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Optimal modified continuous Galerkin CFD /

"Covers the theory and applications of using weak form theory in incompressible fluid-thermal sciences Giving you a solid foundation on the Galerkin finite-element method (FEM), this book promotes the use of optimal modified continuous Galerkin weak form theory to generate discrete approximate...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Baker, A. J., 1936-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Chichester, West Sussex, United Kingdom : John Wiley & Sons Inc., 2014.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Baker, A. J.,  |d 1936- 
245 1 0 |a Optimal modified continuous Galerkin CFD /  |c A.J. Baker. 
264 1 |a Chichester, West Sussex, United Kingdom :  |b John Wiley & Sons Inc.,  |c 2014. 
264 4 |c ©2014 
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520 |a "Covers the theory and applications of using weak form theory in incompressible fluid-thermal sciences Giving you a solid foundation on the Galerkin finite-element method (FEM), this book promotes the use of optimal modified continuous Galerkin weak form theory to generate discrete approximate solutions to incompressible-thermal Navier-Stokes equations. The book covers the topic comprehensively by introducing formulations, theory and implementation of FEM and various flow formulations. The author first introduces concepts, terminology and methodology related to the topic before covering topics including aerodynamics; the Navier-Stokes Equations; vector field theory implementations and large eddy simulation formulations. Introduces and addresses many different flow models (Navier-Stokes, full-potential, potential, compressible/incompressible) from a unified perspective Focuses on Galerkin methods for CFD beneficial for engineering graduate students and engineering professionals Accompanied by a website with sample applications of the algorithms and example problems and solutions This approach is useful for graduate students in various engineering fields and as well as professional engineers"--  |c Provided by publisher 
520 |a "This book promotes the use of optimal modified continuous Galerkin weak form theory to generate discrete approximate solutions to incompressible-thermal Navier-Stokes equations"--  |c Provided by publisher 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record and CIP data provided by publisher. 
505 0 |a Optimal Modified Continuous Galerkin CFD; Contents; Preface; About the Author; Notations; 1 Introduction; 1.1 About This Book; 1.2 The Navier-Stokes Conservation Principles System; 1.3 Navier-Stokes PDE System Manipulations; 1.4 Weak Form Overview; 1.5 A Brief History of Finite Element CFD; 1.6 A Brief Summary; References; 2 Concepts, terminology, methodology; 2.1 Overview; 2.2 Steady DE Weak Form Completion; 2.3 Steady DE GWSN Discrete FE Implementation; 2.4 PDE Solutions, Classical Concepts; 2.5 The Sturm-Liouville Equation, Orthogonality, Completeness; 2.6 Classical Variational Calculus. 
505 8 |a 2.7 Variational Calculus, Weak Form Duality2.8 Quadratic Forms, Norms, Error Estimation; 2.9 Theory Illustrations for Non-Smooth, Nonlinear Data; 2.10 Matrix Algebra, Notation; 2.11 Equation Solving, Linear Algebra; 2.12 Krylov Sparse Matrix Solver Methodology; 2.13 Summary; Exercises; References; 3 Aerodynamics I: Potential flow, GWSh theory exposition, transonic flow mPDE shock capturing; 3.1 Aerodynamics, Weak Interaction; 3.2 Navier-Stokes Manipulations for Aerodynamics; 3.3 Steady Potential Flow GWS; 3.4 Accuracy, Convergence, Mathematical Preliminaries. 
505 8 |a 3.5 Accuracy, Galerkin Weak Form Optimality3.6 Accuracy, GWSh Error Bound; 3.7 Accuracy, GWSh Asymptotic Convergence; 3.8 GWSh Natural Coordinate FE Basis Matrices; 3.9 GWSh Tensor Product FE Basis Matrices; 3.10 GWSh Comparison with Laplacian FD and FV Stencils; 3.11 Post-Processing Pressure Distributions; 3.12 Transonic Potential Flow, Shock Capturing; 3.13 Summary; Exercises; References; 4 Aerodynamics II: boundary layers, turbulence closure modeling, parabolic Navier-Stokes; 4.1 Aerodynamics, Weak Interaction Reprise; 4.2 Navier-Stokes PDE System Reynolds Ordered. 
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650 0 |a Finite element method. 
650 0 |a Galerkin methods. 
650 6 |a Mécanique des fluides. 
650 6 |a Méthode des éléments finis. 
650 6 |a Méthode de Galerkin. 
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