Congrès d'Analyse Numérique pour les Jeunes - 2020

Session

Session parallèle 3

4

3 déc. 2020, 10:00

Zoom (Virtual)

Description

CLIQUER ICI POUR REJOINDRE LA SALLE 3

Présidente de session : Brigitte Bidegarray.

Modérateur : Francky Luddens.

35. On a second-order well-balanced Lagrange-Projection scheme for blood flow equations with varying parameters

Mlle Alessia Del Grosso (Laboratoire de Mathématiques de Versailles, UMR 8100, Université de Versailles Saint-Quentin-en-Yvelines, UFR des Sciences, bàtiment Fermat, 45 avenue des Etats-Unis, 78035 Versailles cedex, France )

03/12/2020 10:00

Our work deals with the construction of a second-order well-balanced Lagrange-projection scheme applied to the 1D Blood Flow Equations [Formaggia, Quarteroni, Veneziani 2009]. We study the model in the particular case in which the cross-sectional area at rest and the wall stiffness of the blood vessel could be not constant in space. Indeed, there exist physiological and pathological situations...

24. Global existence to a diagonal hyperbolic system for any $BV$ initial data

Mlle Maryam Al Zohbi (UTC)

03/12/2020 10:30

In this work, we study the existence of solutions for a diagonal hyperbolic system, that is not necessarily strictly hyperbolic, in one space dimension, considering discontinuous $BV$ initial data without any restrictions on the size of its norm. This system appears naturally in various physical domains, particularly in isentropic gas dynamics and dislocation dynamics in materials. In the case...

21. Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems

Aya Oussaily

03/12/2020 11:00

In this work, we consider diagonal non-conservative hyperbolic systems in one space dimension with monotone and large Lipschitz continuous data. Under a certain nonnegativity condition on the Jacobian matrix of the velocity of the system, global existence and uniqueness results of a Lipschitz solution for this system, which is not necessarily strictly hyperbolic, was proved in El Hajj, Monneau...

42. Numerical Analysis for the Shallow water model with two velocities

Mlle Nelly BOULOS AL MAKARY (Université Sorbonne Paris Nord)

03/12/2020 11:30

The Shallow water equations (also called Saint-Venant's equations) are the usual model governing fluid flow in the rivers, channels or the oceans. They are used, for example, for the protection of the environment, the prediction of tides and storm urges, the transport of the sediment or the study of floods. Some references in the literature propose an improvement of the Shallow water equations...

44. A general comparison between the solutions generated by the FVC scheme and dierent exact solutions

Prof. Imad KIssami (MSDA Laboratory, University Mohammed VI Polytechnic, Benguerir, Morocco.), Prof. Fayssal Benkhaldoun (LAGA, Universite Sorbonne Paris Nord, CNRS, UMR 7539, F-93430, Villetaneuse, France.)

03/12/2020 12:00

Hydrodynamic transport problems often take the form of hyperbolic conservation law systems (see e.g. [6, 5]). In this work we will focus on the Saint-Venant system which is still the utmost important model in maritime or fuvial hydraulics simulations, it governs the free surface shallow water flows. It was obtained from Navier-Stokes equations using adequate assumptions see [7]. Due to their...

47. Retour à l'équilibre d'un flotteur dans le régime de Boussinesq

Geoffrey Beck (ENS-DMA)

03/12/2020 12:30

L’étude mathématique des structures solides flottantes à la surface de l’eau contribue à une meilleure compréhension du potentiel énergétique des vagues. En ingénierie navale ou environnementale, une partie de la communauté utilise les équations d’Euler de la mécanique des fluides couplées avec les équations de Newton de la mécanique du solide, une autre partie s’intéresse à une équation...