A semidiscretization scheme for a phase-field type model for solidification.
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Displaying 1 – 19 of 19
Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties.
Bokhari, Ashfaque H., Mohammad, Ghulam, Mustafa, M.T., Zaman, F.D. (2009)
Mathematical Problems in Engineering
An approximate nonlinear projection scheme for a combustion model
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...
An approximate nonlinear projection scheme for a combustion model
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...
Application of the multigrid methods for solving Stefan problem
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
Approximate solution of the nonlinear heat conduction equation in a semi-infinite domain.
Yu, Jun, Yang, Yi, Campo, Antonio (2010)
Mathematical Problems in Engineering
Approximation of a solidification problem
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,...
Calculation of some integrals arising in heat transfer in geothermics.
Santander, J.L.G., Porras, P.Castañeda, Isidro, J.M., De Córdoba, P.Fernández (2010)
Mathematical Problems in Engineering
Improving accuracy of coarse grid numerical solution of solid-solid reactions by Taylor series expansion of the reaction term.
Hassanzadeh, Hassan, Pooladi-Darvish, Mehran, Abedi, Jalal (2009)
Mathematical Problems in Engineering
Mixed hybrid finite element scheme for Stefan problem with prescribed convection.
Ignatieva, M. A., Lapin, A. V. (2003)
Lobachevskii Journal of Mathematics
Multigrid solution of a two-phase Stefan problem with prescribed convection
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
Numerical experiments with multilevel subdomain decomposition method.
Laitinen, E., Lapin, A. V., Pieskä, J. (2003)
Lobachevskii Journal of Mathematics
Numerical simulation of a point-source initiated flame ball with heat losses
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.
Numerical simulation of a point-source initiated flame ball with heat losses
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.
Simulation of anisotropic motion by mean curvature -- comparison of phase field and sharp interface approaches.
Beneš, M., Mikula, K. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Solution of temperature distribution in a radiating fin using homotopy perturbation method.
Hosseini, M.J., Gorji, M., Ghanbarpour, M. (2009)
Mathematical Problems in Engineering
Solving heat and wave-like equations using He's polynomials.
Mohyud-Din, Syed Tauseef (2009)
Mathematical Problems in Engineering
Solving of heat shock on a hybrid system
Ružena Apalovičová, Jozef Babirád (1977)
Kybernetika
Spectral Numerical Study of a Problem Governed by Navier-Stokes Equations, Influence of Rayleigh and Prandtl Numbers
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...
Currently displaying 1 – 19 of 19
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