Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Georg Knorr"'
Autor:
Gerhard Ströhmer, Georg Knorr
Publikováno v:
Zeitschrift für Naturforschung A. 48:679-691
A new base for three-dimensional divergence-free vector fields in Hilbert space (Galerkin method) is proposed. The base fields have vanishing boundary conditions for their curl and are useful to solve the incompressible Navier-Stokes equation. The ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c092284ce7a9642e961e49cd6fff4a41
https://doi.org/10.1515/zna-1993-5-618
https://doi.org/10.1515/zna-1993-5-618
Publikováno v:
Zeitschrift für Naturforschung A. 45:1059-1073
The three-dimensional incompressible Euler equations are expanded in eigenflows of the curl operator, which represent positive and negative helicity flows in a particularly simple and convenient way. Four different basic types of interactions between
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9116ae40ec63a975ca1066bfaa0b256
https://doi.org/10.1515/zna-1990-9-1002
https://doi.org/10.1515/zna-1990-9-1002
Autor:
Magdi Shoucri, Georg Knorr
Publikováno v:
Journal of Computational Physics. 14:84-92
This work describes a numerical method for the solution of the nonlinear Vlasov equation. The distribution function is expanded in a series of orthogonal polynomials, namely the Chebyshev polynomials. The conditions under which this expansion is vali
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21ed2e4b2cb253ec7f7a6956a26d1e7d
https://doi.org/10.1016/0021-9991(74)90006-0
https://doi.org/10.1016/0021-9991(74)90006-0
Autor:
Michael Mond, Georg Knorr
Publikováno v:
Journal of Plasma Physics. 19:121-133
A kinetic equation for a two-dimensional inviscid hydrodynamic fluid is derived in two ways. First, the equations of motion for the modes of the fluid are interpreted as stochastic equations resembling the Langevin equation. To lowest order a Fokker
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1affc77b61453d2c653d807563473cd3
https://doi.org/10.1017/s0022377800023692
https://doi.org/10.1017/s0022377800023692
Publikováno v:
Physical Review Letters. 33:754-757
The ion-ion instability is studied in a cylindrical double-plasma device. Low-frequency cylindrical standing waves are found which are one-dimensional in character with frequency proportional to beam velocity. An approximate dispersion relation for t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4cb8610741b977c34f172521c20e397
https://doi.org/10.1103/physrevlett.33.754
https://doi.org/10.1103/physrevlett.33.754
Autor:
Yehuda Salu, Georg Knorr
Publikováno v:
Journal of Computational Physics. 17:68-78
The spectral method is shortly reviewed and then applied to equations of two- and three-dimensional guiding center plasmas. Some linear and nonlinear phenomena have been studied. It is shown that the spectral method can be used on a wide range of pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f73c2729582942c3648614b35671547f
https://doi.org/10.1016/0021-9991(75)90063-7
https://doi.org/10.1016/0021-9991(75)90063-7
Autor:
Georg Knorr
Publikováno v:
Journal of Plasma Physics. 17:553-569
A statistical description of the Vlasov equation is made possible by truncation of phase space in the velocity co-ordinates and writing the equation in terms of Fourier components in configuration and velocity space. Invariants of the resulting nonli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::686da0b1726d3eb36bb60502be949693
https://doi.org/10.1017/s0022377800020808
https://doi.org/10.1017/s0022377800020808
Publikováno v:
Plasma Physics and Controlled Fusion. 31:173-183
A representation of a finite Larmor radius plasma is proposed, which permits the transition rL to infinity without becoming mathematical ill-posed. It is being used in a two-dimensional spectral plasma code in which both the ions and electrons are re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::901a5bf60c237067e46342fefdab3497
https://doi.org/10.1088/0741-3335/31/2/003
https://doi.org/10.1088/0741-3335/31/2/003
Autor:
Georg Knorr
Publikováno v:
Plasma Physics. 19:529-538
The long time asymptotic state of a two dimensional electrostatic ion-electron Vlasov plasma is investigated. It is found that the spectrum is given by mod Ek mod 2 alpha ( beta +ak2)-1, where beta and alpha are determined by the initial conditions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa7b812cc5bcf9f53f330c844ab8d0c2
https://doi.org/10.1088/0032-1028/19/6/004
https://doi.org/10.1088/0032-1028/19/6/004
Publikováno v:
Physica Scripta. 38:829-834
A representation of a finite Larmor radius plasma is proposed, which permits the transition rL → ∞ without becoming mathematically ill-posed. It is being used in a two-dimensional guiding center plasma spectral code and may have useful analytical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c662ef7d9d0b9eda06236654905420dd
https://doi.org/10.1088/0031-8949/38/6/014
https://doi.org/10.1088/0031-8949/38/6/014