Computational Simulations and Applications 2011
DOI: 10.5772/24496
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Numerical Modeling of Solidification Process

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Cited by 15 publications
(19 citation statements)
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“…The artificial internal heat source contains the coupling factor with (3), the solution of (22) requires the knowledge of the solution to equation (3). In a similar way the other equations creating the sensitivity ( ) t x U , model can be obtained.…”
Section: Sensitivity Analysismentioning
confidence: 99%
“…The artificial internal heat source contains the coupling factor with (3), the solution of (22) requires the knowledge of the solution to equation (3). In a similar way the other equations creating the sensitivity ( ) t x U , model can be obtained.…”
Section: Sensitivity Analysismentioning
confidence: 99%
“…Because for T l < T S : S(T l ) = 1, this means dS(T l )/dT l = 0 and for T l > T L : S(T L ) = 0, this means dS(T l )/dT l = 0, the definition of substitute thermal capacity of lattice can be extended on the whole domain [7,8,9]. If one assumes that…”
Section: T X T T X T C T T T X X G T T X T T X Tmentioning
confidence: 99%
“…The problem is solved using finite difference method [8] under the assumption that Δt = 0.0001 ps and h x = 1 nm. Figure 2 shows the changes of electrons and lattice temperatures at the irradiated surface.…”
Section: Examples Of Computationsmentioning
confidence: 99%
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“…At the stage of this source function construction the thermal processes proceeding in the micro scale are taken into account. A capacity of source function is proportional to the crystallization rate, more precisely, to time derivative of function f S (x, t) corresponding to the local and temporary volumetric fraction of solid state at the point considered [3][4][5][6] and the kinetics of nucleation and nuclei growth determines the local and temporary value of this function. It is assumed that the driving force of nucleation and nuclei growth is the undercooling below the solidification point T * .…”
Section: Introductionmentioning
confidence: 99%