scholarly journals Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory

2010 ◽  
Vol 82 (2) ◽  
Author(s):  
I. Bouras ◽  
E. Molnár ◽  
H. Niemi ◽  
Z. Xu ◽  
A. El ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Shock Waves ◽  
Kinetic Theory ◽  
Viscous Fluid ◽  
Riemann Problem

Inelastic Interaction and Non-Traveling-Wave Effects for Two Multi-Dimensional Burgers Models from Fluid Dynamics and Astrophysics with Symbolic Computation

2006 ◽  
Vol 61 (12) ◽  
pp. 652-660 ◽  
Author(s):  
Tao Xu ◽  
Chun-Yi Zhang ◽  
Juan Li ◽  
Hai-Qiang Zhang ◽  
Li-Li Li ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Shock Waves ◽  
Viscous Fluid ◽  
Symbolic Computation ◽  
Traveling Wave ◽  
Electromagnetic Waves ◽  
Burgers Equation ◽  
Cosmic Ray ◽  
Inelastic Interaction ◽  
Wave Effects

Describing the surface perturbations of a shallow viscous fluid, cosmic-ray-modified shock structures and electromagnetic waves in a saturated ferrite, the (2+1)- and (3+1)-dimensional Burgers equations are investigated in this paper. In view of the higher space dimensionality, the transformations from such two models to a (1+1)-dimensional Burgers equation are constructed with symbolic computation. Via the obtained transformations, three families of multi-dimensional N-shock-wavelike solutions are specially presented, which recover some previously published solutions. The inelastically interacting properties and some non-traveling-wave effects of shock waves are discussed through the figures for several sample solutions. Additionally, possible applications for those solutions and effects in some fields are also pointed out

Kinetic Theory and Fluid Dynamics

2003 ◽  
Vol 339 (2-3) ◽  
pp. 134-136
Author(s):  
Piet Schram
Keyword(s):  
Fluid Dynamics ◽  
Kinetic Theory

Computational fluid dynamics of riser using kinetic theory of rough spheres

2012 ◽  
Vol 228 ◽  
pp. 56-68 ◽  
Author(s):  
Shuai Wang ◽  
Guodong Liu ◽  
Huilin Lu ◽  
Yunchao Yang ◽  
Pengfei Xu ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Kinetic Theory

scholarly journals Second order dissipative fluid dynamics from kinetic theory

2011 ◽  
Vol 13 ◽  
pp. 07005 ◽  
Author(s):  
B. Betz ◽  
G.S. Denicol ◽  
T. Koide ◽  
E. Molnár ◽  
H. Niemi ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Kinetic Theory ◽  
Second Order ◽  
Dissipative Fluid

Study of High Speed Turbulent Flow Over Rotating Two Stage Three Dimensional Double Wedge

2006 ◽  
Author(s):  
Khaled Alhussan
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Mach Number ◽  
Shock Waves ◽  
High Speed ◽  
Three Dimensional ◽  
Oblique Shock ◽  
Wave Interactions ◽  
Double Wedge ◽  
Slip Surfaces

In this paper some characteristics of non-steady, compressible, flow are explored, including compression and expansion wave interactions and creation. The work to be presented herein is a Computational Fluid Dynamics investigation of the complex fluid phenomena that occur inside three-dimensional region, specifically with regard to the structure of the oblique shock waves, the reflected shock waves and the interactions of the shock waves. The flow is so complex that there exist oblique shock waves, expansion fans, slip surfaces, and shock wave interactions and reflections. The flow is non-steady, turbulent, viscous, compressible, and high-speed supersonic. The work to be presented herein is a Computational Fluid Dynamics analysis of flow over a 15-degree angle double wedge for a compressible air, with spin angle of 10-degree and Mach number of 2.5. The problem to be solved involves formation of shock waves, expansion fans and slip surfaces, so that the general characteristics of supersonic flow are explored through this problem. Shock waves and slip surfaces are discontinuities in fluid mechanics problems. It is essential to evaluate the ability of numerical technique that can solve problems in which shocks and contact surfaces occur. In particular it is necessary to understand the details of developing a mesh that will allow resolution of these discontinuities. Results including contour plots of pressure, temperature, and Mach number will show that CFD is capable of predicting accurate results and is also able to capture the discontinuities in the flow, e.g., the oblique shock waves and the slip surfaces. Through this computational analysis, a better interpretation of the physical phenomenon of the three-dimensional shock waves interaction and reflection can be achieved.

The Riemann problem for a system of conservation laws of mixed type with a cubic nonlinearity

1995 ◽  
Vol 125 (4) ◽  
pp. 675-699 ◽  
Author(s):  
Michael Shearer ◽  
Yadong Yang
Keyword(s):  
Shock Waves ◽  
Conservation Laws ◽  
Riemann Problem ◽  
Mixed Type ◽  
Vector Fields ◽  
Heteroclinic Orbits ◽  
Cubic Nonlinearity ◽  
System Of Conservation Laws ◽  
Admissible Solutions ◽  
Image Position

Using the viscosity-capillarity admissibility criterion for shock waves, we solve the Riemann problem for the system of conservation lawswhere σ(u) = u3 − u. This system is hyperbolic at (u, v) unless . We find that the Riemann problem has a unique solution for all data in the hyperbolic regions, except for a range of data in the same phase (i.e. on the same side of the nonhyperbolic strip). In the nonunique cases, there are exactly two admissible solutions. The analysis is based upon a formula describing all saddle-to-saddle heteroclinic orbits for a family of cubic vector fields in the plane.

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