{"product_id":"optimal-modified-continuous-galerkin-cfd-hardback-9781119940494","title":"Optimal Modified Continuous Galerkin CFD (Hardback) 9781119940494","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eOptimal Modified Continuous Galerkin CFD\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eA. J. Baker (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781119940494, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 25 April 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e576 pages\u003cbr\u003e25.2 x 17.5 x 3.2 cm, 1.03 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cb\u003e\u003ci\u003eCovers the theory and applications of using weak form theory in incompressible fluid-thermal sciences \u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eGiving 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.\u003c\/p\u003e \u003cp\u003eThe 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.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eIntroduces and addresses many different flow models (Navier-Stokes, full-potential, potential, compressible\/incompressible) from a unified perspective\u003c\/li\u003e \u003cli\u003eFocuses on Galerkin methods for CFD beneficial for engineering graduate students and engineering professionals\u003c\/li\u003e \u003cli\u003eAccompanied by a website with sample applications of the algorithms and example problems and solutions\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThis approach is useful for graduate students in various engineering fields and as well as professional engineers.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface xiii  \u003cp\u003eAbout the Author xvii\u003c\/p\u003e \u003cp\u003eNotations xix\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 About This Book 1\u003c\/p\u003e \u003cp\u003e1.2 The Navier–Stokes Conservation Principles System 2\u003c\/p\u003e \u003cp\u003e1.3 Navier–Stokes PDE System Manipulations 5\u003c\/p\u003e \u003cp\u003e1.4 Weak Form Overview 7\u003c\/p\u003e \u003cp\u003e1.5 A Brief History of Finite Element CFD 9\u003c\/p\u003e \u003cp\u003e1.6 A Brief Summary 11\u003c\/p\u003e \u003cp\u003eReferences 12\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Concepts, terminology, methodology 15\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 15\u003c\/p\u003e \u003cp\u003e2.2 Steady DE Weak Form Completion 16\u003c\/p\u003e \u003cp\u003e2.3 Steady DE GWSN Discrete FE Implementation 19\u003c\/p\u003e \u003cp\u003e2.4 PDE Solutions, Classical Concepts 27\u003c\/p\u003e \u003cp\u003e2.5 The Sturm–Liouville Equation, Orthogonality, Completeness 30\u003c\/p\u003e \u003cp\u003e2.6 Classical Variational Calculus 33\u003c\/p\u003e \u003cp\u003e2.7 Variational Calculus, Weak Form Duality 36\u003c\/p\u003e \u003cp\u003e2.8 Quadratic Forms, Norms, Error Estimation 38\u003c\/p\u003e \u003cp\u003e2.9 Theory Illustrations for Non-Smooth, Nonlinear Data 40\u003c\/p\u003e \u003cp\u003e2.10 Matrix Algebra, Notation 44\u003c\/p\u003e \u003cp\u003e2.11 Equation Solving, Linear Algebra 46\u003c\/p\u003e \u003cp\u003e2.12 Krylov Sparse Matrix Solver Methodology 53\u003c\/p\u003e \u003cp\u003e2.13 Summary 54\u003c\/p\u003e \u003cp\u003eExercises 54\u003c\/p\u003e \u003cp\u003eReferences 56\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Aerodynamics I: Potential flow, GWSh theory exposition, transonic flow mPDE shock capturing 59\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Aerodynamics, Weak Interaction 59\u003c\/p\u003e \u003cp\u003e3.2 Navier–Stokes Manipulations for Aerodynamics 60\u003c\/p\u003e \u003cp\u003e3.3 Steady Potential Flow GWS 62\u003c\/p\u003e \u003cp\u003e3.4 Accuracy, Convergence, Mathematical Preliminaries 