Francisco de la Hoz (2012)
ESAIM: Proceedings
Similarity:
This paper describes a numerical method for the two-dimensional sine-Gordon equation over a rectangular domain using differentiation matrices, in the theoretical frame of matrix differential equations.
Antoine Bourgeade, Boniface Nkonga (2011)
ESAIM: Proceedings
Similarity:
In order to get the fusion of small capsules containing a deuterium-tritium nuclear fuel, the MegaJoule laser (LMJ) will focus a large number of laser beams inside a cylinder (Hohlraum) which contains the fusion capsule. In order to control this process we have to know as well as possible the electromagnetic field created by the laser beams on both Hohlraum’s apertures. This article describes a numerical tool which computes this electromagnetic...
Jean–Marc Mounsamy, Jacques Laminie, Pascal Poullet (2012)
ESAIM: Proceedings
Similarity:
We show first results of 3D simulation of sea currents in a realistic context. We use the full Navier–Stokes equations for incompressible viscous fluid. The problem is solved using a second order incremental projection method associated with the finite volume of the staggered (MAC) scheme for the spatial discretization. After validation on classical cases, it is used in a numerical simulation of the Pointe à Pitre harbour area. The use of the fictious domain method permits us to take...
Vuk Milišić, Amélie Rambaud, Kirill Pichon Gostaf (2010)
ESAIM: Proceedings
Similarity:
This work aims to extend in two distinct directions results recently obtained in [10]. In a first step we focus on the possible extension of our results to the time dependent case. Whereas in the second part some preliminary numerical simulations aim to give orders of magnitudes in terms of numerical costs of direct 3D simulations. We consider, in the first part, the time dependent rough problem for a simplified heat equation in a straight channel...
Pierre Gabriel, Léon Matar Tine (2010)
ESAIM: Proceedings
Similarity:
Polymerization of proteins is a biochemical process involved in different diseases. Mathematically, it is generally modeled by aggregation-fragmentation-type equations. In this paper we consider a general polymerization model and propose a high-order numerical scheme to investigate the behavior of the solution. An important property of the equation is the mass conservation. The WENO scheme is built to preserve the total mass of proteins ...
Carla L. Dias (2012)
ESAIM: Proceedings
Similarity:
We discuss the geometric structures defined by Young in [9, 10], which are used to prove the existence of an ergodic absolutely continuous invariant probability measure and to study the decay of correlations in expanding or hyperbolic systems on large parts.
L. Boudin, C. Grandmont, B. Grec, D. Yakoubi (2010)
ESAIM: Proceedings
Similarity:
In this work, we investigate the influence of a spray evolving in the air, in the respiration framework. We consider two kinds of situations: a moving spray in a motionless fluid, and motionless particles in a Poiseuille flow. We observe that the spray retroaction may not be neglected in some situations which can really happen, for instance, when one considers rather big particles, as it is possible for polluting particles and even for...