Numerical Techniques for Coupled Ring Current - Radiation Belt Modelling

Tuesday, 15 December 2015
Poster Hall (Moscone South)
Nikita Aseev and Yuri Shprits, University of California Los Angeles, Los Angeles, CA, United States
The dynamics of electrons in the Earth’s radiation belts can be described by the Fokker-Planck equation which includes radial diffusion and local energy and pitch angle diffusion. Versatile Electron Radiation Belt (VERB-3D) code was developed to solve the Fokker-Planck equation. It incorporates a range of numerical techniques which are appropriate for this purpose. The code has been recently extended to include convection and now solves the convection-diffusion problem in 4D.

The report is devoted to several numerical algorithms for modeling of the Earth’s radiation belts. We concentrate on high-order schemes ( 7th and 9th order) for solution of an advection-diffusion problem in 1D, 2D,3D and 4D. Results of tests performed to study accuracy and speed of these schemes are presented in the report.