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Séminaires CPU_A. KURGANOV "Interface Tracking Method for Systems of Hyperbolic Conservation and Balance Laws" & G. RUSSO "Semi-implicit IMEX schemes for evolutionary non-linear partial differential equations"

le 15 juillet 2015 de 08h30 à 12h

Dans le cadre de son premier axe "Calcul scientifique", le cluster CPU accueillera deux orateurs: Alexander KURGANOV (Tulane University) et Giovanni RUSSO (University of Catania) présenteront deux exposés intitulés respectivement: "Interface Tracking Method for Systems of Hyperbolic Conservation and Balance Laws" et "Semi-implicit IMEX schemes for evolutionary non-linear partial differential equations".

Les séminaires auront lieu le Mercredi 15 Juillet 2015, à 9h à l'IMB (Salle de conférence – IMB, 351 cours de la libération 33400 Talence).

Programme

  • 9:00 – 10:00 

Professor Alexander Kurganov (Department of Mathematics- Tulane University (Louisiana-USA)) – Interface Tracking Method for Systems of Hyperbolic Conservation and Balance Laws

Abstract:

It is well known that systems of nonlinear hyperbolic PDEs admit discontinuous solution that may contain shock waves and contact discontinuities. There is a machinery of shock-capturing methods that are capable of accurately resolve these nonlinear waves. However, most of the shock-capturing methods would typically fail if a contact discontinuity appears at the interface between two different fluids since in this case, the values of the conserved quantities obtained by averaging across the interface may be unphysical.

The interface tracking method allows one to avoid any averaging across fluid interfaces. This helps to design highly accurate and stable numerical methods for a variety of multi-component models. The examples considered in this talk are compressible multi-fluids and shallow water equations with horizontal temperature gradients.

  •  10:00 – 11:00 

Professor Giovanni Russo (Dipartimento di Matematica, università di Catania (Italy)) – Semi-implicit IMEX schemes for evolutionary non-linear partial differential equations


Dernière mise à jour vendredi 10 juillet 2015


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