Convection of internal variable methodology in Computational Fluid Dynamics solutions for thixoforming modelling

• Autorzy: Macioł P.

Warianty tytułu

PL

Metoda konwekcji zmiennej wewnętrznej w rozwiązaniu z zakresu komputerowej mechaniki płynów (CFD) dla tiksoformingu

• Konferencja: 14th KomPlasTech Conference, Zakopane, January 14-17, 2007
• Języki publikacji: EN

Abstrakty

EN

During thixoforming, the deformed material is in semi-solid state. From numerical point of view, such materials are difficult to simulate because of gathering some features of solid materials and some of fluids. Materials properties are history dependent like in solids, while deformations could be extremely high, like in fluids. The typical solutions of structural analysis, based on Lagrangian motion description are difficult because of remeshing, which is needed in short time intervals. Frequent remeshing operations increase time consumptions and decrease the accuracy of solution. On the other hand, typical Computational Fluid Dynamics (CFD) solutions, usually based on Eulerian motion description, are ineffective when domain borders are changing. Because of material points are detached from mesh nodes, the history dependent parameters of the material are also very difficult to introduce. On the contrary, in the third possible formulation, Arbitrary Lagrangian Eulerian (ALE), the material points are not bound with mesh nodes and domain geometry could change. In ALE formulation each time step is divided into Lagrangian and Eulerian steps, what assures that history of material could be included and the calculation domain is reproduced properly by the mesh. Therefore, ALE formulation seems to be the best solution in the most thixoforming cases. The disadvantages of this method are the time consumptions and some inaccuracy of approximation needed between both steps. In the cases when the domain of solution is unchangeable, Eulerian formulation could be more promising than ALE. The Eulerian solution is easier to implement, as well as computational round-offs are less significant. The difficulties connected with history dependent parameters could be solved with “internal variable convection”. After classical time step, when new velocities in nodes are computed, the convection step is carried out. While velocity field is known, the convection of internal variable values could be calculated. The changes of internal variable due to material processes could be included as a source stream. The internal variable convection methodology allows to adapt typical CFD codes for thixoforming simulations, with complying viscosity changes in time. This approach also makes very high deformations relatively easy to compute. In this paper, the assumption and proposition of implementation of internal variable convection into thixoforming modelling is presented.

PL

Tiksoforming jest stosunkowo nową metodą formowania. Polega ona na nadawaniu znacznego stopnia odkształcenia materiałowi w stanie stało-ciekłym. Z numerycznego punktu widzenia, procesy te są trudne do modelowania, co jest efektem występowania zjawisk charakterystycznych zarówno dla cieczy, jak i ciał stałych. Własności materiału są zależne od czasu, podobnie jak w materiałach stałych, podczas gdy odkształcenie może być bardzo duże, podobnie jak w cieczach. W artykule zaprezentowano przegląd obecnie istniejących rozwiązań numerycznych, opartych głównie na metodach dynamiki płynów, z zastosowaniem opisu kinetyki wg metody Eulera lub Arbitrary Lagrangian Eulerian (ALE). Wykazana została potrzeba opracowania nowej metody symulacyjnej dla zależnych od czasu materiałów poddawanych formowaniu tiksotropowemu. Opisana została metoda konwekcji zmiennej wewnętrznej dla eulerowskiego opisu kinetyki. Przedstawiona została implementacja metody jako procedur użytkownika komercyjnego pakietu ADINA-F. Zaprezentowano przykładowe wyniki dla prostych przepływów tiksotropowych.

Słowa kluczowe

EN

computational fluid dynamics (CFD); internal variable; thixoforming; Eulerian mesh

• Wydawca: Wydawnictwa AGH
• Czasopismo: Computer Methods in Materials Science
• Rocznik: 2007
• Tom: Vol. 7, No. 1
• Strony: 112--118
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Macioł P.

• Interdisciplinary Centre for Materials Modelling, AGH University of Science and Technology, Faculty of Metals Engineering and Industrial Computer Science, al. Mickiewicza 30, 30-059 Kraków,

Bibliografia

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