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In this paper, the spacetime conservation element and solution element (CESE) method is applied to three- dimensional magnetohydrodynamics (MHD) equations in Cartesian coordinates for solar wind plasma, with the purpose of modeling the steady state solar atmospheric study. To illustrate this newly developed scheme we have studied two examples: (1) two-dimensional coronal dynamical structure with multipole magneticfields and (2) three- dimensional coronal dynamical structure, using measuredsolar surface magnetic fields and the empirical values of the plasma properties on the solar surface as the initial conditions for the set of MHD equations and then the relaxationmethod toachieve aq uasiYsteadystate.From these examples we have shown that the newlydeveloped modified spacetime CESE scheme possesses the ability to model the Sun-Earth environment and other astrophysical flows.

A Novel Numerical Implementation for Solar Wind Modeling by the Modified Conservation Element/Solution Element Method