Basic Research on Simulation Model of Moving Finite Element Method
| Project/Area Number |
63580014
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
プラズマ理工学
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| Research Institution | Nihon University |
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Principal Investigator |
KAWAKAMI Ichiro Nihon University, professor, Department of Physics, 理工学部, 教授 (90059056)
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| Co-Investigator(Kenkyū-buntansha) |
SUZUKI Kiyomitu Nihon University, Research Associate, Department of Physics, 理工学部, 助手 (10216369)
AIZAWA Masamitu Nihon University, Research Associate, Department of Physics, 理工学部, 助手 (10150898)
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| Project Period (FY) |
1988 – 1989
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| Project Status |
Completed (Fiscal Year 1989)
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| Budget Amount *help |
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1989: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1988: ¥1,200,000 (Direct Cost: ¥1,200,000)
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| Keywords | SIMULATION / FINITE ELEMENT METHOD / FEMALE / MAGNETIC COORDINATES / GRID GENERATION / TVD / HELICAL SYSTEM / FRC / プラズマ / シミュレーション / 高精度計算 |
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| Research Abstract |
Numerical simulation model which we have been developing is a kind of moving finite element method, referred as FEMALE - Finite Element Method for Arbitrary Lagrangian and Eulerian elements. In this method, the interpolation function obeys a single partial differential equation of hyperbolic type, and characteristics of the equition traces in space and time with thenodal velocity of finite elements. The nodal velocity is determined by the requirement of minimization of evolution of physical variables such as mass, momentum, energy and magnetic flux. Then numerical results are quite accurate. As the minimization principle, we adopted the least square minimization.
In this project, We use the nodal velocity determined by Roe's method which is used for the TVD (Total Variation Diminishing) scheme for the finite difference method of the usual fixed node. The numerical results is certainly better than the results of the usual finite difference TVD method.
In order to seek the other possibilities of computing the nodal velocity, we investigated the magnetic coordinates, and boundary-fitted coordinates system, by actual application to the helical system and FRC equilibrium.
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Report
(3 results)
Research Products
(16 results)
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[Publications] H.Kikuchi, H.Ueno, M.Aizawa, K.Suzuki, H.Gesso, K.Saito, I.Kawakami and S.Shiina: "Equilibrium, Stability, and Transport in L=1 Compact Helical Axis" Proceedings of the First Toki Conference of Plasma Physics and Controlled Fusion, Toki, Japan, 1989.
Description
「研究成果報告書概要(欧文)」より
Related Report
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