l'universite Aix-Marseille II, 1991.
[FLE91] FLEUREAU J.M., FRY J.J., "Validation des modeles de couplage sur ouvrages
reels", Rapport d'activite du groupe Interaction, GRECO Goomateriaux 1991.
[GOL92] GOLAY F., DEBORDES O.,"Modelisation par elements finis de Ia
polymcrisation de structures composites - Applications industrielles", Revue Europeenne
des Elements Finis v1 n°1, pp51-73 1992.
[BON93] BONELU S., "Contribution a Ia resolution de problemes elastoplastiques de
mecanique des sols et d'ecoulements non satures par Ia methode des elements finis", these
de l'Universite Aix-Marseille II, Juin 1993.
[DAB93] DABOUNOU J., TOUWT G., "Integration numerique de lois de comportement
elastoplastique", a paraitre 1993.
