The Riemann problem for fluid flow of real materials

Reviews of Modern Physics

Volumn 61, Issue 1, 1989, Pages 75-130

  Menikoff, Ralph ^a   Plohr, Bradley J ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35949012093     PISSN: 00346861     EISSN: None     Source Type: Journal    
DOI: 10.1103/RevModPhys.61.75     Document Type: Article

References (110)

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4. The Theory of Shock Waves for an Arbitrary Equation of State
5. The Effect of Curvature on Detonation Speed
6. Flow of Real Fluids
7. A Conservation Front Tracking Method for Hyperbolic Conservation Laws
8. Front Tracking for Gas Dynamics
9. Random Choice Solutions of Hyperbolic Systems
10. A Direct Eulerian MUSCL Scheme for Gas Dynamics
11. An Efficient Solution Algorithm for the Riemann Problem for Real Gases
12. The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulation
13. Properties of the Hugoniot Function
14. Properties of Some Hugoniot Curves Associated with Shock Instabilities
15. Exact Solution for Sonic Shocks in van der Waals Gases
16. Equation of State for Detonation Products
17. A General, Non-Iterative Riemann Solver for Godunov's Method
18. Phase Transitions under Shock-Wave Loading
19. On the Stability of Shock Waves
20. Stability of Step Shocks
21. Reply to Comments by Gardner
22. Conditional Stability of Shock Waves—A Criterion for Detonation
23. Stimulated and Spontaneous Emission of Acoustic Waves from Shock Fronts
24. Instabilities of Shock and Detonation Waves
25. Comment on `Stability of Step Shocks'
26. Some Problems in the Theory of Quasilinear Equations
27. The Existence and Limit Behavior of the One-Dimensional Shock Layer
28. Effects of Hydrogen Impurities on Shock Structure and Stability in Ionizing Monatomic Gases
29. Solutions in the Large for Nonlinear Hyperbolic Systems of Equations
30. Front Tracking and Two Dimensional Riemann Problems
31. An S-Matrix Theory for Classical Nonlinear Physics
32. A Difference Method for Numerical Calculation of Discontinuous Solutions of the Equations of Hydrodynamics
33. The Stability of Shock Waves in Ionizing and Dissociating Gases
34. Front Tracking and Shock-Contact Interactions
35. Starke kugelige und zylindrische Verdichtungsstösse in der Nähe des Kugelmittelpuktes bzw der Zylinderachse
36. Fluid Dynamics
37. The Basic Theory of Gasdynamic Discontinuities
38. The Refraction of a Plane Shock Wave at a Gas Interface
39. The Reflection of a Shock Wave at a Rigid Wall in the Presence of a Boundary Layer
40. Regular and Mach Reflection of Shock Waves
41. Transitional Waves for Conservation Laws
42. The Riemann Problem Near a Hyperbolic Singularity the Classification of Quadratic Riemann Problems I
43. A Note on the Pseudo-Stationary Flow Behind a Strong Shock Diffracted or Reflected at a Corner
44. Asymptotic Analysis of an Expanding Detonation
45. Spherical Detonation
46. Concerning the Stability of Shock Waves
47. Rarefaction Waves in Liquid and Gas-Liquid Media
48. Hyperbolic Systems of Conservation Laws II
49. An Asymptotic Expansion for the Solution of the Generalized Riemann Problem
50. The Stability of Matter
51. The Riemann Problem for General Systems of Conservation Laws
52. The Entropy Condition and the Admissibility of Shocks
53. Quasilinear Hyperbolic Systems
54. Shock Waves for Compressible Navier-Stokes Equations are Stable
55. An Equation of State for Shocked Copper Foam
56. The Stability of Multi-dimensional Shock Fronts
57. Criteria for Regular Spacing of Reacting Mach Stems
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60. Dynamics of Shear Flow of a Non-Newtonian Fluid
61. Real Gas Dynamics of Fluids with High Specific Heat
62. A Topological Degree for Orbits Connecting Critical Points of Autonomous Systems
63. Elementary Wave Interactions in Quasilinear Hyperbolic Systems
64. A New Quotidion Equation of State (QEOS) for Hot Dense Matter
65. Uniqueness and Stability of the Generalized Solution of the Cauchy Problem for a Quasi-linear Equation
66. Discontinuous Solutions of Non-linear Differential Equations
67. Stable Viscosities and Shock Profiles for Systems of Conservation Laws
68. Nonexistence of a Shock Layer in Gas Dynamics with a Nonconvex Equation of State
69. Instabilities in Shear Flow of Viscoelastic Fluids with Fading Memory
70. A Conservative Eulerian Formulation of the Equations for Elastic Flow
71. The Polymorphic Detonation
72. Compression of Solids by Strong Shock Waves
73. Uber die Forpflanzung ebener Luftwellen von endlicher Schwingungsweite
74. Stability Properties of Relativistic Shock Waves Basic Results
75. Admissibility Criteria for Shock Wave Solutions of a System of Conservation Laws of Mixed Type
76. Loss of Strict Hyperbolicity of the Buckley-Leverett Equations for Three Phase Flow in a Porous Medium
77. Solution of the Riemann Problem for a Prototype 2×2 System of Non-Strictly Hyperbolic Conservation Laws
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79. Admissibility Criteria for Propagating Phase Boundaries in a van der Waals Fluid
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81. Multi-Dimensional Detonation Wave Structure
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83. A Fundamental Derivative of Gas Dynamics
84. Shock Waves and Phase Changes in a Large-Heat-Capacity Fluid Emerging from a Tube
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86. On the Stability of Plane Shocks
87. The Riemann Problem for Materials with Non-Convex Equations of State: I, Isentropic Flow; II, General Flow
88. Shock Waves in Arbitrary Fluids
89. Convexity and the Notion of Equilibrium State in Thermodynamics and Statistical Mechanics