Two phase stefan problem
WebAn adaptive local mesh refinement strategy for two-phase Stefan problems is discussed in light of its efficiency and computational complexity. ... C. Verdi, On the numerical approach to a two-phase Stefan problem with nonlinear flux, … WebIn this work, we consider the heat transfer problems with phase change. The mathematical model is described through a two-phase Stefan problem and defined in the whole domain that contains frozen and thawed subdomains. For the numerical solution of the problem, we present three schemes based on different smoothing of the sharp phase change …
Two phase stefan problem
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WebKey words. Stefan problem, phase change problems, enthalpy, convergence. AMS subject classi cations. 35B6, 65L20, 65N12, 80A20, 80A22. 1. Introduction The two-phase Stefan … WebSep 17, 2024 · Abstract. The non-local in space two-phase Stefan problem (a prototype in phase change problems) can be formulated via a singular nonlinear parabolic integro-differential equation which admits a unique weak solution. This formulation makes Stefan problem to be part of the General Filtration Problems; a class which includes the Porous …
WebJan 1, 1981 · A new algorithm is proposed for solving the Stefan problem for the case when the initial region occupied by the medium in a given phase is a starshaped two-dimensional domain. The evolution of this region as time increases is determined by plotting the free boundary directly. At each time step this is approximated by a polygon in the interior ... WebAbstract. The existence of the classical solution of the many-dimensional two-phase Stefan problem is proved for any finite time interval in the case of contact of an unknown (free) boundary with the known one. Download to read the full article text.
WebApr 10, 2008 · Akhtar S, Xu M and Sasmito A (2024) Development and validation of an asymptotic solution for a two-phase Stefan problem in a droplet subjected to convective … In mathematics and its applications, particularly to phase transitions in matter, a Stefan problem is a particular kind of boundary value problem for a system of partial differential equations (PDE), in which the boundary between the phases can move with time. The classical Stefan problem aims to describe the … See more The problem is named after Josef Stefan (Jožef Stefan), the Slovenian physicist who introduced the general class of such problems around 1890 in a series of four papers concerning the freezing of the ground and the … See more The one-dimensional one-phase Stefan problem The one-phase Stefan problem is based on an assumption that one of the material phases may be … See more The classical Stefan problem deals with stationary materials with constant thermophysical properties (usually irrespective of phase), a constant phase change temperature and, in the example above, an instantaneous switch from the initial temperature … See more 1. ^ Applied partial differential equations. Ockendon, J. R. (Rev. ed.). Oxford: Oxford University Press. 2003. ISBN 0-19-852770-5. OCLC 52486357.{{cite book}}: CS1 maint: others ( See more From a mathematical point of view, the phases are merely regions in which the solutions of the underlying PDE are continuous and differentiable up to the order of the PDE. In physical problems such solutions represent properties of the medium for each … See more Apart from modelling melting of solids, Stefan problem is also used as a model for the asymptotic behaviour (in time) of more complex problems. For example, Pego uses matched asymptotic expansions to prove that Cahn-Hilliard solutions for phase separation … See more • Free boundary problem • Olga Oleinik • Shoshana Kamin See more
WebMar 1, 2002 · In this paper we study the two-phase Stefan problem for a viscous incompressible fluid which is a model of melting a solid to a liquid or of soldificating a liquid to a solid with a liquid flowing. The unique solvability is established in Holder spaces locally in time. The method of the proof is rather standard, however the result obtained is … timex uhren ironmanWebAug 26, 2011 · We prove the existence of a global classical solution of the multidimensional two-phase Stefan problem. The problem is reduced to a quasilinear parabolic equation … timex uk repairsWebSep 18, 2024 · Abstract. Artificial ground freezing (AGF) has historically been used to stabilize underground structure. Numerical methods generally require high computational … parking at sywell country parkWebIn comparison to the one-phase Stefan problem little work appears to have been done on numerical methods for the two-phase case. An approximation method for two- and multiphase problems was presented in 1939 by Huber [8]. The free boundary was extrapolated over small time steps which led to uncoupled timex universityWebApr 14, 2024 · S. Damian, “Direct and inverse one-phase Stefan problem solved by the variational iteration method,” Comp. & Math. with Applications, Vol. 54, Iss. 7–8, … parking at sydney international airportWebJul 4, 2013 · We study a nonlocal version of the two-phase Stefan problem, which models a phase transition problem between two distinct phases evolving to distinct heat equations. … timex user manualWebThis paper develops a thermomechanics of two-phase heat conductors in which the interface between phases is fully faceted. The theory is based on balance of forces, … parking at swiss cottage