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Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar
| Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar |
| Autore | Ansorge R (Rainer), <1931-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (245 p.) |
| Disciplina | 532.5015118 |
| Altri autori (Persone) | SonarTh (Thomas) |
| Soggetto topico |
Fluid dynamics - Mathematical models
Fluid mechanics |
| ISBN |
1-282-68766-2
9786612687662 3-527-62796-0 3-527-62797-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Mathematical Models of Fluid Dynamics; Contents; Preface to the Second Edition; Preface to the First Edition; 1 Ideal Fluids; 1.1 Modeling by Euler's Equations; 1.2 Characteristics and Singularities; 1.3 Potential Flows and (Dynamic) Buoyancy; 1.4 Motionless Fluids and Sound Propagation; 2 Weak Solutions of Conservation Laws; 2.1 Generalization of What Will Be Called a Solution; 2.2 Traffic Flow Example with Loss of Uniqueness; 2.3 The Rankine-Hugoniot Condition; 3 Entropy Conditions; 3.1 Entropy in the Case of an Ideal Fluid; 3.2 Generalization of the Entropy Condition
3.3 Uniqueness of Entropy Solutions3.4 Kruzkov's Ansatz; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem for Linear Systems; 4.3 The Aw-Rascle Traffic Flow Model; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory and Flow Separation; 5.5 Stability of Laminar Flows; 5.6 Heated Real Gas Flows; 5.7 Tunnel Fires; 6 Proving the Existence of Entropy Solutions by Discretization Procedures 6.1 Some Historical Remarks6.2 Reduction to Properties of Operator Sequences; 6.3 Convergence Theorems; 6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; 7.9 Continuous Convergence of Relations; 8 A Closer Look at Discrete Models; 8.1 The Viscosity Form; 8.2 The Incremental Form; 8.3 Relations 8.4 Godunov Is Just Good Enough8.5 The Lax-Friedrichs Scheme; 8.6 A Glimpse of Gas Dynamics; 8.7 Elementary Waves; 8.8 The Complete Solution to the Riemann Problem; 8.9 The Godunov Scheme in Gas Dynamics; 9 Discrete Models on Curvilinear Grids; 9.1 Mappings; 9.2 Transformation Relations; 9.3 Metric Tensors; 9.4 Transforming Conservation Laws; 9.5 Good Practice; 9.6 Remarks Concerning Adaptation; 10 Finite Volume Models; 10.1 Difference Methods on Unstructured Grids; 10.2 Order of Accuracy and Basic Discretization; 10.3 Higher-Order Finite Volume Schemes; 10.4 Polynomial Recovery 10.5 Remarks Concerning Non-polynomial Recovery10.6 Remarks Concerning Grid Generation; Index; Suggested Reading |
| Record Nr. | UNINA-9910139752503321 |
Ansorge R (Rainer), <1931->
|
||
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar
| Mathematical models of fluid dynamics [[electronic resource] ] : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar |
| Autore | Ansorge R (Rainer), <1931-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (245 p.) |
| Disciplina | 532.5015118 |
| Altri autori (Persone) | SonarTh (Thomas) |
| Soggetto topico |
Fluid dynamics - Mathematical models
Fluid mechanics |
| ISBN |
1-282-68766-2
9786612687662 3-527-62796-0 3-527-62797-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Mathematical Models of Fluid Dynamics; Contents; Preface to the Second Edition; Preface to the First Edition; 1 Ideal Fluids; 1.1 Modeling by Euler's Equations; 1.2 Characteristics and Singularities; 1.3 Potential Flows and (Dynamic) Buoyancy; 1.4 Motionless Fluids and Sound Propagation; 2 Weak Solutions of Conservation Laws; 2.1 Generalization of What Will Be Called a Solution; 2.2 Traffic Flow Example with Loss of Uniqueness; 2.3 The Rankine-Hugoniot Condition; 3 Entropy Conditions; 3.1 Entropy in the Case of an Ideal Fluid; 3.2 Generalization of the Entropy Condition
