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Both macroscopic and microscopic (but still continuum) features are addressed. In order to lay down a good foundation to facilitate discussion of more advanced techniques, the book has been divided into three parts. Part I presents the basic concepts of finite difference schemes for solving parabolic, elliptic and hyperbolic partial differential equations. Part II deals with issues related to computational modeling for fluid flow and transport phenomena. Existing algorithms to solve the Navier-Stokes equations can be generally classified as density-based methods and pressure-based methods. In this book the pressure-based method is emphasized. Recent efforts to improve the performance of the pressure-based algorithm, both qualitatively and quantitatively, are treated, including formulation of the algorithm and its generalization to all flow speeds, choice of coordinate system and primary velocity variables, issues of grid layout, open boundary treatment and the role of global mass conservation, convection treatment and convergence. Practical engineering applications, including gas-turbine combustor flow, heat transfer and convection in high pressure discharge lamps, thermal management under microgravity, and flow through hydraulic turbines are also discussed.
Part III addresses the transport processes involving interfacial dynamics. Specifically those influ