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Produktbild: Optimal Modified Continuous Galerkin CFD

Optimal Modified Continuous Galerkin CFD

177,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

12.05.2014

Verlag

John Wiley & Sons Inc

Seitenzahl

576

Maße (L/B/H)

24,6/16,8/3,3 cm

Gewicht

1016 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-94049-4

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

12.05.2014

Verlag

John Wiley & Sons Inc

Seitenzahl

576

Maße (L/B/H)

24,6/16,8/3,3 cm

Gewicht

1016 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-94049-4

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Optimal Modified Continuous Galerkin CFD
  • Preface xiii
     
    About the Author xvii
     
    Notations xix
     
    1 Introduction 1
     
    1.1 About This Book 1
     
    1.2 The Navier-Stokes Conservation Principles System 2
     
    1.3 Navier-Stokes PDE System Manipulations 5
     
    1.4 Weak Form Overview 7
     
    1.5 A Brief History of Finite Element CFD 9
     
    1.6 A Brief Summary 11
     
    References 12
     
    2 Concepts, terminology, methodology 15
     
    2.1 Overview 15
     
    2.2 Steady DE Weak Form Completion 16
     
    2.3 Steady DE GWSN Discrete FE Implementation 19
     
    2.4 PDE Solutions, Classical Concepts 27
     
    2.5 The Sturm-Liouville Equation, Orthogonality, Completeness 30
     
    2.6 Classical Variational Calculus 33
     
    2.7 Variational Calculus, Weak Form Duality 36
     
    2.8 Quadratic Forms, Norms, Error Estimation 38
     
    2.9 Theory Illustrations for Non-Smooth, Nonlinear Data 40
     
    2.10 Matrix Algebra, Notation 44
     
    2.11 Equation Solving, Linear Algebra 46
     
    2.12 Krylov Sparse Matrix Solver Methodology 53
     
    2.13 Summary 54
     
    Exercises 54
     
    References 56
     
    3 Aerodynamics I: Potential flow, GWSh theory exposition, transonic flow mPDE shock capturing 59
     
    3.1 Aerodynamics, Weak Interaction 59
     
    3.2 Navier-Stokes Manipulations for Aerodynamics 60
     
    3.3 Steady Potential Flow GWS 62
     
    3.4 Accuracy, Convergence, Mathematical Preliminaries 66
     
    3.5 Accuracy, Galerkin Weak Form Optimality 68
     
    3.6 Accuracy, GWSh Error Bound 71
     
    3.7 Accuracy, GWSh Asymptotic Convergence 73
     
    3.8 GWSh Natural Coordinate FE Basis Matrices 76
     
    3.9 GWSh Tensor Product FE Basis Matrices 82
     
    3.10 GWSh Comparison with Laplacian FD and FV Stencils 87
     
    3.11 Post-Processing Pressure Distributions 90
     
    3.12 Transonic Potential Flow, Shock Capturing 92

    3.13 Summary 96
     
    Exercises 98
     
    References 99
     
    4 Aerodynamics II: boundary layers, turbulence closure modeling, parabolic Navier-Stokes 101
     
    4.1 Aerodynamics, Weak Interaction Reprise 101
     
    4.2 Navier-Stokes PDE System Reynolds Ordered 102
     
    4.3 GWSh, n= 2 Laminar-Thermal Boundary Layer 104
     
    4.4 GWSh + thetaTS BL Matrix Iteration Algorithm 108
     
    4.5 Accuracy, Convergence, Optimal Mesh Solutions 111
     
    4.6 GWSh +thetaTS Solution Optimality, Data Influence 115
     
    4.7 Time Averaged NS, Turbulent BL Formulation 116
     
    4.8 Turbulent BL GWSh+ thetaTS, Accuracy, Convergence 120
     
    4.9 GWSh+ thetaTS BL Algorithm, TKE Closure Models 123
     
    4.10 The Parabolic Navier-Stokes PDE System 129
     
    4.11 GWSh +thetaTS Algorithm for PNS PDE System 134
     
    4.12 GWSh +thetaTS k=1 NC Basis PNS Algorithm 137
     
    4.13 Weak Interaction PNS Algorithm Validation 141
     
    4.14 Square Duct PNS Algorithm Validation 147
     
    4.15 Summary 148
     
    Exercises 155
     
    References 157
     
    5 The Navier-Stokes Equations: theoretical fundamentals; constraint, spectral analyses, mPDE theory, optimal Galerkin weak forms 159
     
    5.1 The Incompressible Navier-Stokes PDE System 159
     
    5.2 Continuity Constraint, Exact Enforcement 160
     
    5.3 Continuity Constraint, Inexact Enforcement 164
     
    5.4 The CCM Pressure Projection Algorithm 166
     
    5.5 Convective Transport, Phase Velocity 168
     
    5.6 Convection-Diffusion, Phase Speed Characterization 170
     
    5.7 Theory for Optimal mGWSh+ thetaTS Phase Accuracy 177
     
    5.8 Optimally Phase Accurate mGWSh + thetaTS in n Dimensions 185
     
    5.9 Theory for Optimal mGWSh Asymptotic Convergence 193
     
    5.1