Mixed hybrid finite element scheme for Stefan problem with prescribed convection.
Model of pulverized coal combustion in a furnace
We describe behavior of the air-coal mixture using the Navier–Stokes equations for gas and particle phases, accompanied by a turbulence model. The undergoing chemical reactions are described by the Arrhenian kinetics (reaction rate proportional to where is temperature). We also consider the heat transfer via conduction and radiation. Moreover we use improved turbulence-chemistry interactions for reaction terms. The system of PDEs is discretized using the finite volume method (FVM) and an advection...
Model of shell metal mould heating in the automotive industry
This article focuses on heat radiation intensity optimization on the surface of a shell metal mould. Such moulds are used in the automotive industry in the artificial leather production (the artificial leather is used, e.g., on car dashboards). The mould is heated by infrared heaters. After the required temperature is attained, the inner mould surface is sprinkled with special PVC powder. The powder melts and after cooling down it forms the artificial leather. A homogeneous temperature field of...
Modeling of the radial heat flow and cooling processes in a deep ultraviolet CuNe-CuBr laser.
Modelli di phase-field conservati con memoria nello spazio delle storie
Modelling fluid flow and heat transfer in a saturated porous medium.
Modelling of convective phenomena in forest fire.
We present a model coupling the fire propagation equations in a bidimensional domain representing the surface, and the air movement equations in a three dimensional domain representing an air layer. As the air layer thickness is small compared with its length, an asymptotic analysis gives a three dimensional convective model governed by a bidimensional equation verified by a stream function. We also present the numerical simulations of these equations.
Modelling of free boundary problems for phase change with diffuse interfaces.
Modelling of the Czochralski flow.
Models for phase separation and their mathematics.
Modulational instability stabilization via complex Whitham deformations: Nonlinear Schrödinger equation
Monotone Iterative Methods for Finite Difference System of Reaction-Diffusion Equations.
Motion of spirals by crystalline curvature
Motion of spirals by crystalline curvature
Modern physics theories claim that the dynamics of interfaces between the two-phase is described by the evolution equations involving the curvature and various kinematic energies. We consider the motion of spiral-shaped polygonal curves by its crystalline curvature, which deserves a mathematical model of real crystals. Exploiting the comparison principle, we show the local existence and uniqueness of the solution.
Motion planning for a nonlinear Stefan problem
In this paper we consider a free boundary problem for a nonlinear parabolic partial differential equation. In particular, we are concerned with the inverse problem, which means we know the behavior of the free boundary a priori and would like a solution, e.g. a convergent series, in order to determine what the trajectories of the system should be for steady-state to steady-state boundary control. In this paper we combine two issues: the free boundary (Stefan) problem with a quadratic nonlinearity....
Motion Planning for a nonlinear Stefan Problem
In this paper we consider a free boundary problem for a nonlinear parabolic partial differential equation. In particular, we are concerned with the inverse problem, which means we know the behavior of the free boundary a priori and would like a solution, e.g. a convergent series, in order to determine what the trajectories of the system should be for steady-state to steady-state boundary control. In this paper we combine two issues: the free boundary (Stefan) problem with a quadratic nonlinearity....
Moving heat source reconstruction from the Cauchy boundary data.
Multidisciplinary design optimization of film-cooled gas turbine blades.
Multigrid solution of a two-phase Stefan problem with prescribed convection
Multiple objective optimization of hydro-thermal systems using Ritz's method.