Electron firehose instability: Kinetic linear theory and two-dimensional particle-in-cell simulations

An analysis is made of the effect of a transverse gravity field on a two-dimensional fully cavitating flow past a flat-plate hydrofoil. Under the assumption that the flow is both irrotational and incompressible, a non-linear method is developed by using conformal mapping and the solution to a mixed-boundary-value problem in an auxiliary half plane. A new cavity model, proposed by Tulin (1964a), is employed. The solution to the gravity-affected case was found by iteration; the non-gravity solution was used as the initial trial of a rapidly convergent process. The theory indicates that the lift and cavity size are reduced by the gravity field. Typical results are presented and compared to Parkin's (1957) linear theory.

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Development and application of a parallel two-dimensional particle-in-cell code based on an existing three-dimensional parallel PIC code

IEEE Conference Record - Abstracts. 1999 IEEE International Conference on Plasma Science. 26th IEEE International Conference (Cat. No.99CH36297) ◽

10.1109/plasma.1999.829697 ◽

2003 ◽

Author(s):

J.J. Watrous ◽

G.E. Sasser ◽

J.W. Luginsland ◽

S.C. Collela

Keyword(s):

Three Dimensional ◽

Two Dimensional ◽

Particle In Cell ◽

Pic Code

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TSUNAMI GENERATION AND PROPAGATION

Coastal Engineering Proceedings ◽

10.9753/icce.v13.146 ◽

1972 ◽

Vol 1 (13) ◽

pp. 146

Author(s):

Joseph L. Hammack ◽

Frederic Raichlen

Keyword(s):

Linear Theory ◽

Source Region ◽

Three Dimensional ◽

Frequency Dispersion ◽

Nonlinear Effects ◽

Its Region ◽

Experimental Results ◽

Specific Class ◽

Two Dimensional ◽

Three Dimensional Models

A linear theory is presented for waves generated by an arbitrary bed deformation {in space and time) for a two-dimensional and a three -dimensional fluid domain of uniform depth. The resulting wave profile near the source is computed for both the two and three-dimensional models for a specific class of bed deformations; experimental results are presented for the two-dimensional model. The growth of nonlinear effects during wave propagation in an ocean of uniform depth and the corresponding limitations of the linear theory are investigated. A strategy is presented for determining wave behavior at large distances from the source where linear and nonlinear effects are of equal magnitude. The strategy is based on a matching technique which employs the linear theory in its region of applicability and an equation similar to that of Korteweg and deVries (KdV) in the region where nonlinearities are equal in magnitude to frequency dispersion. Comparison of the theoretical computations with the experimental results indicates that an equation of the KdV type is the proper model of wave behavior at large distances from the source region.

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Two-Dimensional Numerical Model for Studies of Collective Beam-Plasma Interaction

Siberian Journal of Physics ◽

10.54362/1818-7919-2010-5-2-85-97 ◽

2010 ◽

Vol 5 (2) ◽

pp. 85-97

Author(s):

Andrey V. Terekhov ◽

Igor V. Timofeev ◽

Konstantin V. Lotov

Keyword(s):

Numerical Model ◽

Electron Beams ◽

Modulational Instability ◽

Two Dimensional ◽

Particle In Cell ◽

Plasma Energy ◽

Proposed Model ◽

The Laplace Operator ◽

Physical Phenomena ◽

Powerful Electron

A two-dimensional particle-in-cell numerical model is developed to simulate collective relaxation of powerful electron beams in plasmas. To increase the efficiency of parallel particle-in-cell simulations on supercomputers, the Dichotomy Algorithm is used for inversion of the Laplace operator. The proposed model is tested with several well-known physical phenomena and is shown to adequately simulate basic effects of the beam driven turbulence. Also, the modulational instability is studied in the regime when the energy of pumping wave significantly exceeds the thermal plasma energy

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