Time Evolution of Tokamak States With Flow

Cover Time Evolution of Tokamak States With Flow
Time Evolution of Tokamak States With Flow
W Kerner
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The geometry of this magnetic field configuration is then used in the averaging process to determine diffusion later on. All other quantities are then defined. The entropy of this system is given up to an arbitrary constant according to eq. (8): s (o) . R tnrfoH/y-ly^o)) m (36) The PDE, eq. (35), is solved by the finite-element method where higher-order elements (8-node quadrilateral elements) are used. By mesh rearrangement in the iteration the nodel points are put on surfaces of constant flux.... The final equilibrium is obtained in flux coordinates without directly employing a flux coordinate system. In this fashion equilibria are computed very efficiently, as demonstrated in Ref. [11].
-19- IV. FIRST ORDER The firsts-order corrections in e to the basic equilibrium are evaluated. Again there must be no source terms and no time variation ((3/3t) - o). We start with the continuity equation, which is of the form V-(pv) (1 } = = V. (p (o) v (1 } ), (37) which is satisfied by the introduction of a stream function for the first-order velocity: p (0) v (, ) = vx (1) xve + P (0) v (1) ve .


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