Numerical Method for Two-Dimensional Vlasov Equilibrium as a Nonlinear Boundary Value Problem
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- Hamamatsu Kiyotaka
- Faculty of Science, Hiroshima University
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- Watanabe Tsuguhiro
- Institute for Fusion Theory, Hiroshima University
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- Van Dam James W.
- Institute for Fusion Theory, Hiroshima University
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- Nishikawa Kyoji
- Faculty of Science, Hiroshima University
書誌事項
- タイトル別名
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- Numerical Method for Two Dimensional Vl
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A computational method for analyzing axially symmetric Vlasov equilibrium as nonlinear boundary value problem is presented. The method consists of combined use of shooting method and Newton’s method. Equilibrium distribution function is expressed in terms of constants (or quasi-constants) of motion and parameters representing temperature anisotropy and magnetic trapping. Charge and current density calculated are substituted into Maxwell equations which reduce to coupled equations for magnetic flux function and electrostatic potential. These equations are solved by shooting method from two opposite boundaries on which the values are determined by Newton’s iteration scheme such that solution are smoothly connected inside plasma. Some techniques are introduced to remove singularities on symmetry axis and to determine boundary values on vacuum surface. The method is applied to bumpy cylinder with hot electrons and surface plasma and to thermal barrier with sloshing ions, energetic and warm electrons and surface plasma, assuming periodicity along symmetry axis.
収録刊行物
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 52 (1), 124-131, 1983
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679160961280
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- NII論文ID
- 110001966049
- 210000090658
- 130003738761
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1983JPSJ...52..124H
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- COI
- 1:CAS:528:DyaL3sXhtFGhsrs%3D
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 2576382
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可