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Efficient Space-tim...
Efficient Space-time FE for a Simplified Thermo-metallurgical Problem Relevent to Casting
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- Holmström, Andreas, 1978 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Larsson, Fredrik, 1975 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Runesson, Kenneth, 1948 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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Edlund, Stefan (author)
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(creator_code:org_t)
- ISBN 8495999714
- 2005
- 2005
- English.
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In: Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2005 Santorini Island, Greece, May 25-27, 2005. - 8495999714 ; , s. 227-
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Abstract
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- Solving the non-linear thermo-metallurgical problem such as the thermal cooling of a molten metal or the macro-segregation during a cooling process are problems that needs careful consideration. The strong non-linearities of the problem makes it difficult to solve without having a prohibitive high cost arising from the high spatial and time-domain discretization needed to solve the problem. For the studied application of design optimization of cast components a low computational time is important since a lot of computations are necessary in an optimization.From the first law of thermodynamics we derive a space-timeFE-discretization for a hierarchy of discontinuous Galerkin in time, dG(k) k>=0. This formulation integratesthe stored energy exact. As a special case we regain theenthalpy-method with suitable average of the energygeneration over time.For the macro-segregation, the problem is reformulated so that the phase-transition drives a flow of species. Diffusion is possible throughout the domain in this model. This can then be further rewritten using a potential approach. We can by this aproch arrive in discretizations that guaranties that the balance equation is satisfied and can solve phase-transition problem as a fieldproblem or as a local problem.The coupled problems of cooling-transformation are solved. The possibility of using adaptivity in space-time for the coupled problem is discussed.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering (hsv//eng)
Publication and Content Type
- kon (subject category)
- vet (subject category)
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