"Shell" approach to modeling of impurity spreading from localized sources in plasma

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Tokar, Mikhail Z.^1 ; Koltunov, Mikhail^1

Institute for Energy and Climate Research-Plasma Physics (IEK-4), Research Center Jülich, Jülich, 52428, Germany^1

关键词: Calculation time;    Different time scale;    Localized source;    Non-stationary phenomenon;    Numerical solution;    One-dimensional equation;    Physical process;    Time-dependent diffusion;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012210/pdf
DOI  :  10.1088/1742-6596/490/1/012210

来源: IOP

【 摘 要 】

In fusion devices strongly localized intensive sources of impurities may arise unexpectedly or can be created deliberately through impurity injection. The spreading of impurities from such sources is essentially three-dimensional and non-stationary phenomenon involving physical processes of extremely different time scales. Numerical modeling of such events is still a very challenging task even by using most modern computers. To diminish drastically the calculation time a "shell" model has been elaborated that allows to reduce equations for particle, parallel momentum and energy balances of various ion species to one-dimensional equations describing the time evolution of radial profiles for several most characteristic parameters. The assumptions of the "shell" approach are verified by comparing its predictions with a numerical solution of one-dimensional time dependent diffusion equation.