Mesh-Free Simulation of Transport Phenomena in Continuous Castings of Aluminium Alloys

Božidar Šarler; Robert Vertnik

doi:10.4028/www.scientific.net/MSF.508.497

Paper Titles

The Effect of Fluid Convection on Microstructures of Directionally Solidified Castings
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Single Crystal Growth – New Techniques on Old Base
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Experimental Performance within the SCA Prototype Test 1 Using ESA`s Solidification and Quench Furnace (MSL-SQF) on Ground
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In Situ Optical Determination of Fraction Solid of Al-Si-Mg Alloys
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Mesh-Free Simulation of Transport Phenomena in Continuous Castings of Aluminium Alloys
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The Effect of Fluid Flow on Heat Transfer and Shell Growth in Continuous Casting of Copper
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New Algorithm to Calculate Liquid – Solid Shrinkage and Graphite Expansion
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Melt Flow and Macrosegregation in DC Casting of Binary Aluminum Alloys
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From Solidification Simulation to Virtual Product Development
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HomeMaterials Science ForumMaterials Science Forum Vol. 508Mesh-Free Simulation of Transport Phenomena in...

Mesh-Free Simulation of Transport Phenomena in Continuous Castings of Aluminium Alloys

Abstract:

This paper introduces a general numerical scheme for solving convective-diffusive problems that appear in the solution of microscopic and macroscopic transport phenomena in continuous castings and the heat treatment of aluminium alloys. The numerical scheme is based on spatial discretisation that involves pointisation only. The solution is based on diffuse collocation with multi-quadric radial basis functions. The application of the method is demonstrated in a simplified model of a billet DC casting and verified by a comparison with the classical finite volume method.

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Periodical:

Materials Science Forum (Volume 508)

Pages:

497-502

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.508.497

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Online since:

March 2006

Authors:

Božidar Šarler, Robert Vertnik

Keywords:

D.C. Casting, Diffuse Collocation, Mesh-Free Methods, Radial Basis Function (RBF), Thin Strip Casting, Transport Phenomena

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References

[1] S.N. Atluri and S. Shen: The Meshless Method (Tech Science Press, USA 2002).

Google Scholar

[2] G.R. Liu: Mesh Free Methods (CRC Press, USA 2003).

Google Scholar

[3] B. Šarler: Chapter 9: Meshless Methods, in: Advanced Numerical Methods in Heat Transfer (Silesian Technical University Press, Poland, 2004).

Google Scholar

[4] B. Šarler: Towards a mesh-free computation of transport phenomena, Engineering Analysis with Boundary Elements, Vol. 26 (2002), pp.731-738.

DOI: 10.1016/s0955-7997(02)00044-9

Google Scholar

[5] M.D. Buhmann: Radial Basis Function: Theory and Implementations (Cambridge University Press, UK 2003).

Google Scholar

[6] I. Kovačević, A. Poredoš and B. Šarler: Solving the Stefan problem with the radial basis function collocation method, Numerical Heat Transfer, Part B-Fundaentals, Vol. 44 (2003), pp.575-599.

DOI: 10.1080/716100496

Google Scholar

[7] B. Šarler and J. Mencinger: Solution of temperature field in DC cast aluminium alloy billet by the dual reciprocity boundary element method, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 9 (1999), pp.267-297.

DOI: 10.1108/09615539910260130

Google Scholar