Publications associées à High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography

One- and two-step semi-Lagrangian integrators for arbitrary Lagrangian-Eulerian-finite element two-phase flow simulations

John Richard Thome, Gustavo Rabello Dos Anjos, Gustavo Charles Peixoto de Oliveira

Semi-Lagrangian (SL) schemes are of utmost relevance to simulate two-phase flows where advection dominates. The combination of SL schemes with the finite element (FE) method and arbitrary Lagrangian-Eulerian (ALE) dynamic meshes yields a strong ingredient ...

WILEY2022

Finite Particle Flow Simulation of Free Jet Deviation by Rotating Pelton Buckets

Christian Vessaz

The prediction of hydraulic machines performances is of high interest to manufacturers in today's highly competitive market for new development or refurbishment of hydraulic power plant. An accurate prediction of the machines performances by numerical simu ...

EPFL2015

On the coupling between an ideal fluid and immersed particles

Mathieu Desbrun, Tudor Ratiu

In this paper, we present finite-dimensional particle-based models for fluids which respect a number of geometric properties of the Euler equations of motion. Specifically, we use Lagrange-Poincare reduction to understand the coupling between a fluid and a ...

Elsevier2013

On the stability of travelling waves with vorticity obtained by minimization

Boris Buffoni

We modify the approach of Burton and Toland Comm. Pure Appl. Math. LXIV. 975-1007 (2011) to show the existence of periodic surface water waves with vorticity in order that it becomes suited to a stability analysis. This is achieved by enlarging the functio ...

Springer Basel2013

Partitioned Algorithms for Fluid-Structure Interaction Problems in Haemodynamics

Fabio Nobile, Christian Vergara

We consider the fluid-structure interaction problem arising in haemodynamic applications. The finite elasticity equations for the vessel are written in Lagrangian form, while the Navier-Stokes equations for the blood in Arbitrary Lagrangian Eulerian form. ...

Birkhäuser-Verlag, Springer2012

An active strain electromechanical model for cardiac tissue

Fabio Nobile, Alfio Quarteroni, Ricardo Esteban Ruiz Baier

We propose a finite element approximation of a system of partial differential equations describing the coupling between the propagation of electrical potential and large deformations of the cardiac tissue. The underlying mathematical model is based on the ...

Wiley2012

Generalized Flows Satisfying Spatial Boundary Conditions

Boris Buffoni

In a region D in R-2 or R-3, the classical Euler equation for the regular motion of an inviscid and incompressible fluid of constant density is given by partial derivative(t)v + (v . del(x))v = -del(xP), div(x)v = 0, where v(t, x) is the velocity of the pa ...

Birkhäuser-Verlag, Springer2012

Full-field drift Hamiltonian particle orbits in axisymmetric tokamak geometry

Wilfred Anthony Cooper, Jonathan Graves

A Hamiltonian/Lagrangian theory to describe guiding center orbit drift motion that is canonical in Boozer magnetic coordinates is developed to include full electrostatic and electromagnetic perturbed fields in axisymmetric tokamak geometry. Furthermore, th ...

American Institute of Physics (AIP)2011

Full-field drift Hamiltonian particle orbits in 3D geometry

Stephan Brunner, Wilfred Anthony Cooper, Jonathan Graves

A Hamiltonian/Lagrangian theory to describe guiding centre orbit drift motion which is canonical in the Boozer coordinate frame has been extended to include full electromagnetic perturbed fields in anisotropic pressure 3D equilibria with nested magnetic fl ...

IOP2011

Free-surface fluid dynamics on moving domains

Thomas Zimmermann, Matthias Preisig

This paper presents a Lagrangian approach for the simulation of two-dimensional free-surface flows along with a systematic validation. Fluid-flow is traditionally modeled using an Eulerian description in association with finite differences and, more recent ...

2011

On A Class Of Mean Field Solutions Of The Monge Problem For Perfect And Self-Interacting Systems

Philippe Choquard

The Monge problem (Monge 1781; Taton 1951), as reformulated by Kantorovich (2006a, 2006b) is that of the transportation at a minimum "cost" of a given mass distribution from an initial to a final position during a given time interval. It is an optimal tran ...

2010

A New Lagrangian Dynamic Reduction In Field Theory

Tudor Ratiu, François Gay-Balmaz

For symmetric classical field theories on principal bundles there are two methods of symmetry reduction: covariant and dynamic. Assume that the classical field theory is given by a symmetric covariant Lagrangian density defined on the first jet bundle of a ...

2010

Appraisal of energy recovering sub-grid scale models for large-eddy simulation of turbulent dispersed flows

Alfredo Soldati

Current capabilities of Large-Eddy Simulation (LES) in Eulerian-Lagrangian studies of dispersed flows are limited by the modeling of the Sub-Grid Scale (SGS) turbulence effects on particle dynamics. These effects should be taken into account in order to re ...

Springer Vienna2008