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This a reproduction of Chudnovskiy's 2003 tearing mode simulation with biased limiters.

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jwbrooks0/T10_Chudnovskiy_Simulation

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T10_Chudnovskiy_Simulation

Introduction

The attached code and Latex writeup contain my reproduction of Chudnovskiy's 2003 tearing mode simulation on the T-10 tokamak and also makes use of a followup T-10 arictle by Ivanov to fill in some of the details. The original papers on this simulation provided only the original equations and only a few of the associated initial conditions and assumptions. Many details, including any details on the numerical scheme, were not provided, and I made many interpretive guesses to fill in the blanks.

Status

Note that as of the present (Dec. 5, 2018), the code appears to be mostly working. I've been able to mostly reproduce the feedforward and feedback portions of the simulation. There are a few differences that are likely attributable to small differences in initial conditions and possibly small bugs. I've tried altering the q-profile to create the 5 Guass amplitudes in the 2003 paper but have had limited success.

Initial conditions:

Initial conditions

Feedforward results:

Feedforward results Feedforward animation

Feedback results:

Mode suppression

Feedforward results, mode suppression

Mode amplification

Feedforward results, mode amplification

Todo

TODO(John) Experiment with different ICs to make the results agree better

TODO(John) Cleanup code to make it more user-friendly.

TODO(John) Figure out why the sign on the feedback gain is wrong.

TODO(John) Double check the non-dimensionalized equations and then implement them

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This a reproduction of Chudnovskiy's 2003 tearing mode simulation with biased limiters.

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