Choice of constants of motion coordinates in numerical solving of the three-dimensional Fokker-Planck equation for tokamaks

Timo Kiviniemi, Jukka Heikkinen

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

A set of constants of motions is chosen which is found suitable for numerical solving of the three-dimensional neoclassical kinetic equation for low collisionality plasmas in tokamaks. With the chosen set, the constants of motion space is well filled with a unique correspondence to the orbits allowed in the configuration. The numerical treatment of the boundary between the trapped and counter-passing particles becomes more straightforward, because the boundary becomes a function of only one constants of motion coordinate.

Original languageEnglish
Pages (from-to)149 - 154
Number of pages6
JournalComputer Physics Communications
Volume107
Issue number1-3
DOIs
Publication statusPublished - 1997
MoE publication typeA1 Journal article-refereed

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Fokker Planck equation
Fokker-Planck equation
Orbits
Plasmas
Kinetics
radiation counters
kinetic equations
orbits
configurations

Cite this

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abstract = "A set of constants of motions is chosen which is found suitable for numerical solving of the three-dimensional neoclassical kinetic equation for low collisionality plasmas in tokamaks. With the chosen set, the constants of motion space is well filled with a unique correspondence to the orbits allowed in the configuration. The numerical treatment of the boundary between the trapped and counter-passing particles becomes more straightforward, because the boundary becomes a function of only one constants of motion coordinate.",
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Choice of constants of motion coordinates in numerical solving of the three-dimensional Fokker-Planck equation for tokamaks. / Kiviniemi, Timo; Heikkinen, Jukka.

In: Computer Physics Communications, Vol. 107, No. 1-3, 1997, p. 149 - 154.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Choice of constants of motion coordinates in numerical solving of the three-dimensional Fokker-Planck equation for tokamaks

AU - Kiviniemi, Timo

AU - Heikkinen, Jukka

N1 - Project code: ENE9606

PY - 1997

Y1 - 1997

N2 - A set of constants of motions is chosen which is found suitable for numerical solving of the three-dimensional neoclassical kinetic equation for low collisionality plasmas in tokamaks. With the chosen set, the constants of motion space is well filled with a unique correspondence to the orbits allowed in the configuration. The numerical treatment of the boundary between the trapped and counter-passing particles becomes more straightforward, because the boundary becomes a function of only one constants of motion coordinate.

AB - A set of constants of motions is chosen which is found suitable for numerical solving of the three-dimensional neoclassical kinetic equation for low collisionality plasmas in tokamaks. With the chosen set, the constants of motion space is well filled with a unique correspondence to the orbits allowed in the configuration. The numerical treatment of the boundary between the trapped and counter-passing particles becomes more straightforward, because the boundary becomes a function of only one constants of motion coordinate.

U2 - 10.1016/S0010-4655(97)00106-9

DO - 10.1016/S0010-4655(97)00106-9

M3 - Article

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SP - 149

EP - 154

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

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