Publications related to Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

Numerical Simulation of Orbitally Shaken Reactors

Mammalian cell cultures have become a major topic of research in the biopharmaceutical industry. This kind of cells requires specific conditions to grow. In this thesis, we study the hydrodynamics of orbitally shaken reactors (OSR), a recently introduced k ...

EPFL2012

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Joachim Krieger

In this paper we prove the global in time well-posedness of the following non-local diffusion equation with

\alpha\, \varepsilon [0, 2/3)

:

\partial_tu=\{(-\Delta)^{-1}u\}\Delta u+\alpha u^2, \,\, u(t=0)=u_0

. The initial condition

u_0

is positive, rad ...

2012

Efficient determination of diffusion coefficients by monitoring transport during recovery delays in NMR

Geoffrey Bodenhausen, Fabien Ferrage

A novel NMR approach allows one to efficiently determine translational diffusion coefficients of macromolecules in solution. This method for Signal Optimization with Recovery in Diffusion Delays (SORDID) monitors transport occurring during the recovery tim ...

2012

Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements

Azadeh Jafari

The research work reported in this dissertation is aimed to develop efficient and stable numerical schemes in order to obtain accurate numerical solution for viscoelastic fluid flows within the spectral element context. The present research consists in the ...

EPFL2011

Multi-component particle size segregation in shallow granular avalanches

Christophe Ancey

A general continuum theory for particle size segregation and diffusive remixing in polydisperse granular avalanches is formulated using mixture theory. Comparisons are drawn to existing segregation theories for bi-disperse mixtures and the case of a ternar ...

Cambridge University Press2011

An adaptive finite-volume method for a model of two-phase pedestrian flow

Ricardo Esteban Ruiz Baier

A flow composed of two populations of pedestrians moving in different directions is modeled by a two-dimensional system of convection-diffusion equations. An efficient simulation of the two-dimensional model is obtained by a finite-volume scheme combined w ...

American Institute of Mathematical Sciences2011

Analysis of a finite volume method for a cross-diffusion model in population dynamics

Ricardo Esteban Ruiz Baier

The main goal of this paper is to propose a convergent finite volume method for a reaction–diffusion system with cross-diffusion. First, we sketch an existence proof for a class of cross-diffusion systems. Then the standard two-point finite volume fluxes a ...

World Scientific Publishing2011

Improvement of the one-dimensional dissolved-solute convection equation using the QUICKEST-ULTIMATE algorithm

Rakesh Chawla, Davide Bertolotto

The U.S.-NRC best-estimate system code TRACE adopts a finite volumes, first-order upwind discretization scheme to solve the dissolved-solute convection equation. Such a scheme is known to strongly suffer from numerical diffusion, which can be a significant ...

Elsevier2011

Extended variational formulation for heterogeneous partial differential equations

Alfio Quarteroni

We address the coupling of an advection equation with a diffusion-advection equation, for solutions featuring boundary layers. We consider non-overlapping domain decompositions and we face up the heterogeneous problem using an extended variational formulat ...

2011

Physical and numerical modeling of harbors and shore protection measures / Modélisation physique et numérique de mesures de protection portuaires et d’aménagement de plages

Azin Amini, Fadi Hachem

The expansion project of the ‘’Port de la Nautique’’ and the creation of adjacent new beaches on the ‘’Lac Léman’’ in Geneva is currently under survey. In the conceptual and study phase, numerical- and physicalscaled models have been exploited at the Ecole ...

2010

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

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Numerical Simulation of Orbitally Shaken Reactors

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Efficient determination of diffusion coefficients by monitoring transport during recovery delays in NMR

Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements

Multi-component particle size segregation in shallow granular avalanches

An adaptive finite-volume method for a model of two-phase pedestrian flow

Analysis of a finite volume method for a cross-diffusion model in population dynamics

Improvement of the one-dimensional dissolved-solute convection equation using the QUICKEST-ULTIMATE algorithm

Extended variational formulation for heterogeneous partial differential equations

Physical and numerical modeling of harbors and shore protection measures / Modélisation physique et numérique de mesures de protection portuaires et d’aménagement de plages

Improvement of the one-dimensional dissolved-solute convection equation using the QUICKEST-ULTIMATE algorithm

Extended variational formulation for heterogeneous partial differential equations

Numerical Simulation of Orbitally Shaken Reactors

Analysis of a finite volume method for a cross-diffusion model in population dynamics

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Efficient determination of diffusion coefficients by monitoring transport during recovery delays in NMR

An adaptive finite-volume method for a model of two-phase pedestrian flow

Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements

Multi-component particle size segregation in shallow granular avalanches

Physical and numerical modeling of harbors and shore protection measures / Modélisation physique et numérique de mesures de protection portuaires et d’aménagement de plages