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Optimal modified continuous Galerkin CFD / / A. J. Baker
| Optimal modified continuous Galerkin CFD / / A. J. Baker |
| Autore | Baker A. J. <1936-> |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (576 p.) |
| Disciplina | 518/.63 |
| Soggetto topico |
Fluid mechanics
Finite element method Galerkin methods |
| ISBN |
1-118-40271-5
1-118-40307-X 1-118-40308-8 |
| Classificazione | TEC006000 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
2.7 Variational Calculus, Weak Form Duality 2.8 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 3.5 Accuracy, Galerkin Weak Form Optimality 3.6 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 4.3 GWSh, n= 2 Laminar-Thermal Boundary Layer 4.4 GWSh + θTS BL Matrix Iteration Algorithm; 4.5 Accuracy, Convergence, Optimal Mesh Solutions; 4.6 GWSh + θTS Solution Optimality, Data Influence; 4.7 Time Averaged NS, Turbulent BL Formulation; 4.8 Turbulent BL GWSh + θTS, Accuracy, Convergence; 4.9 GWSh + θTS BL Algorithm, TKE Closure Models; 4.10 The Parabolic Navier-Stokes PDE System; 4.11 GWSh + θTS Algorithm for PNS PDE System; 4.12 GWSh + θTS k =1 NC Basis PNS Algorithm; 4.13 Weak Interaction PNS Algorithm Validation; 4.14 Square Duct PNS Algorithm Validation; 4.15 Summary; Exercises References 5 The Navier-Stokes Equations: theoretical fundamentals; constraint, spectral analyses, mPDE theory, optimal Galerkin weak forms; 5.1 The Incompressible Navier-Stokes PDE System; 5.2 Continuity Constraint, Exact Enforcement; 5.3 Continuity Constraint, Inexact Enforcement; 5.4 The CCM Pressure Projection Algorithm; 5.5 Convective Transport, Phase Velocity; 5.6 Convection-Diffusion, Phase Speed Characterization; 5.7 Theory for Optimal mGWSh + θTS Phase Accuracy; 5.8 Optimally Phase Accurate mGWSh + θTS in n Dimensions; 5.9 Theory for Optimal mGWSh Asymptotic Convergence 5.10 The Optimal mGWSh + θTS k = 1 Basis NS Algorithm |
| Record Nr. | UNINA-9910132234503321 |
Baker A. J. <1936->
|
||
| Chichester, England : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimal modified continuous Galerkin CFD / / A. J. Baker
| Optimal modified continuous Galerkin CFD / / A. J. Baker |
| Autore | Baker A. J. <1936-> |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (576 p.) |
| Disciplina | 518/.63 |
| Soggetto topico |
Fluid mechanics
Finite element method Galerkin methods |
| ISBN |
1-118-40271-5
1-118-40307-X 1-118-40308-8 |
| Classificazione | TEC006000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
2.7 Variational Calculus, Weak Form Duality 2.8 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 3.5 Accuracy, Galerkin Weak Form Optimality 3.6 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 4.3 GWSh, n= 2 Laminar-Thermal Boundary Layer 4.4 GWSh + θTS BL Matrix Iteration Algorithm; 4.5 Accuracy, Convergence, Optimal Mesh Solutions; 4.6 GWSh + θTS Solution Optimality, Data Influence; 4.7 Time Averaged NS, Turbulent BL Formulation; 4.8 Turbulent BL GWSh + θTS, Accuracy, Convergence; 4.9 GWSh + θTS BL Algorithm, TKE Closure Models; 4.10 The Parabolic Navier-Stokes PDE System; 4.11 GWSh + θTS Algorithm for PNS PDE System; 4.12 GWSh + θTS k =1 NC Basis PNS Algorithm; 4.13 Weak Interaction PNS Algorithm Validation; 4.14 Square Duct PNS Algorithm Validation; 4.15 Summary; Exercises References 5 The Navier-Stokes Equations: theoretical fundamentals; constraint, spectral analyses, mPDE theory, optimal Galerkin weak forms; 5.1 The Incompressible Navier-Stokes PDE System; 5.2 Continuity Constraint, Exact Enforcement; 5.3 Continuity Constraint, Inexact Enforcement; 5.4 The CCM Pressure Projection Algorithm; 5.5 Convective Transport, Phase Velocity; 5.6 Convection-Diffusion, Phase Speed Characterization; 5.7 Theory for Optimal mGWSh + θTS Phase Accuracy; 5.8 Optimally Phase Accurate mGWSh + θTS in n Dimensions; 5.9 Theory for Optimal mGWSh Asymptotic Convergence 5.10 The Optimal mGWSh + θTS k = 1 Basis NS Algorithm |
| Record Nr. | UNINA-9910807349903321 |
|
Baker A. J. <1936->
|
||
| Chichester, England : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||