Global simulations using MHD codes - A few points to consider before you try one

Statistics – Computation

Scientific paper

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Computational Fluid Dynamics, Computerized Simulation, Magnetohydrodynamic Flow, Solar System, Astrodynamics, Boundary Conditions, Boundary Value Problems, Earth (Planet), Solar Wind, Time Dependence, Venus (Planet)

Scientific paper

The use of global MHD simulations to study the dynamics of the solar system and to obtain information on the topological structure of the objects is discussed. The significance of the numerical schemes that influence the speed and accuracy with which the MHD equations are solved, the dimensionality which is related to the fidelity of the simulation to the real system, and the boundary conditions that determine the physical systems to be simulated is examined. The categorization of the numerical schemes, dimensionality, and boundary conditions are described; the relation between boundary conditions and IMF and plane symmetry is investigated. The numerical schemes used to solve a hyperbolic set of MHD equations are analyzed. The need to select a proper numerical scheme and boundary conditions in order to develop global simulation capabilities is studied.

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