A semidiscretization scheme for a phase-field type model for solidification.
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Vaz, Cristina, Boldrini, José Luiz (2006)
Portugaliae Mathematica. Nova Série
Bokhari, Ashfaque H., Mohammad, Ghulam, Mustafa, M.T., Zaman, F.D. (2009)
Mathematical Problems in Engineering
Christophe Berthon, Didier Reignier (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
The paper deals with the numerical resolution of the convection-diffusion system which arises when modeling combustion for turbulent flow. The considered model is of compressible turbulent reacting type where the turbulence-chemistry interactions are governed by additional balance equations. The system of PDE’s, that governs such a model, turns out to be in non-conservation form and usual numerical approaches grossly fail in the capture of viscous shock layers. Put in other words, classical finite...
Christophe Berthon, Didier Reignier (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The paper deals with the numerical resolution of the convection-diffusion system which arises when modeling combustion for turbulent flow. The considered model is of compressible turbulent reacting type where the turbulence-chemistry interactions are governed by additional balance equations. The system of PDE's, that governs such a model, turns out to be in non-conservation form and usual numerical approaches grossly fail in the capture of viscous shock layers. Put in other words, classical finite...
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
Yu, Jun, Yang, Yi, Campo, Antonio (2010)
Mathematical Problems in Engineering
Rajae Aboulaïch, Ilham Haggouch, Ali Souissi (2001)
International Journal of Applied Mathematics and Computer Science
A two-dimensional Stefan problem is usually introduced as a model of solidification, melting or sublimation phenomena. The two-phase Stefan problem has been studied as a direct problem, where the free boundary separating the two regions is eliminated using a variational inequality (Baiocchi, 1977; Baiocchi et al., 1973; Rodrigues, 1980; Saguez, 1980; Srunk and Friedman, 1994), the enthalpy function (Ciavaldini, 1972; Lions, 1969; Nochetto et al., 1991; Saguez, 1980), or a control problem (El Bagdouri,...
Santander, J.L.G., Porras, P.Castañeda, Isidro, J.M., De Córdoba, P.Fernández (2010)
Mathematical Problems in Engineering
Hassanzadeh, Hassan, Pooladi-Darvish, Mehran, Abedi, Jalal (2009)
Mathematical Problems in Engineering
Ignatieva, M. A., Lapin, A. V. (2003)
Lobachevskii Journal of Mathematics
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
Laitinen, E., Lapin, A. V., Pieskä, J. (2003)
Lobachevskii Journal of Mathematics
Jacques Audounet, Jean-Michel Roquejoffre, Hélène Rouzaud (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Jacques Audounet, Jean-Michel Roquejoffre, Hélène Rouzaud (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Beneš, M., Mikula, K. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Hosseini, M.J., Gorji, M., Ghanbarpour, M. (2009)
Mathematical Problems in Engineering
Mohyud-Din, Syed Tauseef (2009)
Mathematical Problems in Engineering
Ružena Apalovičová, Jozef Babirád (1977)
Kybernetika
E. El Guarmah, A. Cheddadi (2010)
Mathematical Modelling of Natural Phenomena
We present in this work a numerical study of a problem governed by Navier-Stokes equations and heat equation. The mathematical problem under consideration is obtained by modelling the natural convection of an incompressible fluid, in laminar flow between two horizontal concentric coaxial cylinders, the temperature of the inner cylinder is supposed to be greater than the outer one. The numerical simulation of the flow is carried out by collocation-Legendre...
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