Numerical modeling of ocean circulation /:
The modelling of ocean circulation is important not only for its own sake, but also in terms of the prediction of weather patterns and the effects of climate change. This 2007 book introduces the basic computational techniques necessary for all models of the ocean and atmosphere, and the conditions...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2007.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The modelling of ocean circulation is important not only for its own sake, but also in terms of the prediction of weather patterns and the effects of climate change. This 2007 book introduces the basic computational techniques necessary for all models of the ocean and atmosphere, and the conditions they must satisfy. It describes the workings of ocean models, the problems that must be solved in their construction, and how to evaluate computational results. Major emphasis is placed on examining ocean models critically, and determining what they do well and what they do poorly. Numerical analysis is introduced as needed, and exercises are included to illustrate major points. Developed from notes for a course taught in physical oceanography at the College of Oceanic and Atmospheric Sciences at Oregon State University, this book is ideal for graduate students of oceanography, geophysics, climatology and atmospheric science, and researchers in oceanography and atmospheric science. |
| Beschreibung: | 1 online resource (ix, 242 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511648946 0511648944 0511267061 9780511267062 9780511618512 0511618514 |
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| 245 | 1 | 0 | |a Numerical modeling of ocean circulation / |c Robert N. Miller. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2007. | ||
| 300 | |a 1 online resource (ix, 242 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Cover -- Title -- Copyright -- Contents -- Preface -- 1 Introduction -- 2 Some basic results from numerical analysis -- 2.1 Simple discretizations of a linear advection equation -- 2.2 Analysis of numerical results -- 2.2.1 Consistency, stability, convergence: the fundamentals -- 2.3 Implicit methods -- 2.4 Dissipation and dispersion -- 2.5 A (very) brief introduction to finite-element methods -- 2.6 Higher-order methods -- 2.7 A first look at boundary-value problems -- 2.8 Well- and ill-posed problems -- 2.9 Exercises -- 3 Shallow-water models: the simplest ocean models -- 3.1 Introduction -- 3.2 Discrete methods for the shallow-water equations -- 3.3 Special considerations for nonlinear problems -- 3.3.1 Stability considerations for advection-diffusion equations -- 3.3.2 Nonlinear instability -- 3.4 Conservation laws and conservative difference schemes -- 3.5 Artificial dissipation revisited -- 3.6 Finite-element methods in two space dimensions -- 3.7 Open-boundary conditions -- 3.8 Examples -- 3.8.1 An early model of basin-scale circulation -- 3.8.2 Stable and unstable equilibria in shallow-water models -- 3.9 Choice of computational parameters: an example -- 3.10 Exercises -- 4 Primitive equation models -- 4.1 Specification of the primitive equation model -- 4.2 Dissipation -- 4.3 Dynamics of the rigid lid -- 4.3.1 Derivation of a practical rigid lid PE model -- 4.3.2 Examples with simple dynamics -- 4.3.3 Stability restrictions -- 4.4 Spinup of 3D models -- 4.5 Consequences of discretization -- 4.6 The importance of vertical resolution -- 4.7 Example: Transport in the Drake Passage and the large-scale circulation -- 4.8 Example: Separation of the Brazil current from the coast -- 4.9 Generalized vertical coordinates -- 4.10 Layer models -- 4.11 Open-boundary conditions -- 4.12 Finely resolved calculations -- 4.13 Exercises -- 5 Quasigeostrophic models -- 5.1 Background and notation -- 5.2 Computation -- 5.2.1 Vertical discretization -- 5.3 Dissipation -- 5.4 Open-boundary