66\u003c\/p\u003e \u003cp\u003e3.5 Accuracy, Galerkin Weak Form Optimality 68\u003c\/p\u003e \u003cp\u003e3.6 Accuracy, GWSh Error Bound 71\u003c\/p\u003e \u003cp\u003e3.7 Accuracy, GWSh Asymptotic Convergence 73\u003c\/p\u003e \u003cp\u003e3.8 GWSh Natural Coordinate FE Basis Matrices 76\u003c\/p\u003e \u003cp\u003e3.9 GWSh Tensor Product FE Basis Matrices 82\u003c\/p\u003e \u003cp\u003e3.10 GWSh Comparison with Laplacian FD and FV Stencils 87\u003c\/p\u003e \u003cp\u003e3.11 Post-Processing Pressure Distributions 90\u003c\/p\u003e \u003cp\u003e3.12 Transonic Potential Flow, Shock Capturing 92\u003c\/p\u003e \u003cp\u003e3.13 Summary 96\u003c\/p\u003e \u003cp\u003eExercises 98\u003c\/p\u003e \u003cp\u003eReferences 99\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Aerodynamics II: boundary layers, turbulence closure modeling, parabolic Navier–Stokes 101\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Aerodynamics, Weak Interaction Reprise 101\u003c\/p\u003e \u003cp\u003e4.2 Navier–Stokes PDE System Reynolds Ordered 102\u003c\/p\u003e \u003cp\u003e4.3 GWSh, n= 2 Laminar-Thermal Boundary Layer 104\u003c\/p\u003e \u003cp\u003e4.4 GWSh + θTS BL Matrix Iteration Algorithm 108\u003c\/p\u003e \u003cp\u003e4.5 Accuracy, Convergence, Optimal Mesh Solutions 111\u003c\/p\u003e \u003cp\u003e4.6 GWSh +θTS Solution Optimality, Data Influence 115\u003c\/p\u003e \u003cp\u003e4.7 Time Averaged NS, Turbulent BL Formulation 116\u003c\/p\u003e \u003cp\u003e4.8 Turbulent BL GWSh+ θTS, Accuracy, Convergence 120\u003c\/p\u003e \u003cp\u003e4.9 GWSh+ θTS BL Algorithm, TKE Closure Models 123\u003c\/p\u003e \u003cp\u003e4.10 The Parabolic Navier–Stokes PDE System 129\u003c\/p\u003e \u003cp\u003e4.11 GWSh +θTS Algorithm for PNS PDE System 134\u003c\/p\u003e \u003cp\u003e4.12 GWSh +θTS k=1 NC Basis PNS Algorithm 137\u003c\/p\u003e \u003cp\u003e4.13 Weak Interaction PNS Algorithm Validation 141\u003c\/p\u003e \u003cp\u003e4.14 Square Duct PNS Algorithm Validation 147\u003c\/p\u003e \u003cp\u003e4.15 Summary 148\u003c\/p\u003e \u003cp\u003eExercises 155\u003c\/p\u003e \u003cp\u003eReferences 157\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 The Navier–Stokes Equations: theoretical fundamentals; constraint, spectral analyses, mPDE theory, optimal Galerkin weak forms 159\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 The Incompressible Navier–Stokes PDE System 159\u003c\/p\u003e \u003cp\u003e5.2 Continuity Constraint, Exact Enforcement 160\u003c\/p\u003e \u003cp\u003e5.3 Continuity Constraint, Inexact Enforcement 164\u003c\/p\u003e \u003cp\u003e5.4 The CCM Pressure Projection Algorithm 166\u003c\/p\u003e \u003cp\u003e5.5 Convective Transport, Phase Velocity 168\u003c\/p\u003e \u003cp\u003e5.6 Convection-Diffusion, Phase Speed Characterization 170\u003c\/p\u003e \u003cp\u003e5.7 Theory for Optimal mGWSh+ θTS Phase Accuracy 177\u003c\/p\u003e \u003cp\u003e5.8 Optimally Phase Accurate mGWSh + θTS in n Dimensions 185\u003c\/p\u003e \u003cp\u003e5.9 Theory for Optimal mGWSh Asymptotic Convergence 193\u003c\/p\u003e \u003cp\u003e5.10 The Optimal mGWSh ‡ θTS k ˆ 1 Basis NS Algorithm 201\u003c\/p\u003e \u003cp\u003e5.11 Summary 203\u003c\/p\u003e \u003cp\u003eExercises 206\u003c\/p\u003e \u003cp\u003eReferences 208\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Vector Field Theory Implementations: vorticity-streamfunction, vorticity-velocity formulations 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Vector Field Theory NS PDE Manipulations 211\u003c\/p\u003e \u003cp\u003e6.2 Vorticity-Streamfunction PDE System, n= 2 213\u003c\/p\u003e \u003cp\u003e6.3 Vorticity-Streamfunction mGWSh Algorithm 214\u003c\/p\u003e \u003cp\u003e6.4 Weak Form Theory