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A three-dimensional non-linear toroidal MHD code, MH3D, has been used to study sawtooth oscillations in tokamaks. The simulation results at high temperature agree with the Kadomtsev model, but good agreement with experiment is obtained only if neoclassical resistivity is used. The result Δq 0 ≃ 0.2 is much larger than the value Δq 0 ≃ 0.01 obtained with classical resistivity. To understand this, a formula for q 0 (t) is derived. A functional dependence of the sawtooth period and a semi-empirical scaling law are presented. There is some evidence that the fast crash time is due to enhanced resistivity at the singular current sheet.
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Park et al. (1990) studied this question.
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