Numerical calculation of neoclassical distribution functions in an axisymmetric torus

Details Numerical calculation of neoclassical distribution functions in an axisymmetric torus Numerical calculation of neoclassical distribution functions in an axisymmetric torus

Mar 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..apr.s1057l&link_type=abstract

American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #S1.057

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We solve for stationary, axisymmetric distribution functions (f) in the conventional banana regime for both ions and electrons using a set of drift-kinetic equations (DKEs) with complete Landau collision operators. Solubility conditions on the DKEs determine the relevant non-Maxwellian pieces of f (called fNM). We work in a 4D phase space in which ψ defines a flux surface, θ is the poloidal angle, v is the total velocity, and λ is the pitch angle parameter. We expand fNM in finite elements in both v and λ. The Rosenbluth potentials, φ and ψ, which define the collision operator, are expanded in Legendre series in χ, where χ is the pitch angle, Fourier series in θ, and finite elements in v. At each ψ, we solve a block tridiagonal system for fNMi (independent of fe), then solve another block tridiagonal system for fNMe (dependent on fi). We demonstrate that such a formulation can be accurately and efficiently solved. Results will be benchmarked against other codes (e.g., NEO) and could be used as a kinetic closure for an MHD code (e.g., M3D-C1). Results will also include the lowest-order collisionality correction and the use of generalized Grad-Shafranov equilibria.

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