The finite element method for fluid dynamics /:
The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady an...
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| Hauptverfasser: | , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford :
Butterworth-Heinemann,
2014.
|
| Ausgabe: | Seventh edition. |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Zusammenfassung: | The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems. Biofluid dynamics, covering flow throughout the human arterial system. Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics. Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz. Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation. |
| Beschreibung: | 1 online resource (xxxvi, 544 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and indexes. |
| ISBN: | 9780080951379 0080951376 9781306160902 1306160901 |
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| 245 | 1 | 4 | |a The finite element method for fluid dynamics / |c by Olek C. Zienkiewicz, Robert L. Taylor, P. Nithiarasu. |
| 250 | |a Seventh edition. | ||
| 264 | 1 | |a Oxford : |b Butterworth-Heinemann, |c 2014. | |
| 300 | |a 1 online resource (xxxvi, 544 pages) : |b illustrations | ||
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| 588 | 0 | |a Print version record. | |
| 520 | |a The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems. Biofluid dynamics, covering flow throughout the human arterial system. Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics. Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz. Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation. | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a Note continued: 12.6.5. Trefftz-type finite elements for waves -- 12.7. Refraction -- 12.7.1. Wave speed refraction -- 12.7.2. Refraction caused by flows -- 12.8. Spectral finite elements for waves -- 12.9. Discontinuous Galerkin finite elements (DGFE) -- 12.10. Concluding remarks -- References -- ch. 13 Fluid -- Structure Interaction -- 13.1. Introduction -- 13.2. One-dimensional fluid -- structure interaction -- 13.2.1. Equations -- 13.2.2. Characteristic analysis -- 13.2.3. Boundary conditions -- 13.2.4. Solution method: Taylor-Galerkin method -- 13.2.5. Some results -- 13.3. Multidimensional problems -- 13.3.1. Equations and discretization -- 13.3.2. Segregated approach -- 13.3.3. Mesh moving procedures -- 13.4. Concluding remarks -- References -- ch. 14 Biofluid Dynamics -- 14.1. Introduction -- 14.2. Flow in human arterial system -- 14.2.1. Heart -- 14.2.2. Reflections -- 14.2.3. Aortic valve -- 14.2.4. Vessel branching -- 14.2.5. Terminal vessels -- 14.2.6. Numerical solution -- 14.3. Image-based subject-specific flow modeling -- 14.3.1. Image segmentation -- 14.3.2. Geometrical potential force (GPF) -- 14.3.3. Numerical solution, initial and boundary conditions -- 14.3.4. Domain discretization -- 14.3.5. Flow solution -- 14.4. Concluding remarks -- References -- ch. 15 Computer Implementation of the CBS Algorithm -- 15.1. Introduction -- 15.2. The data input module -- 15.2.1. Mesh data: Nodal coordinates and connectivity -- 15.2.2. Boundary data -- 15.2.3. Other necessary data and flags -- 15.2.4. Preliminary subroutines and checks -- 15.3. Solution module -- 15.3.1. Time step -- 15.3.2. Shock capture -- 15.3.3. CBS algorithm: Steps -- 15.3.4. Boundary conditions -- 15.3.5. Solution of simultaneous equations: Semi-implicit form -- 15.3.6. Different forms of energy equation -- 15.3.7. Convergence to steady state -- 15.4. Output module -- References. | |
| 650 | 0 | |a Fluid dynamics |x Mathematics. | |
| 650 | 0 | |a Finite element method. |0 http://id.loc.gov/authorities/subjects/sh85048349 | |
| 650 | 6 | |a Dynamique des fluides |x Mathématiques. | |
| 650 | 6 | |a Méthode des éléments finis. | |
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| 700 | 1 | |a Nithiarasu, Perumal, |e author. | |
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| author | Zienkiewicz, O. C. Taylor, Robert L. (Robert Leroy), 1934- Nithiarasu, Perumal |