Verification, GWSh\/mGWSh 219\u003c\/p\u003e \u003cp\u003e6.5 Vorticity-Velocity mGWSh Algorithm, n= 3 228\u003c\/p\u003e \u003cp\u003e6.6 Vorticity-Velocity GWSh+ θTS Assessments, n= 3 233\u003c\/p\u003e \u003cp\u003e6.7 Summary 243\u003c\/p\u003e \u003cp\u003eExercises 246\u003c\/p\u003e \u003cp\u003eReferences 247\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Classic State Variable Formulations: GWS\/mGWSh+θTS algorithms for Navier–Stokes; accuracy, convergence, validation, BCs, radiation, ALE formulation 249\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Classic State Variable Navier–Stokes PDE System 249\u003c\/p\u003e \u003cp\u003e7.2 NS Classic State Variable mPDE System 251\u003c\/p\u003e \u003cp\u003e7.3 NS Classic State Variable mGWSh+ θTS Algorithm 252\u003c\/p\u003e \u003cp\u003e7.4 NS mGWSh +θTS Algorithm Discrete Formation 254\u003c\/p\u003e \u003cp\u003e7.5 mGWSh+ θTS Algorithm Completion 258\u003c\/p\u003e \u003cp\u003e7.6 mGWSh+ θTS Algorithm Benchmarks, n=2 260\u003c\/p\u003e \u003cp\u003e7.7 mGWSh+ θTS Algorithm Validations, n= 3 268\u003c\/p\u003e \u003cp\u003e7.8 Flow Bifurcation, Multiple Outflow Pressure BCs 282\u003c\/p\u003e \u003cp\u003e7.9 Convection\/Radiation BCs in GWSh+ θTS 283\u003c\/p\u003e \u003cp\u003e7.10 Convection BCs Validation 288\u003c\/p\u003e \u003cp\u003e7.11 Radiosity, GWSh Algorithm 295\u003c\/p\u003e \u003cp\u003e7.12 Radiosity BC, Accuracy, Convergence, Validation 298\u003c\/p\u003e \u003cp\u003e7.13 ALE Thermo-Solid-Fluid-Mass Transport Algorithm 302\u003c\/p\u003e \u003cp\u003e7.14 ALE GWSh +θTS Algorithm LISI Validation 304\u003c\/p\u003e \u003cp\u003e7.15 Summary 310\u003c\/p\u003e \u003cp\u003eExercises 317\u003c\/p\u003e \u003cp\u003eReferences 318\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Time Averaged Navier–Stokes: mGWSh+θTS algorithm for RaNS, Reynolds stress tensor closure models 319\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Classic State Variable RaNS PDE System 319\u003c\/p\u003e \u003cp\u003e8.2 RaNS PDE System Turbulence Closure 321\u003c\/p\u003e \u003cp\u003e8.3 RaNS State Variable mPDE System 323\u003c\/p\u003e \u003cp\u003e8.4 RaNS mGWSh+θTS Algorithm Matrix Statement 325\u003c\/p\u003e \u003cp\u003e8.5 RaNS mGWSh + θTS Algorithm, Stability, Accuracy 331\u003c\/p\u003e \u003cp\u003e8.6 RaNS Algorithm BCs for Conjugate Heat Transfer 337\u003c\/p\u003e \u003cp\u003e8.7 RaNS Full Reynolds Stress Closure PDE System 341\u003c\/p\u003e \u003cp\u003e8.8 RSM Closure mGWSh +θTS Algorithm 345\u003c\/p\u003e \u003cp\u003e8.9 RSM Closure Model Validation 347\u003c\/p\u003e \u003cp\u003e8.10 Geologic Borehole Conjugate Heat Transfer 348\u003c\/p\u003e \u003cp\u003e8.11 Summary 358\u003c\/p\u003e \u003cp\u003eExercises 363\u003c\/p\u003e \u003cp\u003eReferences 364\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Space Filtered Navier–Stokes: GWSh\/mGWSh+θTS for space filtered Navier–Stokes, modeled, analytical closure 365\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Classic State Variable LES PDE System 365\u003c\/p\u003e \u003cp\u003e9.2 Space Filtered NS PDE System 366\u003c\/p\u003e \u003cp\u003e9.3 SGS Tensor Closure Modeling for LES 368\u003c\/p\u003e \u003cp\u003e9.4 Rational LES Theory Predictions 371\u003c\/p\u003e \u003cp\u003e9.5 RLES Unresolved Scale SFS Tensor Models 376\u003c\/p\u003e \u003cp\u003e9.6 Analytical SFS Tensor\/Vector Closures 381\u003c\/p\u003e \u003cp\u003e9.7 Auxiliary Problem Resolution Via Perturbation Theory 383\u003c\/p\u003e \u003cp\u003e9.8 LES Analytical Closure (arLES) Theory 386\u003c\/p\u003e \u003cp\u003e9.9 arLES Theory mGWSh + θTS Algorithm 387\u003c\/p\u003e \u003cp\u003e9.10 arLES Theory mGWSh + θTS Completion 