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Algebraic Analysis Approach for Multibody Problems II
| Title: | Algebraic Analysis Approach for Multibody Problems II |
| Authors: | Oikawa, Shun-ichi Browse this author →KAKEN DB | | Higashi, Koichiro Browse this author | | Funasaka, Hideo Browse this author |
| Keywords: | multibody problem | | algebraic approximation | | binary interaction approximation | | direct integration method |
| Issue Date: | 2010 |
| Publisher: | Japan Society of Plasma Science and Nuclear Fusion Research |
| Journal Title: | Plasma and Fusion Research |
| Volume: | 5 |
| Start Page: | S1048 |
| Publisher DOI: | 10.1585/pfr.5.S1048 |
| Abstract: | The algebraic model (ALG) proposed by the authors has sufficiently high accuracy in calculating the motion of a test particle with all the field particles at rest. When all the field particles are moving, however, the ALG has relatively poor prediction ability on the motion of the test particle initially at rest. None the less, the ALG approximation gives a good results for the statistical quantities, such as variance of velocity changes or the scattering cross section, for a sufficiently large number of Monte Carlo trials. For a 10^[8]-body problem, which corresponds to full three-dimensional Coulomb interactions within the Debye sphere in a fusion plasma, the ALG approximation is 263 times as fast as the 6-stage 5-th order Runge-Kutta-Fehlberg method with an absolute error tolerance of 10^[-16]. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/46912 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 及川 俊一
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