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**Harvard**

Holmström, A., Larsson, F., Runesson, K. och Edlund, S. (2005) *Efficient Space-time FE for a Simplified Thermo-metallurgical Problem Relevent to Casting*.

** BibTeX **

@conference{

Holmström2005,

author={Holmström, Andreas and Larsson, Fredrik and Runesson, Kenneth and Edlund, Stefan},

title={Efficient Space-time FE for a Simplified Thermo-metallurgical Problem Relevent to Casting},

booktitle={Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2005 Santorini Island, Greece, May 25-27, 2005},

isbn={84-95999-71-4},

pages={227},

abstract={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-time
FE-discretization for a hierarchy of discontinuous Galerkin in time, dG(k) k>=0. This formulation integrates
the stored energy exact. As a special case we regain the
enthalpy-method with suitable average of the energy
generation 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 field
problem 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.},

year={2005},

}

** RefWorks **

RT Conference Proceedings

SR Print

ID 23501

A1 Holmström, Andreas

A1 Larsson, Fredrik

A1 Runesson, Kenneth

A1 Edlund, Stefan

T1 Efficient Space-time FE for a Simplified Thermo-metallurgical Problem Relevent to Casting

YR 2005

T2 Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2005 Santorini Island, Greece, May 25-27, 2005

SN 84-95999-71-4

AB 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-time
FE-discretization for a hierarchy of discontinuous Galerkin in time, dG(k) k>=0. This formulation integrates
the stored energy exact. As a special case we regain the
enthalpy-method with suitable average of the energy
generation 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 field
problem 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.

LA eng

OL 30