Physics
Scientific paper
Jul 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003icrc....4.2035j&link_type=abstract
Proceedings of the 28th International Cosmic Ray Conference. July 31-August 7, 2003. Trukuba, Japan. Under the auspices of the I
Physics
Scientific paper
We are developing a new, fast numerical scheme for the CR diffusion convection equation to be applied to the study of the nonlinear time evolution of CR modified shocks for arbitrary spatial diffusion properties. The scheme uses a coarse-grained finite volume method in momentum space that is an extension of methods intro duced by us previously. This approach has enabled us to carry out simulations using only 6-10 momentum bins spanning several orders of magnitude in momentum that agree well in comparisons with results from simulations of modified shocks carried out with our conventional finite difference scheme based on more than an order of magnitude more momentum points. The coarse-grained solutions are faster by a factor that scales approximately with the reduction in the number of momentum bins.
Jones Thomas W.
Kang Hyesung
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