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Phase Change Problems with Void

1988
A problem on a phase change related to thermal energy storage in Manned Space Station is being studied by D.G. Wilson, J.B. Drake and R.E. Flanery at Oak Ridge National Laboratory: “It is intended that the manned space station satisfy a considerable portion of its power requirements with solar energy.
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Phase Change Model: Stefan Problem

2020
The Stefan system is a well-known moving-boundary PDE system modeling the thermodynamic liquid–solid phase change phenomena. The associated problem of analyzing and finding the solutions to the Stefan model is referred to as the “Stefan problem.” It is named after the Austrian physicist Josef Stefan, who was one of the most distinguished and ...
Shumon Koga, Miroslav Krstic
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AN IMPLICIT/EXPLICIT NUMERICAL SOLUTION SCHEME FOR PHASE-CHANGE PROBLEMS

Numerical Heat Transfer, 1984
This paper is the first part of a two-part study of phase-change problems which may involve multiple moving interfaces and generalized interface energy balances [for part II see ibid. 7, 17-38 (1984; reviewed below)]. The scheme combines an implicit treatment of the temperature field equations with an explicit treatment of the interface energy balance.
Sparrow, E. M., Chuck, W.
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Iterative Solution of a Nonlinear System Arising in Phase-Change Problems

SIAM Journal on Scientific and Statistical Computing, 1990
The authors compare the performance of a (nonlinear) Gauss-Seidel (GS) and a preconditioned conjugate gradient (PCG) iteration method on a three-dimensional Stefan problem (posed in a parallelepiped) in enthalpy formulation on two different vector computers. The Gauss-Seidel method uses red-black ordering to allow for vectorization, the matrix elements
M. A. Williams, D. G. Wilson
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A Sensitivity Equation Method for Conduction and Phase Change Problems

2001
In this paper, we present a Continuous Sensitivity Equation (CSE) that describes the sensitivity of temperature with respect to shape parameters, physical properties and other parameters. We begin by introducing the notion of sensitivities using a one-dimensional, steady-state conduction problem for a composite rod. The model is extended to incorporate
Jeff Borggaard, Dominique Pelletier
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Phase-change problems with variable surface temperatures.

AIAA Journal, 1967
Simplified procedures are described for the approximate solution of heat-transfer problems with phase change for time-dependent surface temperatures. For constant surface temperature, the specified problem reduces to classical form and may be solved analytically by the method of Neumann.
O. P. SHARMA, M. ROTENBERG, S. S. PENNER
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Modelling Methodologies for Convection-Diffusion Phase-Change Problems

2004
In recent years numerical simulation of phase-change problems have attracted much interest due to their significance for several technological process. Melting and solidification are typical examples of phase change met in the metallurgical industries or crystal growth technology. These processes involve complex phenomena of mass and heat transfer that
STELLA, Fulvio, GIANGI, Marilena
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The Numerical Solution of Phase Change Problems

1987
The enthalpy method for heat transfer with change of phase and some numerical experiments with the phase function extension of the enthalpy formulation are discussed. Then the method of lines front tracking algorithm is described which solves multi-dimensional time dependent free boundary problems as a sequence of time implicit one dimensional problems.
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