MHD equilibrium: Difference between revisions

Revision as of 10:11, 14 August 2009

The ideal Magneto-HydroDynamic (MHD) equilibrium of a near-Maxwellian magnetically confined plasma is obtained by solving the force balance equation

{\vec {\nabla }}p={\vec {j}}\times {\vec {B}}

subject to appropriate boundary conditions. In two dimensions (assuming axisymmetry), this reduces to the Grad-Shafranov equation.

A large number of codes is available to evaluate MHD equilibria.

@@ Line 3: / Line 3: @@
 :<math>\vec \nabla p = \vec j \times \vec B</math>
-A large number of codes is available to evaluate the MHD equilibria.
+subject to appropriate boundary conditions.
+In two dimensions (assuming axisymmetry), this reduces to the
+[[:Wikipedia:Grad-Shafranov equation|Grad-Shafranov equation]].
+A large number of codes is available to evaluate MHD equilibria.
 == 2-D codes ==