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This book is the first to address modeling and simulation science and technology for studying ionized gas phenomena in engineering applications. The first three chapters consist of an introduction to the fundamentals of plasmadynamics, chemical-physics of ionization, formulations of classical magnetohydrodynamics, and their extension to the engineering applications. The next three chapters of the book provide in-depth descriptions of numerical algorithms and procedures for solving Maxwell and Navier-Stokes equations for plasma wave propagation, radar signature prediction, and fluid motion that can enhance aerodynamic performance by electromagnetic effects. Emphasis is placed on overlapping areas of technical issues and realizable application opportunities. The last four chapters discuss the interaction of electromagnetic fields with ionized fluid flow for aerodynamic applications.