An Entropy-stable Ideal EC-GLM-MHD Model for the Simulation of the Three-dimensional Ambient Solar Wind

The main aim of the current work is to apply Roe+Lax–Friedrichs (LF) hybrid entropy-stable scheme simulation three-dimensional ambient solar wind. governing equations for wind flow and magnetic field utilize entropy-consistent nine-wave divergence diminishing ideal magnetohydrodynamics (MHD) equations, which are symmetric Galilean invariant with some nonconservative terms proportional or gradient Lagrange multiplier ?. By using solenoidality-preserving non-negativity-preserving reconstruction, error further constrained, densities pressures reliably guaranteed. Moreover, entropy used as an auxiliary equation completely avoid appearance negative pressure, independent any numerical flux can be retrofit into MHD straightforwardly. All properties referred above make newly developed more handy robust cope high Mach number low plasma ? situations. After experiments consistency robustness proposed through two simple tests, we carry out large-scale structures Carrington Rotation 2183 (CR 2183) in a six-component grid system initial potential obtained from Helioseismic Magnetic Imager magnetogram by retaining spherical harmonics degree 50. comparisons results remote sensing observations situ data show that new model has capability produce structured