This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. The fluid dynamics equations are derived from basic thermo-mechanical principles and the multi-dimensional and infinite-directional upstream procedure is developed by combining a finite element discretization of a characteristics-bias system with an implicit Runge-Kutta time integration. For the computational solution of the Euler and Navier Stokes equations, the procedure relies on the mathematics and physics of multi-dimensional characteristics. As a result, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows.

Autorentext

Joe Iannelli received a Diploma in Fluid Dynamics from the von Karman Institute for Fluid Dynamics, a summa cum laude MSc "Laurea" in Aeronautical Engineering from the University of Palermo, and his PhD in Engineering Science, with concentration in compressible-flow CFD, from the University of Tennessee. After investigating CFD algorithms for reactive flows at ICOMP, NASA Lewis, now Glenn, he has been a tenured Associate Professor of Mechanical, Aerospace, and Biomedical Engineering at the University of Tennessee, and is now an Associate Professor ( Reader ) of Aeronautical Engineering at the City University of London, where he also serves as director of the historically first British Center for Aeronautics. A senior member of the American Institute of Aeronautics and Astronautics and the recipient of several awards, including an Exxon Professorship and an Alumni Association Outstanding Teaching Award, both from the University of Tennessee, he has researched CFD algorithms for over two decades, has authored numerous papers in Finite Element CFD and remains actively engaged in teaching and research in Propulsion and Engineering and Scientific Computing.

Inhalt
Governing Equations of Fluid Mechanics.- Constitutive and State Equations.- State Equations for Reacting Air.- Euler and Navier Stokes Systems.- Quasi One-Dimensional and Free-Surface Equations.- Overview of CFD Algorithm Development.- The Finite Element Method.- Non-Linearly Stable Implicit Runge-Kutta Time Integrations.- One-Dimensional Non-Discrete Characteristics-Bias Resolution.- Characteristics-Bias Controller and Length.- Computational Analysis of Quasi-1-D Incompressible Flows.- Numerical Study of Generalized Quasi-1-D Free Surface Flows.- CFD Investigation of Generalized Quasi-1-D Compressible Flows.- Multi-Dimensional Characteristics and Characteristics-Bias Systems.- Multi-Dimensional Incompressible Flows.- Multi-Dimensional Free-Surface Flows.- Multi-Dimensional Compressible Flows.