DIALNET OAI Articles
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Mathematical Modelling in Food Engineering - Infante del Río, Juan-Antonio; Ivorra, Benjamín; Ramos del Olmo, Angel Manuel; Rey Cabezas, José María; Smith, Nadia; Fraguela, Andrés
This work deals with the modelling and simulation of the effect of the combination of thermal and high pressure processes, focusing on the inactivation that occurs during the process of certain enzymes and microorganisms that are harmful to food. We propose various mathematical models that study the behavior of these enzymes and microorganisms during and after the process, and study some related inverse problems.
On an electrothermomechanical model arising in steel heat treating - Díaz Moreno, José Manuel; García Vázquez, Concepción; González Montesinos, María Teresa; Ortegón Gallego, Francisco
Steel heat treating is very important for many industrial purposes. In this paper, we describe a mathematical model for the heating-cooling process of a steel workpiece leading to the desired hardness. The resulting model consist of a strongly coupled nonlinear system of PDEs/ODEs. A simpler version of this model is used for the numerical simulation of the hardening process of a car steering rack.
An eddy current problem related to electromagnetic forming - Bermúdez de Castro López-Varela, Alfredo; Muñoz Sola, Rafael; Salgado Rodríguez, Pilar; Reales, Carlos; Rodríguez, Rodolfo
Electromagnetic forming is a high velocity cold forming process for electrically conductive materials. The aim of this paper is to analyze a numerical method to solve a transient axisymmetric eddy current problem arising from mathematical modelling of the process. We deal with a degenerate parabolic partial differential equation. Well-posedness can be proved by using regularization arguments. For numerical solution, a finite element method in space combined with an implicit Euler time discretization is proposed. Error estimates are obtained and numerical results are shown.
A selection of mathematical topics in multiscale sciences - Le Bris, Claude
We present here some basic elements of the mathematical theory for three different contexts of multiscale simulation: homogenization theory for elliptic equations, atomistic to continuum models for elastic materials, and micro-macro models for polymeric fluids. The exposition is pedagogic and elementary. Both theoretical and numerical aspects are addressed.