Explicit Runge–Kutta integrator with Hamiltonian correction for long-time simulations of guiding-center orbit in tokamak configurations

Physics of Plasmas - Tập 15 Số 12 - 2008
Xiaotao Xiao1,2, Shaojie Wang1,3
1Center for Magnetic Fusion Theory 3 , Chinese Academy of Sciences, Hefei, 230031, China
2Institute of Plasma Physics 1 , Chinese Academy of Sciences, Hefei, 230031, China
3University of Science and Technology of China 2 Department of Modern Physics, , Hefei, 230026, China

Tóm tắt

Hamiltonian correction method is proposed to improve the variable time-step fourth-order Runge–Kutta methods in computing guiding-center orbits in a tokamak. It is found that the new method can significantly improve the computation efficiency of the conventional Runge–Kutta method in simulation of the long-time behavior of the guiding-center orbits.

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Tài liệu tham khảo

1983, J. Plasma Phys., 29, 111, 10.1017/S002237780000060X

1985, Phys. Fluids, 28, 2015, 10.1063/1.865379

1980, Phys. Fluids, 23, 904, 10.1063/1.863080

1982, Phys. Fluids, 25, 575, 10.1063/1.863773

2003, Phys. Plasmas, 10, 573, 10.1063/1.1544500

2006, Phys. Plasmas, 13, 052506, 10.1063/1.2199789

2007, Phys. Plasmas, 14, 102506, 10.1063/1.2786061

2001, Phys. Plasmas, 8, 5192, 10.1063/1.1416486

1997, Phys. Plasmas, 4, 3273, 10.1063/1.872468

1995, Phys. Plasmas, 2, 2915, 10.1063/1.871191

2008, Phys. Rev. Lett., 100, 035006, 10.1103/PhysRevLett.100.035006

1981, Phys. Fluids, 24, 1999, 10.1063/1.863297

1996, Phys. Plasmas, 3, 1176, 10.1063/1.871772

1984, Phys. Fluids, 27, 2455, 10.1063/1.864527

1986, Numerical Recipes, 554

1983, IEEE Trans. Nucl. Sci., NS-30, 2669, 10.1109/TNS.1983.4332919

1998, Phys. Plasmas, 5, 3319, 10.1063/1.872999

2003, Symplectic Algorithms of Hamiltonian Systems, p