TESTS FOR THE PROGRAMS USING A HYBRID MODEL FOR PLASMA DYNAMICS NUMERICAL SIMULATION
A. I. Golubev, N. P. Pyatakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. Вып.4. С. 29-38.
The analytical solutions for two model problems were found: the Cauchy problem for the Vlasov kinetic equation with special initial ion distribution at their motion in predetermined homogeneous magnetic field, and the problem for the system of equations of electron gas dynamics and Maxwell equations for the case of perfectly conducting plasma. The solution of the second problem is obtained using the method of trial functions. These solutions can be used for testing the application programs which realize the hybrid plasma model.Keywords: Vlasov kinetic equation, Cauchy problem, method of characteristics, electron hydrodynamics equations, Maxwell equations, trial functions method.
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