Simulations of shock acceleration in the corona and inner heliosphere: progress and challenges

Rami Vainio, University of Turku

I will present an overview talk on the simulations of shock acceleration in the solar corona and inner heliosphere, concentrating on recent advances and remaining challenges. While most progress has been made on understanding shock acceleration of ions, electron acceleration at shocks has been modeled as well. The presentation will include the various test-particle approaches as well as approaches with various levels of self-consistency added to the modelling from inclusion of self-generated waves to full plasma simulations of shocks. I will discuss the challenges faced by the simulation models especially in terms of very large separation of scales relevant to the problem, and discuss possible future avenues to overcome these issues.