Finite Element Computational Gas Dynamics

Joseph Iannelli is a Professor of Mechanical Engineering at Washington State University, Washington’s land-grant university, and possesses over 25 years of experience in teaching, research, and development in Gas Dynamics, Finite Element Methods, and Scientific and Engineering Computing, with emphasis on the computation of subsonic, transonic, supersonic, and hypersonic flows. He is the recipient of several professional awards, including an Exxon Professorship, an Alumni Association Outstanding Teaching recognition, and served as co-director of the historically first British Centre for Aeronautics at the City University, London. After investigating CFD algorithms for reactive flows at ICOMP, NASA Lewis, now Glenn, his research on characteristics based Finite Element Methods led to his first full-length textbook on CFD in 2006. He also synthesized over 20 software packages in object-oriented C++ to implement and teach several Finite Element algorithms. He has presented his CFD research domestically and internationally, in Asia and Europe, and he is now leading the establishment of a transatlantic computational mechanics program involving his university, industry, and Sweden’s National Supercomputer Center to inspire a new generation of domestic and international students towards CFD.

Part I: The Continuum World 1. Governing Equations of Gas Dynamics 2. Constitutive and State Equations for Perfect and Reacting Gases 3. Euler and Navier-Stokes Compressible Flow Systems 4. One-Dimensional Non-Discrete Characteristics-Bias Resolution 5. Multi-Dimensional Characteristics and Characteristics-Bias Systems 6. Initial and Boundary Conditions

Part II: The Discretized Environment 7. Components of CFD Processes 8. Grid Generation 9. The Finite Element Method 10. Control of Characteristics-Bias 11. Non-Linearly Stable Implicit Runge-Kutta Time Integrations 12. Optimal Direct and Iterative Solution of Algebraic Equation Systems 13. CFD Investigation of Generalized Quasi-1-D Compressible Flows 14. Multi-Dimensional Computational Gas Dynamics