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Computational Techniques for Fluid Dynamics 1 [[electronic resource] ] : Fundamental and General Techniques / / by Clive A.J. Fletcher
| Computational Techniques for Fluid Dynamics 1 [[electronic resource] ] : Fundamental and General Techniques / / by Clive A.J. Fletcher |
| Autore | Fletcher Clive A.J |
| Edizione | [2nd ed. 1998.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 |
| Descrizione fisica | 1 online resource (XIII, 401 p. 2 illus.) |
| Disciplina | 532.050151 |
| Collana | Scientific Computation |
| Soggetto topico |
Continuum 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 |
| ISBN | 3-642-58229-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910480764403321 |
Fletcher Clive A.J
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational Techniques for Fluid Dynamics 1 [[electronic resource] ] : Fundamental and General Techniques / / by Clive A.J. Fletcher
| Computational Techniques for Fluid Dynamics 1 [[electronic resource] ] : Fundamental and General Techniques / / by Clive A.J. Fletcher |
| Autore | Fletcher Clive A.J |
| Edizione | [2nd ed. 1998.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 |
| Descrizione fisica | 1 online resource (XIII, 401 p. 2 illus.) |
| Disciplina | 532.050151 |
| Altri autori (Persone) | SrinivasK <1946-> (Karkenahalli) |
| Collana | Scientific Computation |
| Soggetto topico |
Continuum 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 |
| ISBN | 3-642-58229-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910789209903321 |
|
Fletcher Clive A.J
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational Techniques for Fluid Dynamics 1 [[electronic resource] ] : Fundamental and General Techniques / / by Clive A.J. Fletcher
| Computational Techniques for Fluid Dynamics 1 [[electronic resource] ] : Fundamental and General Techniques / / by Clive A.J. Fletcher |
| Autore | Fletcher Clive A.J |
| Edizione | [2nd ed. 1998.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 |
| Descrizione fisica | 1 online resource (XIII, 401 p. 2 illus.) |
| Disciplina | 532.050151 |
| Altri autori (Persone) | SrinivasK <1946-> (Karkenahalli) |
| Collana | Scientific Computation |
| Soggetto topico |
Continuum 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 |
| ISBN | 3-642-58229-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910813428303321 |
|
Fletcher Clive A.J
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||