models -- 6 Models of the coastal ocean -- 6.1 Introduction -- 6.2 Example: A high-resolution two-dimensional model of upwelling circulation on the Oregon shelf -- 6.3 Example: A three-dimensional calculation off the coast of California -- 6.4 Example: A finite-element model -- 6.5 Summary -- 6.6 Exercises -- 7 Models of the tropical ocean -- 7.1 Introduction -- 7.2 Waves in the equatorial ocean -- 7.3 Simple models of the tropical oceans -- 7.3.1 A simple gridded model of the tropical ocean -- 7.3.2 Example: Application of a simple model of the tropical Pacific Ocean -- 7.3.3 Simple models of the tropical Atlantic Ocean -- 7.4 Application of general circulation models -- 7.4.1 Comparisons to simple models -- 7.4.2 Example: Dynamic balances in model equatorial undercurrents -- 7.5 Conclusions -- 7.6 Exercises -- References -- Index. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a The modelling of ocean circulation is important not only for its own sake, but also in terms of the prediction of weather patterns and the effects of climate change. This 2007 book introduces the basic computational techniques necessary for all models of the ocean and atmosphere, and the conditions they must satisfy. It describes the workings of ocean models, the problems that must be solved in their construction, and how to evaluate computational results. Major emphasis is placed on examining ocean models critically, and determining what they do well and what they do poorly. Numerical analysis is introduced as needed, and exercises are included to illustrate major points. Developed from notes for a course taught in physical oceanography at the College of Oceanic and Atmospheric Sciences at Oregon State University, this book is ideal for graduate students of oceanography, geophysics, climatology and atmospheric science, and researchers in oceanography and atmospheric science. | ||
| 650 | 0 | |a Ocean circulation |x Mathematical models. | |
| 650 | 6 | |a Circulation océanique |x Modèles mathématiques. | |
| 650 | 7 | |a SCIENCE |x Earth Sciences |x Oceanography. |2 bisacsh | |
| 650 | 7 | |a NATURE |x Ecosystems & Habitats |x Oceans & Seas. |2 bisacsh | |
| 650 | 7 | |a Ocean circulation |x Mathematical models |2 fast | |
| 650 | 7 | |a Circulation océanique |x Modèles mathématiques. |2 ram | |
| 758 | |i has work: |a Numerical modeling of ocean circulation (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG8MbGGDkmXbpY4HCXMmv3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Miller, Robert N. (Robert Naham), 1949- |t Numerical modeling of ocean circulation. |d Cambridge : Cambridge University Press, 2007 |z 9780521781824 |w (DLC) 2007274797 |w (OCoLC)71808110 |
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| author | Miller, Robert N. (Robert Naham), 1949- |
| author_GND | http://id.loc.gov/authorities/names/no2007056688 |
| author_facet | Miller, Robert N. (Robert Naham), 1949- |
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| contents | Cover -- Title -- Copyright -- Contents -- Preface -- 1 Introduction -- 2 Some basic results from numerical analysis -- 2.1 Simple discretizations of a linear advection equation -- 2.2 Analysis of numerical results -- 2.2.1 Consistency, stability, convergence: the fundamentals -- 2.3 Implicit methods -- 2.4 Dissipation and dispersion -- 2.5 A (very) brief introduction to finite-element methods -- 2.6 Higher-order methods -- 2.7 A first look at boundary-value problems -- 2.8 Well- and ill-posed problems -- 2.9 Exercises -- 3 Shallow-water models: the simplest ocean models -- 3.1 Introduction -- 3.2 Discrete methods for the shallow-water equations -- 3.3 Special considerations for nonlinear problems -- 3.3.1 Stability considerations for advection-diffusion equations -- 3.3.2 Nonlinear instability -- 3.4 Conservation laws and conservative difference schemes -- 3.5 Artificial dissipation revisited -- 