LEADER 05782nam 22008295 450 001 9910962854903321 005 20250731074905.0 010 $a3-642-58229-X 024 7 $a10.1007/978-3-642-58229-5 035 $a(CKB)3400000000104433 035 $a(SSID)ssj0001241425 035 $a(PQKBManifestationID)11775427 035 $a(PQKBTitleCode)TC0001241425 035 $a(PQKBWorkID)11212045 035 $a(PQKB)10010548 035 $a(DE-He213)978-3-642-58229-5 035 $a(MiAaPQ)EBC3090678 035 $a(PPN)237917262 035 $a(EXLCZ)993400000000104433 100 $a20121227d1998 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aComputational Techniques for Fluid Dynamics 1 $eFundamental and General Techniques /$fby Clive A.J. Fletcher 205 $a2nd ed. 1998. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1998. 215 $a1 online resource (XIII, 401 p. 2 illus.) 225 1 $aScientific Computation,$x2198-2589 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-53058-4 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $a1. Computational Fluid Dynamics: An Introduction -- 1.1 Advantages of Computational Fluid Dynamics -- 1.2 Typical Practical Problems -- 1.3 Equation Structure -- 1.4 Overview of Computational Fluid Dynamics -- 1.5 Further Reading -- 2. Partial Differential Equations -- 2.1 Background -- 2.2 Hyperbolic Partial Differential Equations -- 2.3 Parabolic Partial Differential Equations -- 2.4 Elliptic Partial Differential Equations -- 2.5 Traditional Solution Methods -- 2.6 Closure -- 2.7 Problems -- 3. Preliminary Computational Techniques -- 3.1 Discretisation -- 3.2 Approximation to Derivatives -- 3.3 Accuracy of the Discretisation Process -- 3.4 Wave Representation -- 3.5 Finite Difference Method -- 3.6 Closure -- 3.7 Problems -- 4. Theoretical Background -- 4.1 Convergence -- 4.2 Consistency -- 4.3 Stability -- 4.4 Solution Accuracy -- 4.5 Computational Efficiency -- 4.6 Closure -- 4.7 Problems -- 5. Weighted Residual Methods -- 5.1 General Formulation -- 5.2 Finite Volume Method -- 5.3 Finite Element Method and Interpolation -- 5.4 Finite Element Method and the Sturm-Liouville Equation -- 5.5 Further Applications of the Finite Element Method -- 5.6 Spectral Method -- 5.7 Closure -- 5.8 Problems -- 6. Steady Problems -- 6.1 Nonlinear Steady Problems -- 6.2 Direct Methods for Linear Systems -- 6.3 Iterative Methods -- 6.4 Pseudotransient Method -- 6.5 Strategies for Steady Problems -- 6.6 Closure -- 6.7 Problems -- 7. One-Dimensional Diffusion Equation -- 7.1 Explicit Methods -- 7.2 Implicit Methods -- 7.3 Boundary and Initial Conditions -- 7.4 Method of Lines -- 7.5 Closure -- 7.6 Problems -- 8. Multidimensional Diffusion Equation -- 8.1 Two-Dimensional Diffusion Equation -- 8.2 Multidimensional Splitting Methods -- 8.3 Splitting Schemes and the Finite Element Method -- 8.4 Neumann Boundary Conditions -- 8.5 Method of Fractional Steps -- 8.6 Closure -- 8.7 Problems -- 9. Linear Convection-Dominated Problems -- 9.1 One-Dimensional Linear Convection Equation -- 9.2 Numerical Dissipation and Dispersion -- 9.3 Steady Convection-Diffusion Equation -- 9.4 One-Dimensional Transport Equation -- 9.5 Two-Dimensional Transport Equation -- 9.6 Closure -- 9.7 Problems -- 10. Nonlinear Convection-Dominated Problems -- 10.1 One-Dimensional Burgers? Equation -- 10.2 Systems of Equations -- 10.3 Group Finite Element Method -- 10.4 Two-Dimensional Burgers? Equation -- 10.5 Closure -- 10.6 Problems -- Appendix A.1 Empirical Determination of the Execution Time of Basic Operations -- A.2 Mass and Difference Operators -- References. 330 $aThis well-known 2-volume textbook provides senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques in the various branches of computational fluid dynamics. A solutions manual to the exercises is in preparation. 410 0$aScientific Computation,$x2198-2589 606 $aPhysics 606 $aContinuum mechanics 606 $aMathematical physics 606 $aMathematics$xData processing 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aFluid mechanics 606 $aClassical and Continuum Physics 606 $aContinuum Mechanics 606 $aTheoretical, Mathematical and Computational Physics 606 $aComputational Science and Engineering 606 $aMathematical and Computational Engineering Applications 606 $aEngineering Fluid Dynamics 615 0$aPhysics. 615 0$aContinuum mechanics. 615 0$aMathematical physics. 615 0$aMathematics$xData processing. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aFluid mechanics. 615 14$aClassical and Continuum Physics. 615 24$aContinuum Mechanics. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aComputational Science and Engineering. 615 24$aMathematical and Computational Engineering Applications. 615 24$aEngineering Fluid Dynamics. 676 $a532.050151 700 $aFletcher$b Clive A.J$4aut$4http://id.loc.gov/vocabulary/relators/aut$07841 701 $aSrinivas$b K$g(Karkenahalli),$f1946-$01835336 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910962854903321 996 $aComputational Techniques for Fluid Dynamics 1$94411883 997 $aUNINA