Departmental Papers (MEAM)

Document Type

Conference Paper

Date of this Version

9-18-2009

Comments

Suggested Citation:
Monteiro, E., De Almeida, R., Gonsalves, L. and A. Rouboa. (2009). "Advantages of Using a Block Unstructured Grid in a Casting Scenario." Proceedings of the Numerical Analysis and Applied Mathematics, International Conference 2009. Vol. 2. pp. 625-628.

Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Proceedings of the Numerical Analysis and Applied Mathematics, International Conference 2009. and may be found at http://link.aip.org/link/?APCPCS/1168/625/1

Abstract

Numerical modeling of heat transfer during solidification has become widespread in the foundry industry. This is because it is possible to investigate the effects of adjustment to the casting variables on final casting quality, without having to do costly trial-and-error experiments. After selecting a suitable mathematical model, one has to choose an appropriate discretization method. If the grid is very fine, each type of method yields the same solution. However, some methods are more suitable to some classes of problems than others. The main objective of this paper is to demonstrate the advantages of using a block unstructured grid in combination with a generalized curvilinear formulation in a casting scenario and compare the performance of two discretization methods, finite differences (FD) and finite volume (FV). The validation of the numerical procedure is done by comparison with measurements which experimental set up is also described. A very good agreement of both numerical methods were verified with a slightly advantage for the finite volume method. Block unstructured grids works well with both discretization methods, allows obtain any physical feature in specific positions of the domain and is suitable for parallel computation; in combination with a generalized curvilinear formulation allows avoid geometric complexities and the development of more efficient algorithms..

Keywords

casting, block grid, finite difference, finite volume

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Date Posted: 02 December 2010