Publications related to The nature and role of advection in advection-diffusion equations used for modelling bed load transport

Dynamics of particles with anisotropic mass depending on time and position

Representations of solutions of equations describing the diffusion and quantum dynamics of particles in a Riemannian manifold are discussed under the assumption that the mass of particles is anisotropic and depends on both time and position. These equation ...

Springer Verlag2015

A microstructural approach to bed load transport: mean behaviour and fluctuations of particle transport rates

Christophe Ancey, Joris Heyman

This paper concerns a model of bed load transport, which describes the advection and dispersion of coarse particles carried by a turbulent water stream. The challenge is to develop a microstructural approach that, on the one hand, yields a parsimonious des ...

Cambridge University Press2014

Sediment transport in mountain rivers

Christophe Ancey, Eric Bardou

The paper reviews our recent attempts at modelling bed load transport in mountain rivers. This is a longstanding issue that has attracted considerable attention over the last century. While a number of field and laboratory studies have been instrumental in ...

2014

A study of the spatio-temporal behaviour of bed load transport rate fluctuations

Joris Heyman

This thesis addresses the problem of a statistical description of the transport of sediment as bed load. It highlights the role of fluctuations arising during the transport process, and their impact on macroscopic averages. The results presented here are b ...

EPFL2014

Isogeometric numerical simulation of solute dynamics in blood flows

Andrea Di Blasio

Solutes and drugs are transported in the circulatory system by the blood for which absorption processes occur at the arterial walls. The comprehension, modeling, and numerical simulation of these phenomena, both in physiological and pathological conditions ...

2013

Sediment Suspension Dynamics in Turbulent Unsteady, Depth-Varying Open-Channel Flow over a Gravel Bed

Fereshteh Bagherimiyab Hunkeler

Even though flow in natural rivers and channels is generally unsteady, only a few studies on turbulent structures in unsteady open-channel flows have been carried out. In hydraulic engineering problems, unsteady flow is often approximated with concepts of ...

EPFL2012

Fractional Brownian motion and anomalous diffusion in vibrated granular materials

Daniele Mari, Gérard Gremaud, Alessandro Luigi Sellerio

We propose a new approach to the study of diffusion dynamics in vibrated granular systems. The dynamic of a granular material is mainly defined by dry friction interactions. This type of interaction is difficult to model for a large quantity of particles. ...

2012

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

Crowding, Intermolecular Interactions, and Shear Flow Effects in the Diffusion Model of Chemical Reactions

Nicolas Dorsaz, Giuseppe Foffi, Francesco Piazza

In the diffusion model of chemical reactions, the encounter (reaction) rate between reactant particles is governed by the Smoluchowski equation, which is a diffusion equation in a field of forces. We consider crowded environments where the particles diffus ...

2011

A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion

Ricardo Esteban Ruiz Baier

An epidemic model is formulated by a reaction–diffusion system where the spatial pattern formation is driven by cross-diffusion. The reaction terms describe the local dynamics of susceptible and infected species, whereas the diffusion terms account for the ...

Elsevier2011

The nature and role of advection in advection-diffusion equations used for modelling bed load transport

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Dynamics of particles with anisotropic mass depending on time and position

A microstructural approach to bed load transport: mean behaviour and fluctuations of particle transport rates

Sediment transport in mountain rivers

A study of the spatio-temporal behaviour of bed load transport rate fluctuations

Isogeometric numerical simulation of solute dynamics in blood flows

Sediment Suspension Dynamics in Turbulent Unsteady, Depth-Varying Open-Channel Flow over a Gravel Bed

Fractional Brownian motion and anomalous diffusion in vibrated granular materials

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

Crowding, Intermolecular Interactions, and Shear Flow Effects in the Diffusion Model of Chemical Reactions

A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion

Isogeometric numerical simulation of solute dynamics in blood flows

Crowding, Intermolecular Interactions, and Shear Flow Effects in the Diffusion Model of Chemical Reactions

A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion

Sediment Suspension Dynamics in Turbulent Unsteady, Depth-Varying Open-Channel Flow over a Gravel Bed

Sediment transport in mountain rivers

A study of the spatio-temporal behaviour of bed load transport rate fluctuations

A microstructural approach to bed load transport: mean behaviour and fluctuations of particle transport rates

Fractional Brownian motion and anomalous diffusion in vibrated granular materials

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

Dynamics of particles with anisotropic mass depending on time and position