Published April 1976 | Version v1
Report Metadata-only

Finite element approach to the quasi-linear evolution of the gentle bump instability in a 2-D plasma

Creators

  • 1. Ecole Polytechnique Federale, Lausanne (Switzerland). Centre de Recherches en Physique des Plasmas

Description

Although the basic equation of the quasi-linear theory of plasma turbulence were formulated more than one and half decade ago, it is not yet much known about their solutions for non-one-dimensional systems. By analytical means, only certain general features of possible asymptotic states of the system can be deduced. The relaxation dynamics as well as the final state of the system remain unknown. In the present work an attempt is made to attack these problems by a numerical procedure. In particular, the evolution of the gentle bump instability in a nonmagnetized 2-D plasma is investigated within the framework of the quasi-linear equations by means of the finite element method. (orig.)

Abstract (German)

Obwohl die Grundgleichungen der quasi-linearen Theorie der Plasmaturbulenz bereits vor ueber 15 Jahren formuliert wurden, weiss man bis heute noch nicht sehr viel ueber ihre Loesungen in nicht eindimensionalen Systemen. Mit analytischen Methoden koennen nur bestimmte allgemeine Eigenschaften der moeglichen asymptotischen Zustaende des Systems abgeleitet werden. Sowohl die Dynamik der Relaxation als auch der Endzustand des Systems bleiben unbekannt. In der vorliegenden Arbeit wird der Versuch unternommen diese Probleme mit numerischen Methoden anzugehen. Insbesondere wird im Rahmen der quasi-linearen Gleichungen mit der Methode der finiten Elemente die Entwicklung der leichten Stossinstabilitaet in einem nichtmagnetisierten 2-D Plasma untersucht. (orig.)

Additional details

Publishing Information

Imprint Title
Computing in plasma physics and astrophysics. Proceedings
Imprint Pagination
vp.
Report number
IPP--6/147

Conference

Title
2. European conference on computational physics.
Dates
27 Apr 1976.
Place
Garching/Muenchen, Germany, F.R.

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
8313973
Subject category
S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
Resource subtype / Literary indicator
Conference
Descriptors DEI
COMPUTER CALCULATIONS; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; PLASMA; PLASMA INSTABILITY; QUASILINEAR PROBLEMS; TURBULENCE
Descriptors DEC
EQUATIONS; INSTABILITY; NUMERICAL SOLUTION

Optional Information

Notes
4 figs.; 7 refs.
Secondary number(s)
AED-Conf--76-237-022.