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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…mehr

Produktbeschreibung
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.
Autorenporträt
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.