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| contents | Note continued: 12.6.5. Trefftz-type finite elements for waves -- 12.7. Refraction -- 12.7.1. Wave speed refraction -- 12.7.2. Refraction caused by flows -- 12.8. Spectral finite elements for waves -- 12.9. Discontinuous Galerkin finite elements (DGFE) -- 12.10. Concluding remarks -- References -- ch. 13 Fluid -- Structure Interaction -- 13.1. Introduction -- 13.2. One-dimensional fluid -- structure interaction -- 13.2.1. Equations -- 13.2.2. Characteristic analysis -- 13.2.3. Boundary conditions -- 13.2.4. Solution method: Taylor-Galerkin method -- 13.2.5. Some results -- 13.3. Multidimensional problems -- 13.3.1. Equations and discretization -- 13.3.2. Segregated approach -- 13.3.3. Mesh moving procedures -- 13.4. Concluding remarks -- References -- ch. 14 Biofluid Dynamics -- 14.1. Introduction -- 14.2. Flow in human arterial system -- 14.2.1. Heart -- 14.2.2. Reflections -- 14.2.3. Aortic valve -- 14.2.4. Vessel branching -- 14.2.5. Terminal vessels -- 14.2.6. Numerical solution -- 14.3. Image-based subject-specific flow modeling -- 14.3.1. Image segmentation -- 14.3.2. Geometrical potential force (GPF) -- 14.3.3. Numerical solution, initial and boundary conditions -- 14.3.4. Domain discretization -- 14.3.5. Flow solution -- 14.4. Concluding remarks -- References -- ch. 15 Computer Implementation of the CBS Algorithm -- 15.1. Introduction -- 15.2. The data input module -- 15.2.1. Mesh data: Nodal coordinates and connectivity -- 15.2.2. Boundary data -- 15.2.3. Other necessary data and flags -- 15.2.4. Preliminary subroutines and checks -- 15.3. Solution module -- 15.3.1. Time step -- 15.3.2. Shock capture -- 15.3.3. CBS algorithm: Steps -- 15.3.4. Boundary conditions -- 15.3.5. Solution of simultaneous equations: Semi-implicit form -- 15.3.6. Different forms of energy equation -- 15.3.7. Convergence to steady state -- 15.4. Output module -- References. |
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| edition | Seventh edition. |
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C.,</subfield><subfield code="e">author.</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The finite element method for fluid dynamics /</subfield><subfield code="c">by Olek C. Zienkiewicz, Robert L. Taylor, P. Nithiarasu.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Seventh edition.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford :</subfield><subfield code="b">Butterworth-Heinemann,</subfield><subfield code="c">2014.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xxxvi, 544 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems. Biofluid dynamics, covering flow throughout the human arterial system. Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics. Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz. Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and indexes.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Note continued: 12.6.5. Trefftz-type finite elements for waves -- 12.7. Refraction -- 12.7.1. Wave speed refraction -- 12.7.2. Refraction caused by flows -- 12.8. Spectral finite elements for waves -- 12.9. Discontinuous Galerkin finite elements (DGFE) -- 12.10. Concluding remarks -- References -- ch. 13 Fluid -- Structure Interaction -- 13.1. Introduction -- 13.2. One-dimensional fluid -- structure interaction -- 13.2.1. Equations -- 13.2.2. Characteristic analysis -- 13.2.3. Boundary conditions -- 13.2.4. Solution method: Taylor-Galerkin method -- 13.2.5. Some results -- 13.3. Multidimensional problems -- 13.3.1. Equations and discretization -- 13.3.2. Segregated approach -- 13.3.3. Mesh moving procedures -- 13.4. Concluding remarks -- References -- ch. 14 Biofluid Dynamics -- 14.1. Introduction -- 14.2. Flow in human arterial system -- 14.2.1. Heart -- 14.2.2. Reflections -- 14.2.3. Aortic valve -- 14.2.4. Vessel branching -- 14.2.5. Terminal vessels -- 14.2.6. Numerical solution -- 14.3. Image-based subject-specific flow modeling -- 14.3.1. Image segmentation -- 14.3.2. Geometrical potential force (GPF) -- 14.3.3. Numerical solution, initial and boundary conditions -- 14.3.4. Domain discretization -- 14.3.5. Flow solution -- 14.4. Concluding remarks -- References -- ch. 15 Computer Implementation of the CBS Algorithm -- 15.1. Introduction -- 15.2. The data input module -- 15.2.1. Mesh data: Nodal coordinates and connectivity -- 15.2.2. Boundary data -- 15.2.3. Other necessary data and flags -- 15.2.4. Preliminary subroutines and checks -- 15.3. Solution module -- 15.3.1. Time step -- 15.3.2. Shock capture -- 15.3.3. CBS algorithm: Steps -- 15.3.4. Boundary conditions -- 15.3.5. Solution of simultaneous equations: Semi-implicit form -- 15.3.6. Different forms of energy equation -- 15.3.7. Convergence to steady state -- 15.4. 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| genre | Electronic book. Electronic books. |