3.3 Uniqueness of Entropy Solutions3.4 Kruzkov's Ansatz; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem for Linear Systems; 4.3 The Aw-Rascle Traffic Flow Model; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory and Flow Separation; 5.5 Stability of Laminar Flows; 5.6 Heated Real Gas Flows; 5.7 Tunnel Fires; 6 Proving the Existence of Entropy Solutions by Discretization Procedures 6.1 Some Historical Remarks6.2 Reduction to Properties of Operator Sequences; 6.3 Convergence Theorems; 6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; 7.9 Continuous Convergence of Relations; 8 A Closer Look at Discrete Models; 8.1 The Viscosity Form; 8.2 The Incremental Form; 8.3 Relations 8.4 Godunov Is Just Good Enough8.5 The Lax-Friedrichs Scheme; 8.6 A Glimpse of Gas Dynamics; 8.7 Elementary Waves; 8.8 The Complete Solution to the Riemann Problem; 8.9 The Godunov Scheme in Gas Dynamics; 9 Discrete Models on Curvilinear Grids; 9.1 Mappings; 9.2 Transformation Relations; 9.3 Metric Tensors; 9.4 Transforming Conservation Laws; 9.5 Good Practice; 9.6 Remarks Concerning Adaptation; 10 Finite Volume Models; 10.1 Difference Methods on Unstructured Grids; 10.2 Order of Accuracy and Basic Discretization; 10.3 Higher-Order Finite Volume Schemes; 10.4 Polynomial Recovery 10.5 Remarks Concerning Non-polynomial Recovery10.6 Remarks Concerning Grid Generation; Index; Suggested Reading |
| Record Nr. | UNINA-9910830199903321 |
|
Ansorge R (Rainer), <1931->
|
||
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical models of fluid dynamics : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar
| Mathematical models of fluid dynamics : modeling, theory, basic numerical facts : an introduction / / Rainer Ansorge and Thomas Sonar |
| Autore | Ansorge R (Rainer), <1931-> |
| Edizione | [2nd, updated ed.] |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (245 p.) |
| Disciplina | 532.5015118 |
| Altri autori (Persone) | SonarTh (Thomas) |
| Soggetto topico |
Fluid dynamics - Mathematical models
Fluid mechanics |
| ISBN |
1-282-68766-2
9786612687662 3-527-62796-0 3-527-62797-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Mathematical Models of Fluid Dynamics; Contents; Preface to the Second Edition; Preface to the First Edition; 1 Ideal Fluids; 1.1 Modeling by Euler's Equations; 1.2 Characteristics and Singularities; 1.3 Potential Flows and (Dynamic) Buoyancy; 1.4 Motionless Fluids and Sound Propagation; 2 Weak Solutions of Conservation Laws; 2.1 Generalization of What Will Be Called a Solution; 2.2 Traffic Flow Example with Loss of Uniqueness; 2.3 The Rankine-Hugoniot Condition; 3 Entropy Conditions; 3.1 Entropy in the Case of an Ideal Fluid; 3.2 Generalization of the Entropy Condition
3.3 Uniqueness of Entropy Solutions3.4 Kruzkov's Ansatz; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem for Linear Systems; 4.3 The Aw-Rascle Traffic Flow Model; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory and Flow Separation; 5.5 Stability of Laminar Flows; 5.6 Heated Real Gas Flows; 5.7 Tunnel Fires; 6 Proving the Existence of Entropy Solutions by Discretization Procedures 6.1 Some Historical Remarks6.2 Reduction to Properties of Operator Sequences; 6.3 Convergence Theorems; 6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; 7.9 Continuous Convergence of Relations; 8 A Closer Look at Discrete Models; 8.1 The Viscosity Form; 8.2 The Incremental Form; 8.3 Relations 8.4 Godunov Is Just Good Enough8.5 The Lax-Friedrichs Scheme; 8.6 A Glimpse of Gas Dynamics; 8.7 Elementary Waves; 8.8 The Complete Solution to the Riemann Problem; 8.9 The Godunov Scheme in Gas Dynamics; 9 Discrete Models on Curvilinear Grids; 9.1 Mappings; 9.2 Transformation Relations; 9.3 Metric Tensors; 9.4 Transforming Conservation Laws; 9.5 Good Practice; 9.6 Remarks Concerning Adaptation; 10 Finite Volume Models; 10.1 Difference Methods on Unstructured Grids; 10.2 Order of Accuracy and Basic Discretization; 10.3 Higher-Order Finite Volume Schemes; 10.4 Polynomial Recovery 10.5 Remarks Concerning Non-polynomial Recovery10.6 Remarks Concerning Grid Generation; Index; Suggested Reading |
| Record Nr. | UNINA-9910876777903321 |
|
Ansorge R (Rainer), <1931->
|
||
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical models of fluiddynamics [[electronic resource] ] : modelling, theory, basic numerical facts : an introduction / / Rainer Ansorge
