Cooling of a plate with general boundary conditions.
Correctors and error estimates in the homogenization of a Mullins–Sekerka problem
Coupled heat transport and Darcian water flow in freezing soils
The model of coupled heat transport and Darcian water flow in unsaturated soils and in conditions of freezing and thawing is analyzed. In this contribution, we present results concerning the existence of the numerical solution. Numerical scheme is based on semi-implicit discretization in time. This work illustrates its performance for a problem of freezing processes in vertical soil columns.
Coupling of chemical reaction with flow and molecular transport
During the last years the interest in the numerical simulation of reacting flows has grown considerably. Numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. However, the use of detailed physical and chemical models, involving more than 100 chemical species, and thus more than 100 species conservation equations, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple geometries,...
Co-volume methods for degenerate parabolic problems.
Darcy's law in anisothermic porous medium.
Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation.
Definitions of standard stress and standard heat flux, in simple bodies, treated according to Mach and Painlevé
Derivation of a homogenized two-temperature model from the heat equation
This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential equations governing the evolution of the temperature of each phase at a macroscopic level of description. The coupling terms describing the exchange of heat between the phases are obtained by using homogenization techniques originating from [D. Cioranescu, F. Murat,...
Diffuse-interface treatment of the anisotropic mean-curvature flow
We investigate the motion by mean curvature in relative geometry by means of the modified Allen-Cahn equation, where the anisotropy is incorporated. We obtain the existence result for the solution as well as a result concerning the asymptotical behaviour with respect to the thickness parameter. By means of a numerical scheme, we can approximate the original law, as shown in several computational examples.
Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model
Modeling the kinetics of a precipitation dissolution reaction occurring in a porous medium where diffusion also takes place leads to a system of two parabolic equations and one ordinary differential equation coupled with a stiff reaction term. This system is discretized by a finite volume scheme which is suitable for the approximation of the discontinuous reaction term of unknown sign. Discrete solutions are shown to exist and converge towards a weak solution of the continuous problem. Uniqueness...
Direct approach to mean-curvature flow with topological changes
This contribution deals with the numerical simulation of dislocation dynamics. Dislocations are described by means of the evolution of a family of closed or open smooth curves , . The curves are driven by the normal velocity which is the function of curvature and the position. The evolution law reads as: . The motion law is treated using direct approach numerically solved by two schemes, i. e., backward Euler semi-implicit and semi-discrete method of lines. Numerical stability is improved...
Dos algoritmos para la resolución numérica de una ecuación parabólica casi-lineal.
Dynamic optimal cooling control for continuous casting of steel
Dynamic pressure in relativistic thermodynamics
Dynamics of a system of nonlinear differential equations.
Effects of magnetic field and nonlinear temperature profile on Marangoni convection in micropolar fluid.
Effects of modulation on Rayleigh-Benard convection. I.
Effects of slip and heat generation/absorption on MHD mixed convection flow of a micropolar fluid over a heated stretching surface.
Ein Gewisses Randproblem aus der Theorie der Wärmeleitfähigkeit