| genre_facet | Electronic book. Electronic books. |
| id | ZDB-4-EBA-ocn864713972 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:40Z |
| institution | BVB |
| isbn | 9780080951379 0080951376 9781306160902 1306160901 |
| language | English |
| lccn | 2013372332 |
| oclc_num | 864713972 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xxxvi, 544 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Butterworth-Heinemann, |
| record_format | marc |
| spelling | Zienkiewicz, O. C., author. The finite element method for fluid dynamics / by Olek C. Zienkiewicz, Robert L. Taylor, P. Nithiarasu. Seventh edition. Oxford : Butterworth-Heinemann, 2014. 1 online resource (xxxvi, 544 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Print version record. The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems. Biofluid dynamics, covering flow throughout the human arterial system. Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics. Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz. Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation. Includes bibliographical references and indexes. Note continued: 12.6.5. Trefftz-type finite elements for waves -- 12.7. Refraction -- 12.7.1. Wave speed refraction -- 12.7.2. Refraction caused by flows -- 12.8. Spectral finite elements for waves -- 12.9. Discontinuous Galerkin finite elements (DGFE) -- 12.10. Concluding remarks -- References -- ch. 13 Fluid -- Structure Interaction -- 13.1. Introduction -- 13.2. One-dimensional fluid -- structure interaction -- 13.2.1. Equations -- 13.2.2. Characteristic analysis -- 13.2.3. Boundary conditions -- 13.2.4. Solution method: Taylor-Galerkin method -- 13.2.5. Some results -- 13.3. Multidimensional problems -- 13.3.1. Equations and discretization -- 13.3.2. Segregated approach -- 13.3.3. Mesh moving procedures -- 13.4. Concluding remarks -- References -- ch. 14 Biofluid Dynamics -- 14.1. Introduction -- 14.2. Flow in human arterial system -- 14.2.1. Heart -- 14.2.2. Reflections -- 14.2.3. Aortic valve -- 14.2.4. Vessel branching -- 14.2.5. Terminal vessels -- 14.2.6. Numerical solution -- 14.3. Image-based subject-specific flow modeling -- 14.3.1. Image segmentation -- 14.3.2. Geometrical potential force (GPF) -- 14.3.3. Numerical solution, initial and boundary conditions -- 14.3.4. Domain discretization -- 14.3.5. Flow solution -- 14.4. Concluding remarks -- References -- ch. 15 Computer Implementation of the CBS Algorithm -- 15.1. Introduction -- 15.2. The data input module -- 15.2.1. Mesh data: Nodal coordinates and connectivity -- 15.2.2. Boundary data -- 15.2.3. Other necessary data and flags -- 15.2.4. Preliminary subroutines and checks -- 15.3. Solution module -- 15.3.1. Time step -- 15.3.2. Shock capture -- 15.3.3. CBS algorithm: Steps -- 15.3.4. Boundary conditions -- 15.3.5. Solution of simultaneous equations: Semi-implicit form -- 15.3.6. Different forms of energy equation -- 15.3.7. Convergence to steady state -- 15.4. Output module -- References. Fluid dynamics Mathematics. Finite element method. http://id.loc.gov/authorities/subjects/sh85048349 Dynamique des fluides Mathématiques. Méthode des éléments finis. TECHNOLOGY & ENGINEERING Engineering (General) bisacsh TECHNOLOGY & ENGINEERING Reference. bisacsh Finite element method fast Fluid dynamics Mathematics fast Electronic book. Electronic books. Taylor, Robert L. (Robert Leroy), 1934- author. http://id.loc.gov/authorities/names/n94023604 Nithiarasu, Perumal, author. has work: The finite element method V. 1 (Text) https://id.oclc.org/worldcat/entity/E39PD36yvBGD8R8pMXPtjh6Td3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Zienkiewicz, O.C. Finite element method for fluid dynamics. Seventh edition. Oxford : Butterworth-Heinemann, [2014] 9781856176354 (OCoLC)869413341 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=485473 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/book/9781856176354 Volltext |