3.6 Finite-element methods in two space dimensions -- 3.7 Open-boundary conditions -- 3.8 Examples -- 3.8.1 An early model of basin-scale circulation -- 3.8.2 Stable and unstable equilibria in shallow-water models -- 3.9 Choice of computational parameters: an example -- 3.10 Exercises -- 4 Primitive equation models -- 4.1 Specification of the primitive equation model -- 4.2 Dissipation -- 4.3 Dynamics of the rigid lid -- 4.3.1 Derivation of a practical rigid lid PE model -- 4.3.2 Examples with simple dynamics -- 4.3.3 Stability restrictions -- 4.4 Spinup of 3D models -- 4.5 Consequences of discretization -- 4.6 The importance of vertical resolution -- 4.7 Example: Transport in the Drake Passage and the large-scale circulation -- 4.8 Example: Separation of the Brazil current from the coast -- 4.9 Generalized vertical coordinates -- 4.10 Layer models -- 4.11 Open-boundary conditions -- 4.12 Finely resolved calculations -- 4.13 Exercises -- 5 Quasigeostrophic models -- 5.1 Background and notation -- 5.2 Computation -- 5.2.1 Vertical discretization -- 5.3 Dissipation -- 5.4 Open-boundary models -- 6 Models of the coastal ocean -- 6.1 Introduction -- 6.2 Example: A high-resolution two-dimensional model of upwelling circulation on the Oregon shelf -- 6.3 Example: A three-dimensional calculation off the coast of California -- 6.4 Example: A finite-element model -- 6.5 Summary -- 6.6 Exercises -- 7 Models of the tropical ocean -- 7.1 Introduction -- 7.2 Waves in the equatorial ocean -- 7.3 Simple models of the tropical oceans -- 7.3.1 A simple gridded model of the tropical ocean -- 7.3.2 Example: Application of a simple model of the tropical Pacific Ocean -- 7.3.3 Simple models of the tropical Atlantic Ocean -- 7.4 Application of general circulation models -- 7.4.1 Comparisons to simple models -- 7.4.2 Example: Dynamic balances in model equatorial undercurrents -- 7.5 Conclusions -- 7.6 Exercises -- References -- Index. |
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| discipline | Geologie / Paläontologie |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn589235795 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:03Z |
| institution | BVB |
| isbn | 9780511648946 0511648944 0511267061 9780511267062 9780511618512 0511618514 |
| language | English |
| oclc_num | 589235795 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 242 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Miller, Robert N. (Robert Naham), 1949- https://id.oclc.org/worldcat/entity/E39PCjJhvHvgJmTT3VjtrQjhRC http://id.loc.gov/authorities/names/no2007056688 Numerical modeling of ocean circulation / Robert N. Miller. Cambridge : Cambridge University Press, 2007. 1 online resource (ix, 242 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Cover -- Title -- Copyright -- Contents -- Preface -- 1 Introduction -- 2 Some basic results from numerical analysis -- 2.1 Simple discretizations of a linear advection equation -- 2.2 Analysis of numerical results -- 2.2.1 Consistency, stability, convergence: the fundamentals -- 2.3 Implicit methods -- 2.4 Dissipation and dispersion -- 2.5 A (very) brief introduction to finite-element methods -- 2.6 Higher-order methods -- 2.7 A first look at boundary-value problems -- 2.8 Well- and ill-posed problems -- 2.9 Exercises -- 3 Shallow-water models: the simplest ocean models -- 3.1 Introduction -- 3.2 Discrete methods for the shallow-water equations -- 3.3 Special considerations for nonlinear problems -- 3.3.1 Stability considerations for advection-diffusion equations -- 3.3.2 Nonlinear instability -- 3.4 Conservation laws and conservative difference schemes -- 3.5 Artificial dissipation revisited -- 3.6 Finite-element methods in two space dimensions -- 3.7 Open-boundary conditions -- 3.8 Examples -- 3.8.1 An early model of basin-scale circulation -- 3.8.2 Stable and unstable equilibria in shallow-water models -- 3.9 Choice of