Characteristics Finite Element Methods in Computational Fluid Dynamics

Inbunden, Engelska, 2006

AvJoe Iannelli,Giuseppe Iannelli

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The book details multi-dimensional upstream-bias algorithms for the numerical solution of the Euler and Navier-Stokes equations. Several sections derive the Fluid Dynamics equations from fundamental thermo-mechanics principles and systematically develops multi-dimensional upstream CFD algorithms with finite element procedures and implicit Runge-Kutta time integration algorithms. For mesh independence the formulation is developed at the differential equation level, before any spatial discretization. This formulation generates non-discrete characteristics-bias systems that incorporate an intrinsically multi-dimensional and infinite-directional genuinely upwind dissipation mechanism. A traditional centered discretization of the characteristics-bias system then automatically generates consistent and multi-dimensional arbitrary-mesh upstream discretizations of the Euler and Navier-Stokes Equations.

Produktinformation

Utgivningsdatum2006-08-22
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieComputational Fluid and Solid Mechanics
Antal sidor730
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540251811

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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.

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.