LEADER 06336nam 2200709 450 001 9910807349903321 005 20200520144314.0 010 $a1-118-40271-5 010 $a1-118-40307-X 010 $a1-118-40308-8 035 $a(CKB)3710000000093449 035 $a(EBL)1651146 035 $a(SSID)ssj0001132690 035 $a(PQKBManifestationID)11702118 035 $a(PQKBTitleCode)TC0001132690 035 $a(PQKBWorkID)11154925 035 $a(PQKB)11131784 035 $a(OCoLC)870530870 035 $a(MiAaPQ)EBC1651146 035 $a(DLC) 2014006263 035 $a(Au-PeEL)EBL1651146 035 $a(CaPaEBR)ebr10849239 035 $a(CaONFJC)MIL584507 035 $a(OCoLC)874321665 035 $a(EXLCZ)993710000000093449 100 $a20140326h20142014 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOptimal modified continuous Galerkin CFD /$fA. J. Baker 210 1$aChichester, England :$cWiley,$d2014. 210 4$dİ2014 215 $a1 online resource (576 p.) 300 $aDescription based upon print version of record. 311 $a1-119-94049-4 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aOptimal 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 327 $a2.7 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 327 $a3.5 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 327 $a4.3 GWSh, n= 2 Laminar-Thermal Boundary Layer 4.4 GWSh + ?TS BL Matrix Iteration Algorithm; 4.5 Accuracy, Convergence, Optimal Mesh Solutions; 4.6 GWSh + ?TS Solution Optimality, Data Influence; 4.7 Time Averaged NS, Turbulent BL Formulation; 4.8 Turbulent BL GWSh + ?TS, Accuracy, Convergence; 4.9 GWSh + ?TS BL Algorithm, TKE Closure Models; 4.10 The Parabolic Navier-Stokes PDE System; 4.11 GWSh + ?TS Algorithm for PNS PDE System; 4.12 GWSh + ?TS k =1 NC Basis PNS Algorithm; 4.13 Weak Interaction PNS Algorithm Validation; 4.14 Square Duct PNS Algorithm Validation; 4.15 Summary; Exercises 327 $aReferences 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 + ?TS Phase Accuracy; 5.8 Optimally Phase Accurate mGWSh + ?TS in n Dimensions; 5.9 Theory for Optimal mGWSh Asymptotic Convergence 327 $a5.10 The Optimal mGWSh + ?TS k = 1 Basis NS Algorithm 330 $a"Covers the theory and applications of using weak form theory in incompressible fluid-thermal sciences Giving you a solid foundation on the Galerkin finite-element method (FEM), this book promotes the use of optimal modified continuous Galerkin weak form theory to generate discrete approximate solutions to incompressible-thermal Navier-Stokes equations. The book covers the topic comprehensively by introducing formulations, theory and implementation of FEM and various flow formulations.The author first introduces concepts, terminology and methodology related to the topic before covering topics including aerodynamics; the Navier-Stokes Equations; vector field theory implementations and large eddy simulation formulations. Introduces and addresses many different flow models (Navier-Stokes, full-potential, potential, compressible/incompressible) from a unified perspective Focuses on Galerkin methods for CFD beneficial for engineering graduate students and engineering professionals Accompanied by a website with sample applications of the algorithms and example problems and solutions This approach is useful for graduate students in various engineering fields and as well as professional engineers"--$cProvided by publisher. 330 $a"This book promotes the use of optimal modified continuous Galerkin weak form theory to generate discrete approximate solutions to incompressible-thermal Navier-Stokes equations"--$cProvided by publisher. 606 $aFluid mechanics 606 $aFinite element method 606 $aGalerkin methods 615 0$aFluid mechanics. 615 0$aFinite element method. 615 0$aGalerkin methods. 676 $a518/.63 686 $aTEC006000$2bisacsh 700 $aBaker$b A. J.$f1936-$01675115 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910807349903321 996 $aOptimal modified continuous Galerkin CFD$94090164 997 $aUNINA