| Mathematical models of fluiddynamics [[electronic resource] ] : modelling, theory, basic numerical facts : an introduction / / Rainer Ansorge |
| Autore | Ansorge R (Rainer), <1931-> |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2003 |
| Descrizione fisica | 1 online resource (189 p.) |
| Disciplina |
532.05
532.05015118 532.5015118 532/.05/015118 |
| Soggetto topico | Fluid dynamics - Mathematical models |
| ISBN |
1-280-52103-1
9786610521036 3-527-60639-4 3-527-60277-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
3.3 Uniqueness of Entropy Solutions3.4 The Ansatz due to Kruzkov; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem in the Case of Linear Systems; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory; Flow Separation; 5.5 Stability of Laminar Flows; 6 Existence Proof for Entropy Solutions by Means of Discretization Procedures; 6.1 Some Historical Remarks; 6.2 Reduction to Properties of Operator Sequences
6.3 Convergence Theorems6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 The Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; Some Extensive Monographs; Index |
| Record Nr. | UNINA-9910146229703321 |
|
Ansorge R (Rainer), <1931->
|
||
| Weinheim, : Wiley-VCH, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical models of fluiddynamics [[electronic resource] ] : modelling, theory, basic numerical facts : an introduction / / Rainer Ansorge
| Mathematical models of fluiddynamics [[electronic resource] ] : modelling, theory, basic numerical facts : an introduction / / Rainer Ansorge |
| Autore | Ansorge R (Rainer), <1931-> |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2003 |
| Descrizione fisica | 1 online resource (189 p.) |
| Disciplina |
532.05
532.05015118 532.5015118 532/.05/015118 |
| Soggetto topico | Fluid dynamics - Mathematical models |
| ISBN |
1-280-52103-1
9786610521036 3-527-60639-4 3-527-60277-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
3.3 Uniqueness of Entropy Solutions3.4 The Ansatz due to Kruzkov; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem in the Case of Linear Systems; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory; Flow Separation; 5.5 Stability of Laminar Flows; 6 Existence Proof for Entropy Solutions by Means of Discretization Procedures; 6.1 Some Historical Remarks; 6.2 Reduction to Properties of Operator Sequences
6.3 Convergence Theorems6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 The Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; Some Extensive Monographs; Index |
| Record Nr. | UNINA-9910829902403321 |
|
Ansorge R (Rainer), <1931->
|
||
| Weinheim, : Wiley-VCH, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical models of fluiddynamics : modelling, theory, basic numerical facts : an introduction / / Rainer Ansorge
| Mathematical models of fluiddynamics : modelling, theory, basic numerical facts : an introduction / / Rainer Ansorge |
| Autore | Ansorge R (Rainer), <1931-> |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2003 |
| Descrizione fisica | 1 online resource (189 p.) |
| Disciplina |
532.05
532.05015118 532.5015118 532/.05/015118 |
| Soggetto topico | Fluid dynamics - Mathematical models |
| ISBN |
1-280-52103-1
9786610521036 3-527-60639-4 3-527-60277-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
3.3 Uniqueness of Entropy Solutions3.4 The Ansatz due to Kruzkov; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem in the Case of Linear Systems; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory; Flow Separation; 5.5 Stability of Laminar Flows; 6 Existence Proof for Entropy Solutions by Means of Discretization Procedures; 6.1 Some Historical Remarks; 6.2 Reduction to Properties of Operator Sequences
6.3 Convergence Theorems6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 The Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; Some Extensive Monographs; Index |
| Record Nr. | UNINA-9910876780003321 |
|
Ansorge R (Rainer), <1931->
|
||
| Weinheim, : Wiley-VCH, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||