Implementation of Finite Element Methods for Navier-Stokes Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1981
|
| Schriftenreihe: | Springer Series in Computational Physics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In structure mechanics analysis, finite element methods are now well established and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes approximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage requirement. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of beams, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients, of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by Navier Stokes equations |
| Beschreibung: | 1 Online-Ressource (VIII, 164 p.) 9 illus |
| ISBN: | 9783642870477 9783642870491 |
| ISSN: | 1434-8322 |
| DOI: | 10.1007/978-3-642-87047-7 |
Internformat
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Thomasset, François |
| author_facet | Thomasset, François |
| author_role | aut |
| author_sort | Thomasset, François |
| author_variant | f t ft |
| building | Verbundindex |
| bvnumber | BV042413986 |
| classification_tum | PHY 000 |
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| dewey-full | 533.62 532 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 533 - Pneumatics (Gas mechanics) 532 - Fluid mechanics |
| dewey-raw | 533.62 532 |
| dewey-search | 533.62 532 |
| dewey-sort | 3533.62 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1007/978-3-642-87047-7 |
| format | Electronic eBook |
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| id | DE-604.BV042413986 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:54Z |
| institution | BVB |
| isbn | 9783642870477 9783642870491 |
| issn | 1434-8322 |
| language | English |
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| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource (VIII, 164 p.) 9 illus |
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| publishDate | 1981 |
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| publisher | Springer Berlin Heidelberg |
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| series2 | Springer Series in Computational Physics |
| spelling | Thomasset, François Verfasser aut Implementation of Finite Element Methods for Navier-Stokes Equations by François Thomasset Berlin, Heidelberg Springer Berlin Heidelberg 1981 1 Online-Ressource (VIII, 164 p.) 9 illus txt rdacontent c rdamedia cr rdacarrier Springer Series in Computational Physics 1434-8322 In structure mechanics analysis, finite element methods are now well established and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes approximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage requirement. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of beams, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients, of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by Navier Stokes equations Physics Mathematical physics Fluid- and Aerodynamics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Hydromechanik (DE-588)4026312-5 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s 2\p DE-604 Hydromechanik (DE-588)4026312-5 s 3\p DE-604 https://doi.org/10.1007/978-3-642-87047-7 Verlag 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Thomasset, François Implementation of Finite Element Methods for Navier-Stokes Equations Physics Mathematical physics Fluid- and Aerodynamics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Numerisches Verfahren (DE-588)4128130-5 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Hydromechanik (DE-588)4026312-5 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4041456-5 (DE-588)4017233-8 (DE-588)4026312-5 |
| title | Implementation of Finite Element Methods for Navier-Stokes Equations |
| title_auth | Implementation of Finite Element Methods for Navier-Stokes Equations |
| title_exact_search | Implementation of Finite Element Methods for Navier-Stokes Equations |
| title_full | Implementation of Finite Element Methods for Navier-Stokes Equations by François Thomasset |
| title_fullStr | Implementation of Finite Element Methods for Navier-Stokes Equations by François Thomasset |
| title_full_unstemmed | Implementation of Finite Element Methods for Navier-Stokes Equations by François Thomasset |
| title_short | Implementation of Finite Element Methods for Navier-Stokes Equations |
| title_sort | implementation of finite element methods for navier stokes equations |
| topic | Physics Mathematical physics Fluid- and Aerodynamics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Numerisches Verfahren (DE-588)4128130-5 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Hydromechanik (DE-588)4026312-5 gnd |
| topic_facet | Physics Mathematical physics Fluid- and Aerodynamics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Numerisches Verfahren Navier-Stokes-Gleichung Finite-Elemente-Methode Hydromechanik |
| url | https://doi.org/10.1007/978-3-642-87047-7 |
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