Publications by Jacques Rappaz

A mixture model for a dilute dispersion of gas in a liquid flow: Mathematical analysis and application to aluminium electrolysis

Jacques Rappaz, Marco Picasso, Emile Tryphon Pierre Soutter

A mixture model to take into account the flow of small carbon dioxide bubbles dissolved in a liquid is presented. The model describes the evolution of the velocity fields (mixture and gas), the pressure and the volume fraction of gas. The system of equatio ...

2021

On Some Weighted Stokes Problems. Application on Smagorinsky Models

Jacques Rappaz, Jonathan Rochat

In this paper we study existence and uniqueness of weak solutions for some non-linear weighted Stokes problems using convex analysis. The characteri- zation of these considered equations is that the viscosity depends on the strain rate of the velocity fiel ...

Springer2016

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

Jacques Rappaz, Stéphane Flotron

In this article, we present a numerical scheme based on a finite element method in order to solve a time-dependent convection-diffusion equation problem and satisfy some conservation properties. In particular, our scheme is able to conserve the total energ ...

EDP Sciences2013

Numerical simulation of two-phase flow with interface tracking by adaptive Eulerian grid subdivision

Jacques Rappaz, Alexandre Caboussat, Pascal Clausen

A numerical model for the simulation of three-dimensional liquid-gas flow with free surfaces is presented. The incompressible Navier-Stokes equations are assumed to hold in the liquid domain, while the surrounding gas is assumed to be compressible, with co ...

2012

Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach

Jacques Rappaz, Guillaume Jouvet, Heinz Blatter

The existence of solutions of the non-sliding shallow-ice-sheet equation on a flat horizontal bed with a mass balance linearly depending on altitude is proven for fixed margins. Free-margin solutions for the same mass balance do not exist. Fixed-margin sol ...

International Glaciological Society2011

Modelling and Numerical Simulation of the Dynamics of Glaciers Including Local Damage Effects

Jacques Rappaz, Marco Picasso, Martin Funk

A numerical model to compute the dynamics of glaciers is presented. Ice damage due to cracks or crevasses can be taken into account whenever needed. This model allows simulations of the past and future retreat of glaciers, the calving process or the break- ...

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

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Jacques Rappaz, Alexandre Caboussat, Christian Landry

The numerical analysis of a dynamic constrained optimization problem is presented. It consists of a global minimization problem that is coupled with a system of ordinary differential equations. The activation and the deactivation of inequality constraints ...

2010

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Jacques Rappaz

A mixture model for a dilute dispersion of gas in a liquid flow: Mathematical analysis and application to aluminium electrolysis

On Von Karman Modeling For Turbulent Flow Near A Wall

On Some Weighted Stokes Problems. Application on Smagorinsky Models

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

Numerical simulation of two-phase flow with interface tracking by adaptive Eulerian grid subdivision

Modelling and mathematical results arising from ferromagnetic problems

Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach

Modelling and Numerical Simulation of the Dynamics of Glaciers Including Local Damage Effects

Some Mathematical and Numerical Aspects in Aluminum Production

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

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On Von Karman Modeling For Turbulent Flow Near A Wall

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

A mixture model for a dilute dispersion of gas in a liquid flow: Mathematical analysis and application to aluminium electrolysis

Numerical simulation of two-phase flow with interface tracking by adaptive Eulerian grid subdivision

Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach

On Some Weighted Stokes Problems. Application on Smagorinsky Models

Modelling and Numerical Simulation of the Dynamics of Glaciers Including Local Damage Effects

Modelling and mathematical results arising from ferromagnetic problems

Optimization Problem Coupled with Differential Equations: A Numerical Algorithm Mixing an Interior-Point Method and Event Detection

Some Mathematical and Numerical Aspects in Aluminum Production