06173nam 22008295 450 991081342830332120200701074755.03-642-58229-X10.1007/978-3-642-58229-5(CKB)3400000000104433(SSID)ssj0001241425(PQKBManifestationID)11775427(PQKBTitleCode)TC0001241425(PQKBWorkID)11212045(PQKB)10010548(DE-He213)978-3-642-58229-5(MiAaPQ)EBC3090678(PPN)237917262(EXLCZ)99340000000010443320121227d1998 u| 0engurnn|008mamaatxtccrComputational Techniques for Fluid Dynamics 1[electronic resource] Fundamental and General Techniques /by Clive A.J. Fletcher2nd ed. 1998.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1998.1 online resource (XIII, 401 p. 2 illus.) Scientific Computation,1434-8322Bibliographic Level Mode of Issuance: Monograph3-540-53058-4 Includes bibliographical references at the end of each chapters and index.1. 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.This 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.Scientific Computation,1434-8322Continuum physicsFluidsPhysicsComputer mathematicsApplied mathematicsEngineering mathematicsFluid mechanicsClassical and Continuum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P2100XFluid- and Aerodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21026Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Computational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Engineering Fluid Dynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15044Continuum physics.Fluids.Physics.Computer mathematics.Applied mathematics.Engineering mathematics.Fluid mechanics.Classical and Continuum Physics.Fluid- and Aerodynamics.Numerical and Computational Physics, Simulation.Computational Science and Engineering.Mathematical and Computational Engineering.Engineering Fluid Dynamics.532.050151Fletcher Clive A.Jauthttp://id.loc.gov/vocabulary/relators/aut7841Srinivas K(Karkenahalli),1946-1658461MiAaPQMiAaPQMiAaPQBOOK9910813428303321Computational Techniques for Fluid Dynamics 14012476UNINA