Relativistic hydrodynamics of a free expansion and a shock wave in one-dimension

1980 ◽  
Vol 72 (2) ◽  
pp. 447-475 ◽  
Author(s):  
M. Yokosawa ◽  
S. Sakashita
Keyword(s):  
Shock Wave ◽  
One Dimension ◽  
Relativistic Hydrodynamics ◽  
Free Expansion

Molecular dynamics investigation of shock wave in one-dimension

1994 ◽  
Author(s):  
Jihai Wang ◽  
Wenshan Duan ◽  
Yuansheng Pan
Keyword(s):  
Shock Wave ◽  
Molecular Dynamics ◽  
One Dimension

scholarly journals Ultrafast ignition with relativistic shock waves induced by high power lasers

2014 ◽  
Vol 2 ◽  
Author(s):  
Shalom Eliezer ◽  
Noaz Nissim ◽  
Shirly Vinikman Pinhasi ◽  
Erez Raicher ◽  
José Maria Martinez Val
Keyword(s):  
Shock Wave ◽  
Shock Waves ◽  
Radiation Pressure ◽  
Ponderomotive Force ◽  
Relativistic Hydrodynamics ◽  
Pressure Shock ◽  
Compression Pressure ◽  
High Power Lasers ◽  
Relativistic Shock ◽  
Wave Induced

Abstract In this paper we consider laser intensities greater than $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}10^{16}\ \mathrm{W\ cm}^{-2}$ where the ablation pressure is negligible in comparison with the radiation pressure. The radiation pressure is caused by the ponderomotive force acting mainly on the electrons that are separated from the ions to create a double layer (DL). This DL is accelerated into the target, like a piston that pushes the matter in such a way that a shock wave is created. Here we discuss two novel ideas. Firstly, the transition domain between the relativistic and non-relativistic laser-induced shock waves. Our solution is based on relativistic hydrodynamics also for the above transition domain. The relativistic shock wave parameters, such as compression, pressure, shock wave and particle flow velocities, sound velocity and rarefaction wave velocity in the compressed target, and temperature are calculated. Secondly, we would like to use this transition domain for shock-wave-induced ultrafast ignition of a pre-compressed target. The laser parameters for these purposes are calculated and the main advantages of this scheme are described. If this scheme is successful a new source of energy in large quantities may become feasible.

Relativistic Hydrodynamics in One Dimension

1971 ◽  
Vol 3 (4) ◽  
pp. 858-863 ◽  
Author(s):  
Montgomery H. Johnson ◽  
Christopher F. McKee
Keyword(s):  
One Dimension ◽  
Relativistic Hydrodynamics

scholarly journals Analysis of Fracture Behaviour of Exploded Metal Cylinders with Varied Charge

2018 ◽  
Vol 183 ◽  
pp. 01036 ◽  
Author(s):  
Xinlong Dong ◽  
Xinlu Yu ◽  
Shunjie Pan
Keyword(s):  
Shock Wave ◽  
Shear Stress ◽  
Shear Fracture ◽  
Maximum Shear Stress ◽  
Equivalent Plastic Strain ◽  
Outer Wall ◽  
Detonation Pressure ◽  
Element Analysis ◽  
Free Expansion ◽  
Metal Cylinder

Explosively driven fragmentation of ductile metals cylinders is a highly complex phenomenon. In this work, the fracture characteristics of exploded TA2 titanium alloy cylinder with varied charge were investigated numerically and experimentally. The results show that the fracture surfaces of fragments lie along planes of maximum shear stress for either a higher or a lower detonation pressure, but their mechanism is different. The finite element analysis demonstrated that the equivalent plastic strain in the middle of the wall is always larger than that of inner and outer wall for metal cylinder during the stage of shock wave driven period. For the high explosive pressures, the micro-cracks originated firstly in middle zone of wall during the stage of shock wave driven, and extend to the inner and outer wall in the direction of maximum shear stress. Explosives which generate lower detonation pressures, the shear fracture of cylinder originated from the inner wall and propagate to the outer wall in an angle of 45° or 135° to radial, the crack begin at the stage of free expansion. The simulated analysis of the process of deformation and fragmentation for exploded metal cylinder agree with the experimental results.

The Mechanisms of Determining Shock Locations in One and Two Dimensional Transonic Flows

1986 ◽  
Vol 53 (1) ◽  
pp. 203-205 ◽  
Author(s):  
D. Nixon ◽  
Y. Liu
Keyword(s):  
Shock Wave ◽  
Transonic Flow ◽  
Two Dimensions ◽  
One Dimension ◽  
Two Dimensional ◽  
Entropy Condition ◽  
Transonic Flows ◽  
Sonic Line

The mechanism that locates a shock wave in a transonic flow in one and two dimensions is examined. It is found that in one dimension the shock is located by specifying the downstream pressure whereas in two dimensions the shock is located by the application of an entropy condition at the sonic line.

scholarly journals Effective field theory for non-relativistic hydrodynamics

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Akash Jain
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Killing Vector ◽  
Effective Field ◽  
Field Theories ◽  
One Dimension ◽  
Relativistic Hydrodynamics ◽  
Relativistic Limit ◽  
Stochastic Fluctuations ◽  
Background Construction

Abstract We write down a Schwinger-Keldysh effective field theory for non-relativistic (Galilean) hydrodynamics. We use the null background construction to covariantly couple Galilean field theories to a set of background sources. In this language, Galilean hydrodynamics gets recast as relativistic hydrodynamics formulated on a one dimension higher spacetime admitting a null Killing vector. This allows us to import the existing field theoretic techniques for relativistic hydrodynamics into the Galilean setting, with minor modifications to include the additional background vector field. We use this formulation to work out an interacting field theory describing stochastic fluctuations of energy, momentum, and density modes around thermal equilibrium. We also present a translation of our results to the more conventional Newton-Cartan language, and discuss how the same can be derived via a non-relativistic limit of the effective field theory for relativistic hydrodynamics.

Reconstruction of Objects from their Projections Using Orthogonal Functions

1973 ◽  
Vol 31 ◽  
pp. 268-269
Author(s):  
Elrnar Zeitler
Keyword(s):  
Unit Area ◽  
Three Dimensional ◽  
One Dimension ◽  
Spatial Density ◽  
Dimensional Representation ◽  
Orthogonal Functions ◽  
Object A ◽  
Plane Normal ◽  
Dimensional Object ◽  
Spatial Density Distribution

Considering any finite three-dimensional object, a “projection” is here defined as a two-dimensional representation of the object's mass per unit area on a plane normal to a given projection axis, here taken as they-axis. Since the object can be seen as being built from parallel, thin slices, the relation between object structure and its projection can be reduced by one dimension. It is assumed that an electron microscope equipped with a tilting stage records the projectionWhere the object has a spatial density distribution p(r,ϕ) within a limiting radius taken to be unity, and the stage is tilted by an angle 9 with respect to the x-axis of the recording plane.

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