Mathematical and numerical modeling of two-phase compressible flows with micro-inertia

Journal of Computational Physics

Volumn 175, Issue 1, 2002, Pages 326-360

  Gavrilyuk, Sergey ^a   Saurel, Richard ^b  

^a AIX MARSEILLE UNIVERSITY   (France)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Compressible mixtures; Godunov type methods; Hamilton's principle; Multiphase flows; Nonconservative hyperbolic equations; Shock waves

Indexed keywords

BUBBLES (IN FLUIDS); EQUATIONS OF MOTION; TWO PHASE FLOW;

COMPRESSIBLE MIXTURES; GODUNOV-TYPE METHOD; HAMILTON'S PRINCIPLE; HYPERBOLIC EQUATIONS; NONCONSERVATIVE; NONCONSERVATIVE HYPERBOLIC EQUATION; ONE-DIMENSIONAL; SHOCK-WAVES; TWO PHASE; TYPE METHODS;

SHOCK WAVES;

EID: 0036153904     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6951     Document Type: Article

References (46)

1. How to prevent pressure oscillations in multi-component flow calculations: A quasi-conservative approach
2. A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials
3. Theories of immiscible and structured mixtures
4. Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues
5. Free energy of a non-uniform system I. Interfacial free energy
6. Transient wave propagation in bubbly liquids
7. Mathematical analysis of a two-phase continuum mixture theory
8. Systems of conservation laws with a convex extension
9. Hyperbolic models of two-fluid mixtures
10. A new form of governing equations of fluids arising from Hamilton's principle
11. Virtual mass in two-phase flow
12. Variational principles and two-fluid hydrodynamics of bubbly liquid/gas mixtures
13. Two-phase modeling of a fluid mixing layer
14. An interesting class of quasilinear systems
15. Résolution numérique des problèmes multidimensionnels de la dynamique des gaz
16. Contribution à une étude géométrique et variationnelle des milieux continus
17. Hamilton's principle and Rankine-Hugoniot conditions for general motions of mixtures
18. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
19. On the equations of motion of liquids containing gas bubbles
20. Shock waves in uniform bubbly flow
21. Two-phase modeling of DDT: Structure of velocity relaxation zone
22. On a model of cavitating fluid
23. Hydrodynamics of helium II
24. Proposition de méthodes et modèles eulériens pour les problèmes à interfaces entre fluides compressibles en présence de transfert de chaleur
25. Momentum interactions in dispersed flow: An averaging and variational approach
26. A theory of multiphase mixture
27. Bubble dynamics and cavitation
28. A simple method for compressible multifluid flows
29. A multiphase Godunov method for multifluid and multiphase flows
30. Mécanique des milieux continus
31. Variational principles in continuum mechanics
32. Sur le principe variationnel des équations de la mécanique des fluides parfaits
33. An efficient shock-capturing algorithm for compressible multicomponent problems
34. Two-phase flow: Models and methods
35. On the construction and comparison of difference schemes
36. Towards the ultimate conservative scheme V. A second order sequel to Godunov's scheme
37. On the equations of motion for mixtures of liquid and gas bubbles
38. On Geurst's equations for inertial coupling in two-phase flow