391\u003c\/p\u003e \u003cp\u003e9.11 arLES Theory Implementation Diagnostics 392\u003c\/p\u003e \u003cp\u003e9.12 RLES Theory Turbulent BL Validation 403\u003c\/p\u003e \u003cp\u003e9.13 Space Filtered NS PDE System on Bounded Domains 409\u003c\/p\u003e \u003cp\u003e9.14 Space Filtered NS Bounded Domain BCs 410\u003c\/p\u003e \u003cp\u003e9.15 ADBC Algorithm Validation, Space Filtered DE 412\u003c\/p\u003e \u003cp\u003e9.16 arLES Theory Resolved Scale BCE Integrals 420\u003c\/p\u003e \u003cp\u003e9.17 Turbulent Resolved Scale Velocity BC Optimal Ωh-δ 423\u003c\/p\u003e \u003cp\u003e9.18 Resolved Scale Velocity DBC Validation 8 Re 430\u003c\/p\u003e \u003cp\u003e9.19 arLES O(δ2) State Variable Bounded Domain BCs 430\u003c\/p\u003e \u003cp\u003e9.20 Well-Posed arLES Theory n = 3 Validation 433\u003c\/p\u003e \u003cp\u003e9.21 Well-Posed arLES Theory n = 3 Diagnostics 441\u003c\/p\u003e \u003cp\u003e9.22 Summary 446\u003c\/p\u003e \u003cp\u003eExercises 455\u003c\/p\u003e \u003cp\u003eReferences 456\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Summary-VVUQ: verification, validation, uncertainty quantification 459\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Beyond Colorful Fluid Dynamics 459\u003c\/p\u003e \u003cp\u003e10.2 Observations on Computational Reliability 460\u003c\/p\u003e \u003cp\u003e10.3 Solving the Equations Right 461\u003c\/p\u003e \u003cp\u003e10.4 Solving the Right Equations 464\u003c\/p\u003e \u003cp\u003e10.5 Solving the Right Equations Without Modeling 466\u003c\/p\u003e \u003cp\u003e10.6 Solving the Right Equations Well-Posed 468\u003c\/p\u003e \u003cp\u003e10.7 Well-Posed Right Equations Optimal CFD 471\u003c\/p\u003e \u003cp\u003e10.8 The Right Closing Caveat 473\u003c\/p\u003e \u003cp\u003eReferences 474\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A: Well-Posed arLES Theory PICMSS Template 475\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B: Hypersonic Parabolic Navier–Stokes 483\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 High Speed External Aerodynamics 483\u003c\/p\u003e \u003cp\u003eB.2 Compressible Navier–Stokes PDE System 484\u003c\/p\u003e \u003cp\u003eB.3 Parabolic Compressible RaNS PDE System 488\u003c\/p\u003e \u003cp\u003eB.4 Compressible PRaNS mPDE System Closure 490\u003c\/p\u003e \u003cp\u003eB.5 Bow Shock Fitting, PRaNS State Variable IC 493\u003c\/p\u003e \u003cp\u003eB.6 The PRaNS mGWSh+θTS Algorithm 496\u003c\/p\u003e \u003cp\u003eB.7 PRaNS mGWSh+θTS Algorithm Completion 501\u003c\/p\u003e \u003cp\u003eB.8 PRaNS Algorithm IC Generation 505\u003c\/p\u003e \u003cp\u003eB.9 PRaNS mGWSh+θTS Algorithm Validation 507\u003c\/p\u003e \u003cp\u003eB.10 Hypersonic Blunt Body Shock Trajectory 515\u003c\/p\u003e \u003cp\u003eB.11 Shock Trajectory Characteristics Algorithm 521\u003c\/p\u003e \u003cp\u003eB.12 Blunt Body PRaNS Algorithm Validation 523\u003c\/p\u003e \u003cp\u003eB.13 Summary 527\u003c\/p\u003e \u003cp\u003eExercises 532\u003c\/p\u003e \u003cp\u003eReferences 533\u003c\/p\u003e \u003cp\u003eAuthor Index 535\u003c\/p\u003e \u003cp\u003eSubject Index 541\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca title=\"See our other books on Mechanical engineering \u0026amp; materials\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanical%20engineering%20\u0026amp;%20materials%20%5BTG%5D%22\"\u003eTG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52431013642520,"sku":"9781119940494","price":98.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781119940494.jpg?v=1784768573","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/optimal-modified-continuous-galerkin-cfd-hardback-9781119940494","provider":"Freshly Printed Books","version":"1.0","type":"link"}