Survey of 1 12 D Transport Codes

Cover Survey of 1 12 D Transport Codes
Survey of 1 12 D Transport Codes
Harold Grad
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Description 1. Low 3, scalar pressure, classical resistivity, MHD; temperature profile given (no energy equation) • 2. 2D, plasma separated from rectangular box by vacuum region with coils.
3. Toroidal and poloidal external field individually varied.
4. Primarily at resistive skin time scale (slower plasma diffusion is separately computed) .
5. Tokamak, Belt Pinch, Doiablet, and time dependent transitions, 6. Ability to handle low resistivity (adiabatic transition) with accompanying large, loca
...lized current layers (at plasma edge and at separatrix) .
7. Choice of plasma edge BC with skin effect and skinless, 8. Specialized to y = 2.
-43- III. Equations Low 3 formulation [Nice, 19 70] ||- + u-AiJ; = nAip - c(t) Aij; = J(iJ^, t) [J " - 5^ ' P " P + I ^^] = U ([»' o 1 ^^ "o = ^(t)^ ' ^ = - i; dt^ U is the plasma compression induced by changing the zero- order toroidal vacuum field, f (t) .
r The net plasma diffusion, U, = o u 'ds {- ) is higher order on the skin time scale and can be computed (separately) by the formulas V "gh^ Ss-^-^'^t - ^ J (J^')^ dV - V and V r V(JiJj') dV [Grad-Hogan] U = - nKp' - cKijj' [Pfirsch-Schliiter] The complete formulation as used for computation is ^^ + u^tl^' = n (KiJ^' ) ' - c All; = J, J = (Kip') ' -44- IV.


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