The course is particularly determined to students whose topic of dissertation is focused at modelling of space plasma. The course introduces fundamental numerical methods used in the field of space plasma modelling: - Space plasma, hierarchy of structures and processes, particle and continuous simulation methods, hybrid approach. - Hydrodynamics of magnetised low beta plasma, timescales and decoupling of individual processes - timestep splitting vs implicit methods. ? Single fluid and double fluid models. transport coefficients, simulation packages - FLASH. - Plasma in MHD approximation. - Test particle method, Guiding Centre Approximation, Full Orbit Approximation. - Particle In Cell methods and their applications in astrophysics. - Transport of high energy charged particles in space plasma, Fokker-Planck and Monte Carlo description. - Radiative processes in space plasma. Optically thin and thick approximation, generation of observables. - Modelling of optically thin spectra in EUV band. - Basic principles of numerical treatment of non-LTE radiative transfer in optically thick plasma. - Modelling of thermal and non-thermal HXR bremsstrahlung and its basic characteristics. - Basic principles of radiative hydrodynamics. - Hybrid codes.
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