Publications related to LDP and CLT for SPDEs with transport noise

Numerical approximation of the Navier-Stokes-Forchheimer equations and application to a passive flow control problem

The modeling of an incompressible fluid through a porous medium requires to deal with two systems of partial differential equations (PDEs) for the two types of media (fluid and porous). A possible way to couple theses two equations is by using the penaliza ...

2015

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

Alfio Quarteroni

A system of differential equations for coupled fluid and drug transport in vascularized (malignant) tissues is derived by a multiscale expansion. We start from mass and momentum balance equations, stated in the physical domain, geometrically characterized ...

World Scientific Publishing2015

Numerical simulation of 3D free surface flows, with multiple incompressible immiscible phases. Applications to impulse waves

Marco Picasso, Alexandre Caboussat

A numerical method for the solution to the density-dependent incompressible Navier-Stokes equations modeling the flow of N immiscible incompressible liquid phases with a free surface is proposed. It allows to model the flow of an arbitrary number of liquid ...

Wiley-Blackwell2014

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

Solving Stochastic Ordinary Differential Equations by Monte Carlo and Polynomial Chaos

Gilles Brunner

In this project, we study and compare two methods to solve stochastic ordinary differential equations. The first is the Monte Carlo method and the second uses Polynomial Chaos. In the first part, we will solve a stochastic ordinary differential equation by ...

2013

Moments, Intermittency, and Growth Indices for Nonlinear Stochastic PDE's with Rough Initial Conditions

Le Chen

In this thesis, we study several stochastic partial differential equations (SPDE’s) in the spatial domain R, driven by multiplicative space-time white noise. We are interested in how rough and unbounded initial data affect the random field solution and the ...

EPFL2013

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan

The identification of kinetic models is an important step for the monitoring, control and optimization of industrial processes. This is particularly the case for highly competitive business sectors such as chemical and pharmaceutical industries, where the ...

2013

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Adelmo Cristiano Innocenza Malossi

The aim of this work is the development of a geometrical multiscale framework for the simulation of the human cardiovascular system under either physiological or pathological conditions. More precisely, we devise numerical algorithms for the partitioned so ...

EPFL2012

Numerical methods for stochastic partial differential equations with multiple scales

Assyr Abdulle, Grigorios A. Pavliotis

A new method for solving numerically stochastic partial differential equations (SPDEs) with multiple scales is presented. The method combines a spectral method with the heterogeneous multiscale method (HMM) presented in [W. E, D. Liu, E. Vanden-Eijnden, An ...

2012

LDP and CLT for SPDEs with transport noise

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Numerical approximation of the Navier-Stokes-Forchheimer equations and application to a passive flow control problem

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

Numerical simulation of 3D free surface flows, with multiple incompressible immiscible phases. Applications to impulse waves

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

Solving Stochastic Ordinary Differential Equations by Monte Carlo and Polynomial Chaos

Moments, Intermittency, and Growth Indices for Nonlinear Stochastic PDE's with Rough Initial Conditions

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

Numerical methods for stochastic partial differential equations with multiple scales

Numerical approximation of the Navier-Stokes-Forchheimer equations and application to a passive flow control problem

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

Numerical simulation of 3D free surface flows, with multiple incompressible immiscible phases. Applications to impulse waves

Moments, Intermittency, and Growth Indices for Nonlinear Stochastic PDE's with Rough Initial Conditions

Incremental Model Identification of Fluid-Fluid Reaction Systems – Dynamic Accumulation and Reactions in the Diffusion Layer

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Numerical methods for stochastic partial differential equations with multiple scales

Partitioned Solution of Geometrical Multiscale Problems for the Cardiovascular System

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

Solving Stochastic Ordinary Differential Equations by Monte Carlo and Polynomial Chaos