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Essential computational fluid dynamics [[electronic resource] /] / Oleg Zikanov
| Essential computational fluid dynamics [[electronic resource] /] / Oleg Zikanov |
| Autore | Zikanov Oleg |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2010 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 532/.0501515 |
| Soggetto topico | Fluid dynamics - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-17439-9
1-283-25818-8 9786613258182 1-118-17477-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Essential 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
2.10.2. 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 4.2.7. 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 5.1.1. 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 6.2.2. Matrix Method |
| Record Nr. | UNINA-9910464594103321 |
Zikanov Oleg
|
||
| Hoboken, N.J., : Wiley, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Essential computational fluid dynamics [[electronic resource] /] / Oleg Zikanov
| Essential computational fluid dynamics [[electronic resource] /] / Oleg Zikanov |
| Autore | Zikanov Oleg |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2010 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 532/.0501515 |
| Soggetto topico | Fluid dynamics - Mathematics |
| ISBN |
1-118-17439-9
1-283-25818-8 9786613258182 1-118-17477-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Essential 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
2.10.2. 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 4.2.7. 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 5.1.1. 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 6.2.2. Matrix Method |
| Record Nr. | UNINA-9910789064803321 |
|
Zikanov Oleg
|
||
| Hoboken, N.J., : Wiley, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||