Nonlinear Simulations of Coalescence Instability Using a Flux Difference  Splitting Method

MA Jun (马骏); QIN Hong (秦宏); YU Zhi (于治); LI Dehui (李德徽)

doi:10.1088/1009-0630/18/7/03

Plasma Science and Technology > 2016 > 18(7): 714-719. > DOI: 10.1088/1009-0630/18/7/03

MA Jun (马骏), QIN Hong (秦宏), YU Zhi (于治), LI Dehui (李德徽). Nonlinear Simulations of Coalescence Instability Using a Flux Difference Splitting Method[J]. Plasma Science and Technology, 2016, 18(7): 714-719. DOI: 10.1088/1009-0630/18/7/03

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Nonlinear Simulations of Coalescence Instability Using a Flux Difference Splitting Method

1Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031, China 2Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China 3Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA

Funds: supported by the National Magnetic Connement Fusion Science Program of China (Nos. 2013GB111002, 2013GB105003, 2013GB111000, 2014GB124005, 2015GB111003), National Natural Science Foundation of China (Nos. 11305171, 11405208), JSPS-NRF-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) and the CAS Program for the Interdisciplinary Collaboration Team

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Received Date: August 30, 2015

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Abstract

Abstract

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 this trend continues through all scale-lengths. The physics of this interesting nonlinear dynamics is numerically analyzed.
- magnetohydrodynamics,
- nonlinear simulation,
- finite volume method,
- coalescence instability

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References

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