2 edition of **Orbit-averged kinetic equations for an axisymmetric mirror machine** found in the catalog.

Orbit-averged kinetic equations for an axisymmetric mirror machine

Y. Matsuda

You might also like

Modern English-Yiddish, Yiddish-English dictionary

Modern English-Yiddish, Yiddish-English dictionary

First supplement to the revised and expanded edition (2002) of Gay Canada : a bibliography and videography, 1984-2000

First supplement to the revised and expanded edition (2002) of Gay Canada : a bibliography and videography, 1984-2000

Off the Hook

Off the Hook

Development trends of the non-ferrous metals industry in Eastern Europe.

Development trends of the non-ferrous metals industry in Eastern Europe.

Morecombe Bay and Solway barrages.

Morecombe Bay and Solway barrages.

Lead, mortality, and productivity

Lead, mortality, and productivity

Barges or juggernauts?

Barges or juggernauts?

Worcestershire

Worcestershire

Carpenter from Nazareth

Carpenter from Nazareth

Get this from a library. Orbit-averged kinetic equations for an axisymmetric mirror machine. [Y Matsuda; M E Rensink; United States.

Department of. Open Library is an open, editable library catalog, building towards a web page for every book ever published. In this model the equations for the turbulent kinetic energy (k), its dissipation (ϵ), temperature fluctuations (), and intermittency (γ) have been solved.

The equation for the dissipation (ϵ) accounts for the effect of entrainment, which in turn requires the solution of a transport equation for the by: In particular, it is required in the unmagnetized implicit electrostatic models that \k^^v At\ 1 and ORBIT-AVERAGED IMPLICIT CODES \k^^a^t2\, where k^^ is the maximum spatial wavenumber retained, At is the time step, and v and a are the particle velocity and by: Here we consider the 3 D incompressible Euler equations with axisymmetric velocity without swirl.

First we will show that if u 0 ∈ C s ∩ L 2, s > 1, and ω 0 (x) ≤ C x 1 2 + x 2 2, then there exists a unique u ∈ C ([0, ∞); C s) that solves the equation. This conclusion improves on the related results given by Majda [A.L.

Bertozzi, A. Majda, Vorticity and Incompressible Flow, in Cited by: 3. We use cookies to offer you a better experience, personalize content, tailor advertising, provide social media features, and better understand the use of our services.

An alternative implementation of the kinetic theory based axisymmetric lattice Boltzmann model. Moreover, theoretical analysis demonstrates that the macroscopic axisymmetric N–S equations are derived from the present axisymmetric scheme with second-order : Liangqi Zhang, Shiliang Yang, Zhong Zeng, Jia Wei Chew.

Book Search tips Selecting this option will search all publications across the Scitation platform Selecting this option will search all Spontaneous multi-keV electron generation in a low-RF-power axisymmetric mirror machine. Swanson and S. Cohen. more Physics of Plasmas Kinetic simulations of sheared flow stabilization in high.

The Magnetic Mirror Fusion Program is one of the two main-line fusion efforts in the United States. Starting from the simple axisymmetric mirror concept in the 's, the program has successfully overcome gross flute-type instabilities (using minimum-B magnetic fields), and the most serious of the micro-instabilities which plagued it (the drift-cyclotron loss-cone mode).Author: W.C.

Condit. Hi, This is very interesting problem. I was wondering if you had done any grid independence on both the 2D and 3D cases. If you find that the 3D model requires more refined grid and you make certain that results are good (within certain confidence interval) then try to use these the settings (i.e.

grid pattern etc) on the 2D case. The orbit-averaged kinetic equation suitable for studying collisional transport in an axisymmetric mirror machine is derived and reduced to a three-dimensional equation in phase space in the case ./sub c/.

Orbits in Axisymmetric Potentials II As for the spherical case, we can reduce the equations of motion to R = @ e @R z = @ e @z with e (R;z) = (R;z)+ L2 z 2R2 the effective potential. The L2 z=R 2-term serves as a centrifugal barrier, only allowing orbits with Lz = 0near the symmetry-axis.

This allows us to reduce the 3D motion to 2D motion in Meridional Plane (R;z), which rotates File Size: KB. Modeling Axisymmetric Flows with Swirl or Rotation. As discussed in Sectionyou can solve a 2D axisymmetric problem that includes the prediction of the circumferential or swirl assumption of axisymmetry implies that there are no circumferential gradients in the flow, but that there may be non-zero circumferential velocities.

One can then formally use equations (26) and (31) in the limit of to describe production of just the secondary electrons, which automatically eliminates the need to consider a sink term separately. This simplification is justified when the electric field exceeds the runaway avalanche threshold by: 7.

Ernst equation can be given explicitly in terms of theta functions on Riemann sur-faces [K]. In this way, it is possible to write down a large number of exact analytic solutions to the stationary axisymmetric Einstein equations and to study them using.

Robert P. Freis's 17 research works with citations and 90 reads, including: Calculations of combined stellarator-multipole toroidal magnetic field configurations. Cross-section of the mirror machine with annular limiter (black, near the left mirror), and the calculated field lines for the configuration used in most of the experiments.

The plasma gun is located to the left of the left mirror, and the imaging optics is located to the right of the right mirror. A Monte Carlo method for the collisional guiding-center Fokker-Planck kinetic equation is derived in the five-dimensional guiding-center phase space, where the effects of.

Furthermore, as the drift-kinetic equation, when written in Boozer coordinates, only depends on position through flux functions and B, a quasisymmetric stellarator would have similar confinement.

The equations and derivations are as Kaufman presented, but the text is a reconstruction of Kaufman’s discussion and commentary. The notes were transcribed by Bruce I.

Cohen in andand word processed, edited and. Plotting projectile displacement, acceleration, and velocity. Projectile height given time. Deriving max projectile displacement given time. Impact velocity from given height. Viewing g as the value of Earth's gravitational field near the surface.

This is the currently selected item. Choosing kinematic equations.The kinetic and guiding center fluid theories of highbeta.

plasma containment in mirror machines have been developed in a number of self-consistent models. The geometrical effects of magnetic field and ambipolar potential variation have been incorporated in a bounce-averaged Fokker-Planck code which shows that the square-well model somewhat overestimates the n tau.

achievable in a mirror field.Such an equation for trapped particles is derived in axisymmetric toroidal geometry by transforming the familiar drift-kinetic equation to toroidal co-ordinates and employing an annihilation operator.

The "bounce-averaged drift-kinetic equation" facilitates the application of Dupree's strong turbulence formalism in toroidal geometry, under the.