L'INFLUENCE DES CONDITIONS DE RACCORD SUR LE COMPORTEMENT DES SCHEMAS IMPLICITES EST BIEN SOUVENT SOUS-ESTIMEE. AFIN DE MIEUX CERNER LES NOMBREUX MECANISMES IMPLIQUES, NOUS APPROFONDISSONS L'ETUDE DE QUELQUES CAS PARTICULIERS REPRESENTATIFS D'UNE LARGE GAMME DES DIFFICULTES RENCONTREES. LA PREMIERE PARTIE DE CE MEMOIRE EST CONSACREE AU TRAITEMENT MULTIDOMAINE ENTRE DEUX SOUS-DOMAINES SANS RECOUVREMENT. PARTANT DU FORMALISME DES CONDITIONS DE RACCORD IMPLICITES LINEAIREMENT EQUIVALENTES, NOUS ETENDONS LA METHODE D'ANALYSE DES ERREURS DE SKOLLERMO ET LA THEORIE DE LA STABILITE DE GUSTAFSSON, KREISS ET SUNDSTROM A L'ETUDE DE CONDITIONS DE RACCORD IMPLICITES NON TRANSLATOIRES EN TEMPS. DIFFERENTES TECHNIQUES DE DECOMPOSITION DE DOMAINE SONT VALIDEES PAR LE CALCUL D'ECOULEMENTS STATIONNAIRES ET INSTATIONNAIRES DANS DES GEOMETRIES DE TURBOMACHINES. LA SECONDE PARTIE TRAITE DE LA PARALLELISATION D'UN OPERATEUR IMPLICITE FACTORISE OU RELAXE. NOUS PRESENTONS UN ALGORITHME ORIGINAL DE RESOLUTION D'UN SYSTEME TRIDIAGONAL. IL RESTE PARFAITEMENT PARALLELISABLE QUEL QUE SOIT LE NOMBRE DE PROCESSEURS DISPONIBLES, AU PRIX D'UN INFIME DECALAGE PAR RAPPORT A LA SOLUTION MONODOMAINE EQUIVALENTE. DES ETUDES THEORIQUES DE STABILITE ET D'EFFICACITE CONDUISENT A DIVERS RESULTATS ORIGINAUX CONCERNANT LES SCHEMAS IMPLICITES MULTIBLOCS. ON MONTRE, EN PARTICULIER, QUE L'ECRITURE APPROXIMATIVE DES CONDITIONS DE RACCORD IMPLICITES PEUT ENTRAINER L'APPARITION D'INSTABILITES NUMERIQUES. LE NOUVEL ALGORITHME ET LES RESULTATS THEORIQUES SONT VALIDES PAR LE CALCUL D'ECOULEMENTS DE FLUIDES PARFAITS, VISQUEUX, LAMINAIRES ET TURBULENTS, SUBSONIQUES ET TRANSSONIQUES, STATIONNAIRES ET INSTATIONNAIRES A L'AIDE D'UN SCHEMA IMPLICITE PARALLELISE PAR BLOC

Honoring the contributions of one of the field's leading experts, Lu Ting, this indispensable volume contains important new results at the cutting edge of research. A wide variety of significant new analytical and numerical results in critical areas are presented, including point vortex dynamics, superconductor vortices, cavity flows, vortex breakdown, shock/vortex interaction, wake flows, magneto-hydrodynamics, rotary wake flows, and hypersonic vortex phenomena.The book will be invaluable for those interested in the state of the art of vortex dominated flows, both from a theoretical and applied perspective.Professor Lu Ting and Joe Keller have worked together for over 40 years. In their first joint work entitled ?Periodic vibrations of systems governed by nonlinear partial differential equations?, perturbation analysis and bifurcation theory were used to determine the frequencies and modes of vibration of various physical systems. The novelty was the application to partial differential equations of methods which, previously, had been used almost exclusively on ordinary differential equations. Professsor Lu Ting is an expert in both fluid dynamics and the use of matched asymptotic expansions. His physical insight into fluid flows has led the way to finding the appropriate mathematical simplications used in the solutions to many difficult flow problems.

The future evolution of the debris environment will be forecast on the basis of traffic models and possible hazard mitigation practices. The text shows how large trackable objects will have re-entry pinpointed and predictions made on related risk assessment for possible ground impact. Models will also be described for meteoroids which are also a prevailing risk.

From Multicores and GPUs to Petascale. Parallel computing technologies have brought dramatic changes to mainstream computing the majority of todays PCs, laptops and even notebooks incorporate multiprocessor chips with up to four processors. Standard components are increasingly combined with GPUs Graphics Processing Unit, originally designed for high-speed graphics processing, and FPGAs Free Programmable Gate Array to build parallel computers with a wide spectrum of high-speed processing functions. The scale of this powerful hardware is limited only by factors such as energy consumption and thermal control. However, in addition to"