Finite Element Computational Gas Dynamics

Multi-Dimensional Upstream Biased Formulation
Erscheinungsjahr 2023
ISBN: 978-0-323-91257-0
Verlag: Elsevier Science

Buch, Englisch, 703 Seiten, Format (B × H): 152 mm x 229 mm

Finite Element Computational Gas Dynamics: Multi-Dimensional Upstream Biased Formulation details a systematic characteristics-based finite element procedure to investigate compressible inviscid and viscous inert and chemically reacting laminar and turbulent flows. The book is structured in two major parts: I) the continuum world and II) the discretized environment. Part I details the development of the governing systems from first thermomechanical principles and establishes an inherently multidimensional upstream bias formulation directly at the differential equation level, before any discretization. Part II presents grid generation techniques that use algebraic and differential methods. These are followed by an optimal finite element formulation that incorporates efficient metric data modelling, high-order Chebyshev elements, and accurate enforcement of boundary conditions. It is also shown that the formulation expands upon the Discontinuous Galerkin Method. The scalability of the overall algorithm is covered in dedicated sections of the book. The overall finite element formulation is then shown to generate accurate essentially non-oscillatory solutions that crisply capture contact discontinuities and normal as well as oblique shocks, for transonic, supersonic, and hypersonic inviscid and viscous as well as steady and unsteady laminar and turbulent flows.

This book is for graduate and upper-level undergraduate students as well as scientists and engineers in Aerospace Engineering, Mechanical Engineering, Physics, and Mathematics.

Autoren/Hrsg.

Iannelli, Joseph

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau

Inhaltsverzeichnis

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

Über Autor(innen)

Iannelli, Joseph
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.