LEADER 05364nam 2200649 a 450 001 9910789064803321 005 20230105233831.0 010 $a1-118-17439-9 010 $a1-283-25818-8 010 $a9786613258182 010 $a1-118-17477-1 035 $a(CKB)3400000000021199 035 $a(EBL)819001 035 $a(OCoLC)757395146 035 $a(SSID)ssj0000481487 035 $a(PQKBManifestationID)12184527 035 $a(PQKBTitleCode)TC0000481487 035 $a(PQKBWorkID)10470928 035 $a(PQKB)11722276 035 $a(MiAaPQ)EBC819001 035 $a(Au-PeEL)EBL819001 035 $a(CaPaEBR)ebr10494648 035 $a(CaONFJC)MIL325818 035 $a(MiAaPQ)EBC7147373 035 $a(Au-PeEL)EBL7147373 035 $a(PPN)158735005 035 $a(EXLCZ)993400000000021199 100 $a20091102d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEssential computational fluid dynamics$b[electronic resource] /$fOleg Zikanov 205 $a1st ed. 210 $aHoboken, N.J. $cWiley$dc2010 215 $a1 online resource (320 p.) 300 $aDescription based upon print version of record. 311 $a0-470-42329-3 320 $aIncludes bibliographical references and index. 327 $aEssential Computational Fluid Dynamics; Contents; Preface; 1 What Is CFD?; 1.1. Introduction; 1.2. Brief History of CFD; 1.3. Outline of the Book; References and Suggested Reading; I Fundamentals; 2 Governing Equations of Fluid Dynamics and Heat Transfer; 2.1. Preliminary Concepts; 2.2. Mass Conservation; 2.3. Conservation of Chemical Species; 2.4. Conservation of Momentum; 2.5. Conservation of Energy; 2.6. Equation of State; 2.7. Equations in Integral Form; 2.8. Equations in Conservation Form; 2.9. Equations in Vector Form; 2.10. Boundary Conditions; 2.10.1. Rigid Wall Boundary Conditions 327 $a2.10.2. Inlet and Exit Boundary Conditions2.10.3. Other Boundary Conditions; References and Suggested Reading; Problems; 3 Partial Differential Equations; 3.1. Model Equations; Formulation of a PDE Problem; 3.1.1. Model Equations; 3.1.2. Domain, Boundary, and Initial Conditions; 3.1.3. Equilibrium and Marching Problems; 3.1.4. Examples; 3.2. Mathematical Classification of PDE of Second Order; 3.2.1. Classification; 3.2.2. Hyperbolic Equations; 3.2.3. Parabolic Equations; 3.2.4. Elliptic Equations; 3.3. Numerical Discretization: Different Kinds of CFD; 3.3.1. Spectral Methods 327 $a4.2.7. Truncation Error of Linear Interpolation4.3. Approximation of Partial Differential Equations; 4.3.1. Approach and Examples; 4.3.2. Interpretation of Truncation Error: Numerical Dissipation and Dispersion; 4.3.3. Boundary and Initial Conditions; 4.3.4. Consistency of Numerical Approximation; 4.3.5. System of Difference Equations; 4.3.6. Implicit and Explicit Methods; 4.4. Development of Finite Difference Schemes; 4.4.1. Taylor Series Expansions; 4.4.2. Polynomial Fitting; References and Suggested Reading; Problems; 5 Finite Volume Method; 5.1. Introduction and Integral Formulation 327 $a5.1.1. Finite Volume Grid5.1.2. Global Conservation Property; 5.2. Approximation of Integrals; 5.2.1. Volume Integrals; 5.2.2. Surface Integrals; 5.3. Methods of Interpolation; 5.3.1. Upwind Interpolation; 5.3.2. Linear Interpolation; 5.3.3. Upwind Interpolation of Higher Order; 5.3.4. Interpolation on Nonorthogonal Grids; 5.4. Boundary Conditions; References and Suggested Reading; Problems; 6 Stability of Transient Solutions; 6.1. Introduction and Definition of Stability; 6.1.1. Discretization and Round-off Error; 6.1.2. Definition; 6.2. Stability Analysis; 6.2.1. Neumann Method 327 $a6.2.2. Matrix Method 330 1 $a"This book serves as a complete and self-contained introduction to the principles of Computational Fluid Dynamic (CFD) analysis. It is deliberately short (at approximately 300 pages) and can be used as a text for the first part of the course of applied CFD followed by a software tutorial. The main objectives of this non-traditional format are: 1) To introduce and explain, using simple examples where possible, the principles and methods of CFD analysis and to demystify the 'black box' of a CFD software tool, and 2) To provide a basic understanding of how CFD problems are set and which factors affect the success and failure of the analysis. Included in the text are the mathematical and physical foundations of CFD, formulation of CFD problems, basic principles of numerical approximation (grids, consistency, convergence, stability, and order of approximation, etc), methods of discretization with focus on finite difference and finite volume techniques, methods of solution of transient and steady state problems, commonly used numerical methods for heat transfer and fluid flows, plus a brief introduction into turbulence modeling. A solutions manual will be provided for instructor's use."--BOOK JACKET. 606 $aFluid dynamics$xMathematics 615 0$aFluid dynamics$xMathematics. 676 $a532/.0501515 700 $aZikanov$b Oleg$01558156 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910789064803321 996 $aEssential computational fluid dynamics$93822288 997 $aUNINA