| spellingShingle | Zienkiewicz, O. C. Taylor, Robert L. (Robert Leroy), 1934- Nithiarasu, Perumal The finite element method for fluid dynamics / Note continued: 12.6.5. Trefftz-type finite elements for waves -- 12.7. Refraction -- 12.7.1. Wave speed refraction -- 12.7.2. Refraction caused by flows -- 12.8. Spectral finite elements for waves -- 12.9. Discontinuous Galerkin finite elements (DGFE) -- 12.10. Concluding remarks -- References -- ch. 13 Fluid -- Structure Interaction -- 13.1. Introduction -- 13.2. One-dimensional fluid -- structure interaction -- 13.2.1. Equations -- 13.2.2. Characteristic analysis -- 13.2.3. Boundary conditions -- 13.2.4. Solution method: Taylor-Galerkin method -- 13.2.5. Some results -- 13.3. Multidimensional problems -- 13.3.1. Equations and discretization -- 13.3.2. Segregated approach -- 13.3.3. Mesh moving procedures -- 13.4. Concluding remarks -- References -- ch. 14 Biofluid Dynamics -- 14.1. Introduction -- 14.2. Flow in human arterial system -- 14.2.1. Heart -- 14.2.2. Reflections -- 14.2.3. Aortic valve -- 14.2.4. Vessel branching -- 14.2.5. Terminal vessels -- 14.2.6. Numerical solution -- 14.3. Image-based subject-specific flow modeling -- 14.3.1. Image segmentation -- 14.3.2. Geometrical potential force (GPF) -- 14.3.3. Numerical solution, initial and boundary conditions -- 14.3.4. Domain discretization -- 14.3.5. Flow solution -- 14.4. Concluding remarks -- References -- ch. 15 Computer Implementation of the CBS Algorithm -- 15.1. Introduction -- 15.2. The data input module -- 15.2.1. Mesh data: Nodal coordinates and connectivity -- 15.2.2. Boundary data -- 15.2.3. Other necessary data and flags -- 15.2.4. Preliminary subroutines and checks -- 15.3. Solution module -- 15.3.1. Time step -- 15.3.2. Shock capture -- 15.3.3. CBS algorithm: Steps -- 15.3.4. Boundary conditions -- 15.3.5. Solution of simultaneous equations: Semi-implicit form -- 15.3.6. Different forms of energy equation -- 15.3.7. Convergence to steady state -- 15.4. Output module -- References. Fluid dynamics Mathematics. Finite element method. http://id.loc.gov/authorities/subjects/sh85048349 Dynamique des fluides Mathématiques. Méthode des éléments finis. TECHNOLOGY & ENGINEERING Engineering (General) bisacsh TECHNOLOGY & ENGINEERING Reference. bisacsh Finite element method fast Fluid dynamics Mathematics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85048349 |
| title | The finite element method for fluid dynamics / |
| title_auth | The finite element method for fluid dynamics / |
| title_exact_search | The finite element method for fluid dynamics / |
| title_full | The finite element method for fluid dynamics / by Olek C. Zienkiewicz, Robert L. Taylor, P. Nithiarasu. |
| title_fullStr | The finite element method for fluid dynamics / by Olek C. Zienkiewicz, Robert L. Taylor, P. Nithiarasu. |
| title_full_unstemmed | The finite element method for fluid dynamics / by Olek C. Zienkiewicz, Robert L. Taylor, P. Nithiarasu. |
| title_short | The finite element method for fluid dynamics / |
| title_sort | finite element method for fluid dynamics |
| topic | Fluid dynamics Mathematics. Finite element method. http://id.loc.gov/authorities/subjects/sh85048349 Dynamique des fluides Mathématiques. Méthode des éléments finis. TECHNOLOGY & ENGINEERING Engineering (General) bisacsh TECHNOLOGY & ENGINEERING Reference. bisacsh Finite element method fast Fluid dynamics Mathematics fast |
| topic_facet | Fluid dynamics Mathematics. Finite element method. Dynamique des fluides Mathématiques. Méthode des éléments finis. TECHNOLOGY & ENGINEERING Engineering (General) TECHNOLOGY & ENGINEERING Reference. Finite element method Fluid dynamics Mathematics Electronic book. Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=485473 https://www.sciencedirect.com/science/book/9781856176354 |
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