Solution Of The Transient Direct Chill Casting
Problem With Simultaneous Material And
Interphase Moving Boundaries By The Local
Radial Basis Function Collocation Technique
Author(s)
B. Šarler & R. Vertnik
Abstract
This paper uses a recently developed upgrade of the classical meshless Kansa
method for solution of the transient heat transport in direct-chill casting of
aluminium alloys. The problem is characterised by a moving mushy domain
between the solid and the liquid phase and a moving starting bottom block that
emerges from the mould during the process. The solution of the thermal field is
based on the mixture continuum formulation. The movement of the bottom block
is approximated by the movement of the boundary condition through the
computational domain. The moving domain and boundary of interest are divided
into overlapping influence areas. On each of them, the fields are represented by
the multiquadrics radial basis function collocation on a related sub-set of nodes.
Time-stepping is performed in an explicit way. The governing equation is solved
in its strong form, i.e. no integrations are performed. The polygonisation is not
present and the method is practically independent on the problem dimension.
Realistic boundary conditions and temperature variation of material properties
are included. Two-dimensional test case solution is shown at different times,
verified by comparison with the finite volume method results.
Keywords: direct chill casting, start-up phase, aluminium, solidification,
meshless method, local radial basis function collocation method, moving
boundary problem, multiquadrics.
Keywords
direct chill casting, start-up phase, aluminium, solidification,
meshless method, local radial basis function collocation method, moving
boundary problem, multiquadrics.
Related Book
Other papers in this volume
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