computational parameters: an example -- 3.10 Exercises -- 4 Primitive equation models -- 4.1 Specification of the primitive equation model -- 4.2 Dissipation -- 4.3 Dynamics of the rigid lid -- 4.3.1 Derivation of a practical rigid lid PE model -- 4.3.2 Examples with simple dynamics -- 4.3.3 Stability restrictions -- 4.4 Spinup of 3D models -- 4.5 Consequences of discretization -- 4.6 The importance of vertical resolution -- 4.7 Example: Transport in the Drake Passage and the large-scale circulation -- 4.8 Example: Separation of the Brazil current from the coast -- 4.9 Generalized vertical coordinates -- 4.10 Layer models -- 4.11 Open-boundary conditions -- 4.12 Finely resolved calculations -- 4.13 Exercises -- 5 Quasigeostrophic models -- 5.1 Background and notation -- 5.2 Computation -- 5.2.1 Vertical discretization -- 5.3 Dissipation -- 5.4 Open-boundary models -- 6 Models of the coastal ocean -- 6.1 Introduction -- 6.2 Example: A high-resolution two-dimensional model of upwelling circulation on the Oregon shelf -- 6.3 Example: A three-dimensional calculation off the coast of California -- 6.4 Example: A finite-element model -- 6.5 Summary -- 6.6 Exercises -- 7 Models of the tropical ocean -- 7.1 Introduction -- 7.2 Waves in the equatorial ocean -- 7.3 Simple models of the tropical oceans -- 7.3.1 A simple gridded model of the tropical ocean -- 7.3.2 Example: Application of a simple model of the tropical Pacific Ocean -- 7.3.3 Simple models of the tropical Atlantic Ocean -- 7.4 Application of general circulation models -- 7.4.1 Comparisons to simple models -- 7.4.2 Example: Dynamic balances in model equatorial undercurrents -- 7.5 Conclusions -- 7.6 Exercises -- References -- Index. Print version record. The modelling of ocean circulation is important not only for its own sake, but also in terms of the prediction of weather patterns and the effects of climate change. This 2007 book introduces the basic computational techniques necessary for all models of the ocean and atmosphere, and the conditions they must satisfy. It describes the workings of ocean models, the problems that must be solved in their construction, and how to evaluate computational results. Major emphasis is placed on examining ocean models critically, and determining what they do well and what they do poorly. Numerical analysis is introduced as needed, and exercises are included to illustrate major points. Developed from notes for a course taught in physical oceanography at the College of Oceanic and Atmospheric Sciences at Oregon State University, this book is ideal for graduate students of oceanography, geophysics, climatology and atmospheric science, and researchers in oceanography and atmospheric science. Ocean circulation Mathematical models. Circulation océanique Modèles mathématiques. SCIENCE Earth Sciences Oceanography. bisacsh NATURE Ecosystems & Habitats Oceans & Seas. bisacsh Ocean circulation Mathematical models fast Circulation océanique Modèles mathématiques. ram has work: Numerical modeling of ocean circulation (Text) https://id.oclc.org/worldcat/entity/E39PCG8MbGGDkmXbpY4HCXMmv3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Miller, Robert N. (Robert Naham), 1949- Numerical modeling of ocean circulation. Cambridge : Cambridge University Press, 2007 9780521781824 (DLC) 2007274797 (OCoLC)71808110 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=304553 Volltext |
