The magnetic mirror force in plasma fluid Models

1988 ◽  
pp. 51-53 ◽  
Author(s):  
R. H. Comfort
Keyword(s):  
Magnetic Mirror ◽  
Fluid Models

Terahertz Magnetic Mirror Realized with Dielectric Resonator Antennas

2015 ◽  
Vol 27 (44) ◽  
pp. 7137-7144 ◽  
Author(s):  
Daniel Headland ◽  
Shruti Nirantar ◽  
Withawat Withayachumnankul ◽  
Philipp Gutruf ◽  
Derek Abbott ◽  
...  
Keyword(s):  
Dielectric Resonator ◽  
Magnetic Mirror ◽  
Dielectric Resonator Antennas

scholarly journals Circulation and Energy Theorem Preserving Stochastic Fluids

2019 ◽  
Vol 150 (6) ◽  
pp. 2776-2814 ◽  
Author(s):  
Theodore D. Drivas ◽  
Darryl D. Holm
Keyword(s):  
Variational Principle ◽  
Energy Conservation ◽  
Euler Equations ◽  
Navier Stokes ◽  
Fluid Models ◽  
Smooth Solutions ◽  
Stochastic Fluid Models ◽  
Natural Extensions ◽  
Stochastic Fluid ◽  
Incompressible Euler

AbstractSmooth solutions of the incompressible Euler equations are characterized by the property that circulation around material loops is conserved. This is the Kelvin theorem. Likewise, smooth solutions of Navier–Stokes are characterized by a generalized Kelvin's theorem, introduced by Constantin–Iyer (2008). In this note, we introduce a class of stochastic fluid equations, whose smooth solutions are characterized by natural extensions of the Kelvin theorems of their deterministic counterparts, which hold along certain noisy flows. These equations are called the stochastic Euler–Poincaré and stochastic Navier–Stokes–Poincaré equations respectively. The stochastic Euler–Poincaré equations were previously derived from a stochastic variational principle by Holm (2015), which we briefly review. Solutions of these equations do not obey pathwise energy conservation/dissipation in general. In contrast, we also discuss a class of stochastic fluid models, solutions of which possess energy theorems but do not, in general, preserve circulation theorems.

scholarly journals RELAXATION OF FLUID SYSTEMS

2012 ◽  
Vol 22 (08) ◽  
pp. 1250014 ◽  
Author(s):  
FRÉDÉRIC COQUEL ◽  
EDWIGE GODLEWSKI ◽  
NICOLAS SEGUIN
Keyword(s):  
Numerical Method ◽  
Weak Solutions ◽  
Equilibrium Model ◽  
Numerical Approximation ◽  
Natural Extension ◽  
Fluid Models ◽  
Relaxation System ◽  
Fluid Systems ◽  
Relaxation Procedure ◽  
Entropy Inequalities

We propose a relaxation framework for general fluid models which can be understood as a natural extension of the Suliciu approach in the Euler setting. In particular, the relaxation system may be totally degenerate. Several stability properties are proved. The relaxation procedure is shown to be efficient in the numerical approximation of the entropy weak solutions of the original PDEs. The numerical method is particularly simple in the case of a fully degenerate relaxation system for which the solution of the Riemann problem is explicit. Indeed, the Godunov solver for the homogeneous relaxation system results in an HLLC-type solver for the equilibrium model. Discrete entropy inequalities are established under a natural Gibbs principle.

Experimental study of force-free, collinear plasma structures

1973 ◽  
Vol 9 (1) ◽  
pp. 1-15 ◽  
Author(s):  
E. E. Nolting ◽  
P. E. Jindra ◽  
D. R. Wells
Keyword(s):  
Magnetic Field ◽  
Experimental Study ◽  
Magnetic Fields ◽  
Flow Fields ◽  
Diagnostic Techniques ◽  
Field Configuration ◽  
Magnetic Mirror ◽  
Magnetic Field Configuration ◽  
Magnetic Barrier ◽  
Magnetic Well

Detailed measurements of the trapped magnetic fields and currents in plasma structures generated by conical theta-pinches are reported. Studies of these structures interacting with a magnetic barrier, and with each other in a collision at the centre of a magnetic mirror, are reported. The magnetic well formed by the collision has been studied by simultaneous use of several diagnostic techniques. The measurements are in agreement with a force-free, collinear magnetic field configuration (Wells 1972). Arguments relating superposability and collinearity of flow fields to these observations are given.

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