Publications related to Convection–diffusion equation

A physics-based model for wind turbine wake expansion in the atmospheric boundary layer

Analytical wind turbine wake models are widely used to predict the wake velocity deficit. In these models, the wake growth rate is a key parameter specified mainly with empirical formulations. In this study, a new physics-based model is proposed and valida ...

2022

A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations

Assyr Abdulle, Giacomo Rosilho De Souza

We introduce a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. The proposed method is based on a coarse grid and iteratively improves the solution's accuracy by solving local elliptic problems in refined subdomains ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2022

Accounting for Optical Generation in the Quasi-Neutral Regions of Perovskite Solar Cells

Jean-Michel Sallese, Farzan Jazaeri, Parnian Ferdowsi, Michael Saliba

Predicting the performance of solar cells though analytical models is important for the theory-guided optimization of these devices. Earlier models neglect the impact of the optical generation in the quasi-neutral regions of a perovskite solar cell. Here, ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

The power of adaptivity in source identification with time queries on the path

Patrick Thiran, Gergely Odor, Victor Cyril L Lecomte

We study the problem of identifying the source of a stochastic diffusion process spreading on a graph based on the arrival times of the diffusion at a few queried nodes. In a graph

G=(V,E)

, an unknown source node

v^* \in V

is drawn uniformly at random, ...

2022

Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves

Maria Colombo, Camillo De Lellis

The seminal work of DiPerna and Lions (Invent Math 98(3):511-547, 1989) guarantees the existence and uniqueness of regular Lagrangian flows for Sobolev vector fields. The latter is a suitable selection of trajectories of the related ODE satisfying addition ...

2021

Numerical simulation of sediment dynamics with free surface flows

Arwa Mrad

We present a numerical model for the simulation of 3D mono-dispersed sediment dynamics in a Newtonian flow with free surfaces. The physical model is a macroscopic model for the transport of sediment based on a sediment concentration with a single momentum ...

EPFL2021

CO2-Driven diffusiophoresis and water cleaning: similarity solutions for predicting the exclusion zone in a channel flow

Mrudhula Baskaran

We investigate experimentally and theoretically diffusiophoretic separation of negatively charged particles in a rectangular channel flow, driven by CO2 dissolution from one side-wall. Since the negatively charged particles create an exclusion zone near th ...

ROYAL SOC CHEMISTRY2021

Development of free-boundary equilibrium and transport solvers for simulation and real-time interpretation of tokamak experiments

Francesco Carpanese

To exploit fusion as a source of energy, a hot and dense confined plasma is needed. This is achieved in tokamaks by actively controlling the plasma state meaning shape, position and internal kinetic profiles. This thesis addresses two topics: the developme ...

EPFL2021

Entropic Fokker-Planck kinetic model

Mohammadhossein Gorji

The diffusion limit of kinetic systems has been subject of numerous studies since prominent works of Lebowitz et al. [1] and van Kampen [2]. More recently, the topic has seen a fresh interest from the rarefied gas simulation perspective. In particular, Fok ...

2021

Mixing and diffusion for rough shear flows

Maria Colombo, Klaus Martin Widmayer

This article addresses mixing and diffusion properties of passive scalars advected by rough (

C^\alpha

) shear flows. We show that in general, one cannot expect a rough shear flow to increase the rate of inviscid mixing to more than that of a smooth shear ...

2021

Convection–diffusion equation

Graph Chatbot

Chat with Graph Search

A physics-based model for wind turbine wake expansion in the atmospheric boundary layer

A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations

Accounting for Optical Generation in the Quasi-Neutral Regions of Perovskite Solar Cells

The power of adaptivity in source identification with time queries on the path

Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves

Numerical simulation of sediment dynamics with free surface flows

CO2-Driven diffusiophoresis and water cleaning: similarity solutions for predicting the exclusion zone in a channel flow

Development of free-boundary equilibrium and transport solvers for simulation and real-time interpretation of tokamak experiments

Entropic Fokker-Planck kinetic model

Mixing and diffusion for rough shear flows

A physics-based model for wind turbine wake expansion in the atmospheric boundary layer

Development of free-boundary equilibrium and transport solvers for simulation and real-time interpretation of tokamak experiments

Numerical simulation of sediment dynamics with free surface flows

Mixing and diffusion for rough shear flows

Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves

The power of adaptivity in source identification with time queries on the path

Entropic Fokker-Planck kinetic model

A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations

Accounting for Optical Generation in the Quasi-Neutral Regions of Perovskite Solar Cells

CO2-Driven diffusiophoresis and water cleaning: similarity solutions for predicting the exclusion zone in a channel flow