| 3 | 3 | ISSDE Monte-Carlo full-orbit-following program is based on the stochastic equivalence of Fokker-Planck equation and Stratonovich SDE. Stratonovich SDE is divided into deterministic part and stochastic part by splitting the dynamic system. The deterministic part is solved by the volume-preserving algorithm, and the stochastic part is discretized by the midpoint scheme according to the requirements of the Euler-Maruyama numerical method and the definition of the Stratonovich integral, and then solved by the quasi-Newton method. The correctness of ISSDE has been verified by the analytical solution of FP equation, and the corresponding results for electron-electron collision process are also consistent with the physical process. Compared with the stochastic Runge-Kutta method, the ISSDE can limit the numerical error of the conservative system energy to a very small range. ISSDE has been used to study fast ion loss and slowing down in EAST. |
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