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, 10 I.2 Pattern of the five waves
, Wave patterns for two limits
, , p.49
, Numerical error for the nozzle flow (test 3)
, Material wave test 1: perfect gas
, Material wave test 2: perfect gas
, 10 Material wave test 3: stiffened gas
, 13 Material wave test 4: copper (longer simulation)
, 14 Material wave test 5: elastic solid
, 2D domain: parallel communications
, 6 Gresho vortex with M max = 10 ?1 (longer simulations), IV.5 Gresho vortex with M, p.80
, IV.7 Gresho vortex with M max = 10 ?2 and M
, 10 2D wave propagation in a stiffened gas, 2D wave propagation in perfect gases
, Riemann problem (test 5): uniform grid
, Riemann problem (test 6): uniform grid
, Riemann problem (test 5): numerical entropy, vol.16
, Riemann problem (test 5): numerical entropy, vol.17
, IV.18 Adaptive grids for test 5
, IV.19 Density on adaptive grids for test 5
, IV.20 Pressure on adaptive grids for test 5, vol.5
, IV.22 Density on adaptive grids for test 6
, 6 Gas pistion: test 4 (velocity), Sketch of the interface position on the grid
, Gas/gas interface: test 7
, V.10 Gas/gas interface: test 8
, V.11 Water/water interface: test 9
, 12 Gas/gas and water/water interfaces: comparison of schemes, p.118
, V.13 Water/gas interface: test 10
, Water/gas interface: test 11
, Copper/copper interface: test 12
, Copper/copper interface: test 12
, Copper/copper interface: test 13
, Copper/copper interface: test 13
, Copper/gas interface: test 14
, Materials representation with the level set
, Cells changing material: update
, Shock-bubble interaction (test 1): domain
, Shock-bubble interaction (test 1): 6 snapshots
, VI.5 Shock-bubble interaction
, Advection of a copper ball (test 2)
, 137 List of Tables I.1 Typical parameters for different materials
, 5 Material wave propagation tests: initial state
, 3 2D material wave propagation tests: initial state
, Gas piston tests: initial state
, Gas piston tests: mass conservation
, Copper beam tests: initial state
, Copper beam tests: mass conservation
, Fluid/fluid interfaces: parameters
, Fluid/fluid interfaces: initial state
, Solid/solid and solid/fluid interfaces: parameters, p.120
, Solid/solid and solid/fluid interfaces: initial state
, Shock-bubble interaction: parameters
, 2D solid/fluid interfaces: parameters
, Abbiamo inoltre proposto un metodo numerico per trattare le interfacce fisiche in implicito, con l'obiettivo di risolvere flussi multi-materiale a basse velocità. L'implementazione del codice bidimensionale è stata sviluppata in parallelo, per essere risolta su strutture HPC. Le prospettive di questo lavoro riguardano lo sviluppo di schemi di ordine più alto sia per la discretizzazione dei flussi, che per quella della funzione level, ottenuti con metodi standard espliciti-upwind nei casi in cui il numero di Mach del flusso diventa piccolo
, finora esplorata solo nei casi con un solo materiale, permetterà di limitare i costi computazionali anche per problemi multi-materiali
, On a proposé un schéma all-speed implicite basé sûr une technique de relaxation. Ce schéma améliore considérablement les résultats obténus avec des méthodes classiques explicite-upwind dans les cas où le nombre de Mach dévient pétit. De plus, on a proposé une méthode numérique pour décrire les interfaces physiques en implicite, Dans cette thèse on a proposé des méthodes numériques pour simuler de matériaux différents soir en régimes totalement compressibles que dans la limite bas Mach. Le modèle eulérian introduit décrit les fluides et les solides élastiques avec les mêmes équations. Dans cet ésprit, le concept de régime bas Mach a été étendu aussi aux déformations élastiques
, Les perspectives des ces travaux concernent le dévéloppement de schémas d'ordre élevé soit pour discretiser les écoulements que pour intégrer la level set qui réprésent l'interface. De plus, la solution sûr mailles adaptives a été éxploré que pour des problèmes avec un seul matériau. Cellela nous permettera de limiter les coûts computationels aussi en l, L'implémentation du code bidimensionel a été dévéloppé en parallel pour être résolu sûr des structures HPC