Introduction to numerical geodynamic modelling:
Numerical modelling of geodynamic processes was predominantly the domain of high-level mathematicians experienced in numerical and computational techniques. Now, for the first time, students and new researchers in the Earth Sciences can learn the basic theory and applications from a single, accessib...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2010
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| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Numerical modelling of geodynamic processes was predominantly the domain of high-level mathematicians experienced in numerical and computational techniques. Now, for the first time, students and new researchers in the Earth Sciences can learn the basic theory and applications from a single, accessible reference text. Assuming only minimal prerequisite mathematical training (simple linear algebra and derivatives) the author provides a solid grounding in basic mathematical theory and techniques, including continuum mechanics and partial differential equations, before introducing key numerical and modelling methods. 8 well-documented, state-of–the-art visco-elasto-plastic, 2-D models are then presented, which allow robust modelling of key dynamic processes such as subduction, lithospheric extension, collision, slab break-off, intrusion emplacement, mantle convection and planetary core formation. Incorporating 47 practical exercises and 67 MATLAB examples (for which codes are available online at www.cambridge.org/gerya), this textbook provides a user-friendly introduction for graduate courses or self-study, encouraging readers to experiment with geodynamic models |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xi, 345 pages) |
| ISBN: | 9780511809101 |
| DOI: | 10.1017/CBO9780511809101 |
Staff View
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| 520 | |a Numerical modelling of geodynamic processes was predominantly the domain of high-level mathematicians experienced in numerical and computational techniques. Now, for the first time, students and new researchers in the Earth Sciences can learn the basic theory and applications from a single, accessible reference text. Assuming only minimal prerequisite mathematical training (simple linear algebra and derivatives) the author provides a solid grounding in basic mathematical theory and techniques, including continuum mechanics and partial differential equations, before introducing key numerical and modelling methods. 8 well-documented, state-of–the-art visco-elasto-plastic, 2-D models are then presented, which allow robust modelling of key dynamic processes such as subduction, lithospheric extension, collision, slab break-off, intrusion emplacement, mantle convection and planetary core formation. Incorporating 47 practical exercises and 67 MATLAB examples (for which codes are available online at www.cambridge.org/gerya), this textbook provides a user-friendly introduction for graduate courses or self-study, encouraging readers to experiment with geodynamic models | ||
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| author | Gerya, Taras V. 1962- |
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| contents | The continuity equation -- Density and gravity -- Numerical solutions of partial differential equations -- Stress and strain -- The momentum equation -- Viscous rheology of rocks -- Numerical solutions of the momentum and continuity equations -- The advection equation marker-in-cell method -- The heat conservation equation -- Numerical solution of the heat conservation equation -- 2-D thermomechanical code structure -- Elasticity and plasticity -- 2-D implementation of visco-elastic-plastic rheology -- The multi-grid method -- Programming of 3-D problems -- Numerical benchmarks -- Design of 2-D numerical geodynamic models |
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| dewey-full | 550.1/5118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 550 - Earth sciences |
| dewey-raw | 550.1/5118 |
| dewey-search | 550.1/5118 |
| dewey-sort | 3550.1 45118 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie Geographie |
| doi_str_mv | 10.1017/CBO9780511809101 |
| format | Electronic eBook |
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| id | DE-604.BV043943027 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:18Z |
| institution | BVB |
| isbn | 9780511809101 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351998 |
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| physical | 1 online resource (xi, 345 pages) |
