Etude de la Propagation d'Ondes Linéaires et Non Linéaires. Application à la Mécanique des Fluides et à la Physique des Plasmas

Alain Forestier (1)

1 CEA-DES (ex-DEN) - CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire)

This contribution’s topic is the resolution of the hyperbolic system which describes a compressible flow in a perfect or real situation. It is always in a compressible case and a turbulent model or a multicomponent isentropic turbulent model can be associated. Different schemes are tested as - Sαβ scheme or TVD scheme-An extension to generalized geometry is purposed in 2D or 3D. For chemical aspects, the ZND theory is under control with connection of second order method. In the same way, MHD or turbulent problems are developed with computations for compressible situations. Implicit aspects are investigated that show the loss of knowledge in large CFL even if computation can be driven for all time steps. At the end, for Plasma situations in which pressure effects can be neglected, there is a loss of hypertonicity that requires investigation in generated problems. We don’t present numerical simulations that are exhibited in another paper.

Mots clés: Numerical Analysis-Hyperbolic Problems-

Mots clés: Physique Mathématiques-Mécanique des Fluides-Physique des Plasmas-; Analyse Numérique-Schémas numériques-Problèmes hyperboliques

Domaines: Mathématiques [math]; Science non linéaire [physics]; Physique [physics]; Sciences de l'ingénieur [physics]; Chimie

Alain Forestier. Etude de la Propagation d'Ondes Linéaires et Non Linéaires. Application à la Mécanique des Fluides et à la Physique des Plasmas. Mathématiques [math]. UPMC Université pierre et Marie Curie Paris VI, 2002. ⟨tel-01275491⟩