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On a 2-Dimensional Magnetohydrodynamic Problem .1. Modeling and Analysis

Related publications (32)

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This work is focused on the development of a geometrical multiscale framework for modeling the human cardiovascular system. This approach is designed to deal with different geometrical and mathematical models at the same time, without any preliminary hypot ...

2011

Mathematical modelling of swirling flow in hydraulic turbines for the full operating range

François Avellan

We introduce and validate a novel mathematical model for computing the radial profiles of both axial and circumferential velocity components, respectively, of the swirling flow exiting the runner of hydraulic turbines within the full operating range. We as ...

Elsevier2011

In this work we present a mathematical model of the evolution of aeolian sand dunes, in particular we consider the case of dunes formed by a mixture of sands with different characteristics. We first recall a basic model for the evolution of two dimensional ...

2011

Some Mathematical and Numerical Aspects in Aluminum Production

Jacques Rappaz, Marco Picasso, Gilles Steiner, Christophe Laurent

In this paper, we present a mathematical modeling of some magnetohydrodynamic effects arising in an aluminum production cell as well as its numerical approximation by a finite element method. We put the emphasis on the magnetic effects which live in the wh ...

Springer US2010

In a previous recent paper we discussed the limitations of the Fourier-based model in the prediction of visible moiré effects. Here, we extend the discussion to other mathematical models that are also being used in the moiré theory: the classical indicial ...

2010

Efficient Solution of Fluid-Structure Interaction Problems in Computational Hemodynamics

Alfio Quarteroni, Simone Deparis, Paolo Crosetto

Cardiovascular diseases are the first cause of death in industrialized countries. It is now widely established that blood fluid dynamics and its interaction with the vascular wall play an essential role in the development and evolution of vascular patholog ...

American Institute of Physics2010

Lifelong dynamics of human CD4+CD25+ regulatory T cells: Insights from in vivo data and mathematical modeling

Jean-Yves Le Boudec, Irina Baltcheva

Despite their limited proliferation capacity, regulatory T cells (T(regs)) constitute a population maintained over the entire lifetime of a human organism. The means by which T(regs) sustain a stable pool in vivo are controversial. Using a mathematical mod ...

Elsevier2010

Simulation numérique de phénomènes MHD

Gilles Steiner

The purpose of this thesis is the study, from the numerical simulation point of view, of the aluminum electrolysis process. Navier-Stokes equations for the computation of a two fluids flow with free interface are coupled with Maxwell equations describing t ...

EPFL2009

Reduced Basis Method for Parametrized Differential Algebraic Equations

Alfio Quarteroni, Luca Dede'

Parametrized systems of Differential Algebraic Equations (DAEs) stand at the base of several mathematical models in Microelectronics, Computational Fluid Dynamics and other Engineering fields. Since the dimension of these systems can be huge, high computat ...

2009

Three-dimensional fluid simulations of a simple magnetized plasma

Paolo Ricci

Three-dimensional fluid simulations are performed in a simple magnetized toroidal plasma, in which vertical and toroidal magnetic fields create helicoidal magnetic field lines that terminate on the torus vessel. The simulations are carried out in the three ...

AIP2009