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| spelling | Gerya, Taras V. 1962- Verfasser (DE-588)135825660 aut Introduction to numerical geodynamic modelling Taras V. Gerya Cambridge Cambridge University Press 2010 1 online resource (xi, 345 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) The continuity equation -- Density and gravity -- Numerical solutions of partial differential equations -- Stress and strain -- The momentum equation -- Viscous rheology of rocks -- Numerical solutions of the momentum and continuity equations -- The advection equation marker-in-cell method -- The heat conservation equation -- Numerical solution of the heat conservation equation -- 2-D thermomechanical code structure -- Elasticity and plasticity -- 2-D implementation of visco-elastic-plastic rheology -- The multi-grid method -- Programming of 3-D problems -- Numerical benchmarks -- Design of 2-D numerical geodynamic models Numerical modelling of geodynamic processes was predominantly the domain of high-level mathematicians experienced in numerical and computational techniques. Now, for the first time, students and new researchers in the Earth Sciences can learn the basic theory and applications from a single, accessible reference text. Assuming only minimal prerequisite mathematical training (simple linear algebra and derivatives) the author provides a solid grounding in basic mathematical theory and techniques, including continuum mechanics and partial differential equations, before introducing key numerical and modelling methods. 8 well-documented, state-of–the-art visco-elasto-plastic, 2-D models are then presented, which allow robust modelling of key dynamic processes such as subduction, lithospheric extension, collision, slab break-off, intrusion emplacement, mantle convection and planetary core formation. Incorporating 47 practical exercises and 67 MATLAB examples (for which codes are available online at www.cambridge.org/gerya), this textbook provides a user-friendly introduction for graduate courses or self-study, encouraging readers to experiment with geodynamic models Mathematisches Modell Geophysics / Mathematical models Geodynamics / Mathematical models Geodynamik (DE-588)4020212-4 gnd rswk-swf Geophysik (DE-588)4020252-5 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Mathematische Modellierung (DE-588)7651795-0 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Geodynamik (DE-588)4020212-4 s Numerisches Modell (DE-588)4338132-7 s Geophysik (DE-588)4020252-5 s Mathematische Modellierung (DE-588)7651795-0 s 1\p DE-604 Modellierung (DE-588)4170297-9 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-88754-0 https://doi.org/10.1017/CBO9780511809101 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gerya, Taras V. 1962- Introduction to numerical geodynamic modelling The continuity equation -- Density and gravity -- Numerical solutions of partial differential equations -- Stress and strain -- The momentum equation -- Viscous rheology of rocks -- Numerical solutions of the momentum and continuity equations -- The advection equation marker-in-cell method -- The heat conservation equation -- Numerical solution of the heat conservation equation -- 2-D thermomechanical code structure -- Elasticity and plasticity -- 2-D implementation of visco-elastic-plastic rheology -- The multi-grid method -- Programming of 3-D problems -- Numerical benchmarks -- Design of 2-D numerical geodynamic models Mathematisches Modell Geophysics / Mathematical models Geodynamics / Mathematical models Geodynamik (DE-588)4020212-4 gnd Geophysik (DE-588)4020252-5 gnd Modellierung (DE-588)4170297-9 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| subject_GND | (DE-588)4020212-4 (DE-588)4020252-5 (DE-588)4170297-9 (DE-588)7651795-0 (DE-588)4338132-7 |
| title | Introduction to numerical geodynamic modelling |
| title_auth | Introduction to numerical geodynamic modelling |
| title_exact_search | Introduction to numerical geodynamic modelling |
| title_full | Introduction to numerical geodynamic modelling Taras V. Gerya |
| title_fullStr | Introduction to numerical geodynamic modelling Taras V. Gerya |
| title_full_unstemmed | Introduction to numerical geodynamic modelling Taras V. Gerya |
| title_short | Introduction to numerical geodynamic modelling |
| title_sort | introduction to numerical geodynamic modelling |
| topic | Mathematisches Modell Geophysics / Mathematical models Geodynamics / Mathematical models Geodynamik (DE-588)4020212-4 gnd Geophysik (DE-588)4020252-5 gnd Modellierung (DE-588)4170297-9 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| topic_facet | Mathematisches Modell Geophysics / Mathematical models Geodynamics / Mathematical models Geodynamik Geophysik Modellierung Mathematische Modellierung Numerisches Modell |
| url | https://doi.org/10.1017/CBO9780511809101 |
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