A flux difference splitting numerical scheme based on the finite volume method is applied to study ideal/resistive magnetohydrodynamics. The ideal/resistive MHD equations are cast as a set of hyperbolic conservation l...A flux difference splitting numerical scheme based on the finite volume method is applied to study ideal/resistive magnetohydrodynamics. The ideal/resistive MHD equations are cast as a set of hyperbolic conservation laws, and we develop a numerical capability to solve the weak solutions of these hyperbolic conservation laws by combining a multi-state Harten-Lax-Van Leer approximate Riemann solver with the hyperbolic divergence cleaning technique, high order shock-capturing reconstruction schemes, and a third order total variance diminishing Runge-Kutta time evolving scheme. The developed simulation code is applied to study the long time nonlinear evolution of the coalescence instability. It is verified that small structures in the instability oscillate with time and then merge into medium structures in a coherent manner. The medium structures then evolve and merge into large structures, and The physics of this interesting nonlinear dynamics this trend continues through all scale-lengths is numerically analyzed.展开更多
基金supported by the National Magnetic Confinement Fusion Science Program of China(Nos.2013GB111002,2013GB105003,2013GB111000,2014GB124005,2015GB111003)National Natural Science Foundation of China(Nos.11305171,11405208)+2 种基金JSPSNRF-NSFC A3 Foresight Program in the field of Plasma Physics(NSFC-11261140328)the Science Foundation of the Institute of Plasma Physics,Chinese Academy of Sciences(DSJJ-15-JC02)the CAS Program for the Interdisciplinary Collaboration Team
文摘A flux difference splitting numerical scheme based on the finite volume method is applied to study ideal/resistive magnetohydrodynamics. The ideal/resistive MHD equations are cast as a set of hyperbolic conservation laws, and we develop a numerical capability to solve the weak solutions of these hyperbolic conservation laws by combining a multi-state Harten-Lax-Van Leer approximate Riemann solver with the hyperbolic divergence cleaning technique, high order shock-capturing reconstruction schemes, and a third order total variance diminishing Runge-Kutta time evolving scheme. The developed simulation code is applied to study the long time nonlinear evolution of the coalescence instability. It is verified that small structures in the instability oscillate with time and then merge into medium structures in a coherent manner. The medium structures then evolve and merge into large structures, and The physics of this interesting nonlinear dynamics this trend continues through all scale-lengths is numerically analyzed.
