The book covers intimately all the topics necessary for the development of a robust magnetohydrodynamic (MHD) code within the framework of the cell-centered finite volume method (FVM) and its applications in space weather study. First, it presents a brief review of existing MHD models in studying solar corona and the heliosphere. Then it introduces the cell-centered FVM in three-dimensional computational domain. Finally, the book presents some applications of FVM to the MHD codes on spherical coordinates in various research fields of space weather, focusing on the development of the 3D Solar-InterPlanetary space-time Conservation Element and Solution Element (SIP-CESE) MHD model and its applications to space weather studies in various aspects. The book is written for senior undergraduates, graduate students, lecturers, engineers and researchers in solar-terrestrial physics, space weather theory, modeling, and prediction, computational fluid dynamics, and MHD simulations. It helps readers to fully understand and implement a robust and versatile MHD code based on the cell-centered FVM.

This report covers technical progress during the fourth quarter of the second year of NASA Sun-Earth Connections Theory Program (SECTP) contract "The Structure and Dynamics of the Solar Corona and Inner Heliosphere," NAS5-99188, between NASA and Science Applications International Corporation (SAIC), and covers the period May 16, 2001 to August 15, 2001. Under this contract SAIC and the University of California, Irvine (UCI) have conducted research into theoretical modeling of active regions, the solar corona, and the inner heliosphere, using the MHD (magnetohydrodynamic) model.Mikic, Zoran and Grebowsky, J. (Technical Monitor)Goddard Space Flight CenterSOLAR CORONA; MAGNETOHYDRODYNAMICS; HELIOSPHERE; MATHEMATICAL MODELS; SOLAR ECLIPSES; STELLAR STRUCTURE; COMPUTERIZED SIMULATION

This report covers technical progress during the fourth quarter of the second year of NASA Sun-Earth Connections Theory Program (SECTP) contract "The Structure and Dynamics of the Solar Corona and Inner Heliosphere," NAS5-99188, between NASA and Science Applications International Corporation (SAIC), and covers the period May 16, 2001 to August 15, 2001. Under this contract SAIC and the University of California, Irvine (UCI) have conducted research into theoretical modeling of active regions, the solar corona, and the inner heliosphere, using the MHD (magnetohydrodynamic) model.

This report details progress during the first quarter of the first year of our Sun-Earth Connections Theory Program (SECTP) contract. Science Applications International Corporation (SAIC) and the University of California, Irvine (UCI) have conducted research into theoretical modeling of active regions, the solar corona, and the inner heliosphere, using the MHD model.Mikic, Zoran and Grebowsky, J. (Technical Monitor)Goddard Space Flight CenterHELIOSPHERE; SOLAR CORONA; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; PREDICTIONS; SUN; SOLAR MAGNETIC FIELD; SOLAR ECLIPSES; THREE DIMENSIONAL MODELS; SOLAR WIND; UNSTRUCTURED GRIDS (MATHEMATICS); EARTH-MOON SYSTEM

Under this contract SAIC, the University of California, Irvine (UCI), and the Jet Propulsion Laboratory (JPL), have conducted research into theoretical modeling of active regions, the solar corona, and the inner heliosphere, using the MHD model. During the period covered by this report we have published 17 articles in the scientific literature. These publications are listed in Section 4 of this report. In the Appendix we have attached reprints of selected articles. Mikic, Zoran Goddard Space Flight Center MATHEMATICAL MODELS; SOLAR CORONA; MAGNETOHYDRODYNAMICS; JET PROPULSION; HELIOSPHERE; RESEARCH AND DEVELOPMENT...

This report covers technical progress during the fourth quarter of the second year of NASA Sun-Earth Connections Theory Program (SECTP) contract 'The Structure and Dynamics of the Solar Corona and Inner Heliosphere,' NAS5-99188, between NASA and Science Applications International Corporation, and covers the period May 16,2001 to August 15, 2001. Under this contract SAIC and the University of California, Irvine (UCI) have conducted research into theoretical modeling of active regions, the solar corona, and the inner heliosphere, using the MHD model.Mikic, Zoran and Grebowsky, Joseph M. (Technical Monitor)Goddard Space Flight CenterHELIOSPHERE; MAGNETOHYDRODYNAMICS; SOLAR PHYSICS; SOLAR CORONA; THREE DIMENSIONAL MODELS; SUN