| spellingShingle | Miller, Robert N. (Robert Naham), 1949- Numerical modeling of ocean circulation / Cover -- Title -- Copyright -- Contents -- Preface -- 1 Introduction -- 2 Some basic results from numerical analysis -- 2.1 Simple discretizations of a linear advection equation -- 2.2 Analysis of numerical results -- 2.2.1 Consistency, stability, convergence: the fundamentals -- 2.3 Implicit methods -- 2.4 Dissipation and dispersion -- 2.5 A (very) brief introduction to finite-element methods -- 2.6 Higher-order methods -- 2.7 A first look at boundary-value problems -- 2.8 Well- and ill-posed problems -- 2.9 Exercises -- 3 Shallow-water models: the simplest ocean models -- 3.1 Introduction -- 3.2 Discrete methods for the shallow-water equations -- 3.3 Special considerations for nonlinear problems -- 3.3.1 Stability considerations for advection-diffusion equations -- 3.3.2 Nonlinear instability -- 3.4 Conservation laws and conservative difference schemes -- 3.5 Artificial dissipation revisited -- 3.6 Finite-element methods in two space dimensions -- 3.7 Open-boundary conditions -- 3.8 Examples -- 3.8.1 An early model of basin-scale circulation -- 3.8.2 Stable and unstable equilibria in shallow-water models -- 3.9 Choice of computational parameters: an example -- 3.10 Exercises -- 4 Primitive equation models -- 4.1 Specification of the primitive equation model -- 4.2 Dissipation -- 4.3 Dynamics of the rigid lid -- 4.3.1 Derivation of a practical rigid lid PE model -- 4.3.2 Examples with simple dynamics -- 4.3.3 Stability restrictions -- 4.4 Spinup of 3D models -- 4.5 Consequences of discretization -- 4.6 The importance of vertical resolution -- 4.7 Example: Transport in the Drake Passage and the large-scale circulation -- 4.8 Example: Separation of the Brazil current from the coast -- 4.9 Generalized vertical coordinates -- 4.10 Layer models -- 4.11 Open-boundary conditions -- 4.12 Finely resolved calculations -- 4.13 Exercises -- 5 Quasigeostrophic models -- 5.1 Background and notation -- 5.2 Computation -- 5.2.1 Vertical discretization -- 5.3 Dissipation -- 5.4 Open-boundary models -- 6 Models of the coastal ocean -- 6.1 Introduction -- 6.2 Example: A high-resolution two-dimensional model of upwelling circulation on the Oregon shelf -- 6.3 Example: A three-dimensional calculation off the coast of California -- 6.4 Example: A finite-element model -- 6.5 Summary -- 6.6 Exercises -- 7 Models of the tropical ocean -- 7.1 Introduction -- 7.2 Waves in the equatorial ocean -- 7.3 Simple models of the tropical oceans -- 7.3.1 A simple gridded model of the tropical ocean -- 7.3.2 Example: Application of a simple model of the tropical Pacific Ocean -- 7.3.3 Simple models of the tropical Atlantic Ocean -- 7.4 Application of general circulation models -- 7.4.1 Comparisons to simple models -- 7.4.2 Example: Dynamic balances in model equatorial undercurrents -- 7.5 Conclusions -- 7.6 Exercises -- References -- Index. Ocean circulation Mathematical models. Circulation océanique Modèles mathématiques. SCIENCE Earth Sciences Oceanography. bisacsh NATURE Ecosystems & Habitats Oceans & Seas. bisacsh Ocean circulation Mathematical models fast Circulation océanique Modèles mathématiques. ram |
| title | Numerical modeling of ocean circulation / |
| title_auth | Numerical modeling of ocean circulation / |
| title_exact_search | Numerical modeling of ocean circulation / |
| title_full | Numerical modeling of ocean circulation / Robert N. Miller. |
| title_fullStr | Numerical modeling of ocean circulation / Robert N. Miller. |
| title_full_unstemmed | Numerical modeling of ocean circulation / Robert N. Miller. |
| title_short | Numerical modeling of ocean circulation / |
| title_sort | numerical modeling of ocean circulation |
| topic | Ocean circulation Mathematical models. Circulation océanique Modèles mathématiques. SCIENCE Earth Sciences Oceanography. bisacsh NATURE Ecosystems & Habitats Oceans & Seas. bisacsh Ocean circulation Mathematical models fast Circulation océanique Modèles mathématiques. ram |
| topic_facet | Ocean circulation Mathematical models. Circulation océanique Modèles mathématiques. SCIENCE Earth Sciences Oceanography. NATURE Ecosystems & Habitats Oceans & Seas. Ocean circulation Mathematical models |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=304553 |
| work_keys_str_mv | AT millerrobertn numericalmodelingofoceancirculation |