Computational rheology /:
Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject - problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liq...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London : River Edge, NJ :
Imperial College Press ; Distributed by World Scientific Pub. Co.,
©2002.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject - problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liquids, non-isothermal non-Newtonian flows or flows of highly elastic liquids through complex geometries, are now being tackled owing to the availability of parallel computers, adaptive methods and advances in constitutive modelling. Computational Rheology traces the development of numerical methods for non-Newtonian flows from the late 1960's to the present day. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, before specific computational techniques are discussed. The application of these techniques to some important rheological flow problems of academic and industrial interest is then treated in a detailed and up-to-date exposition. Finally, the reader is kept abreast of topics at the cutting edge of research in computational applied mathematics, such as adaptivity and stochastic partial differential equations. All the topics in this book are dealt with from an elementary level and this makes the text suitable for advanced undergraduate and graduate students, as well as experienced researchers from both the academic and industrial communities. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781860949425 1860949428 |
Internformat
MARC
| LEADER | 00000cam a2200000Ma 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn794360816 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu|||||||| | ||
| 008 | 040507s2002 enkac ob 001 0 eng | ||
| 040 | |a AU@ |b eng |e pn |c AU@ |d N$T |d I9W |d OCLCF |d OCLCQ |d YDXCP |d OCLCQ |d AGLDB |d OCLCQ |d VTS |d STF |d M8D |d UKAHL |d LEAUB |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d SXB |d OCLCQ | ||
| 019 | |a 1086499715 | ||
| 020 | |a 9781860949425 |q (electronic bk.) | ||
| 020 | |a 1860949428 |q (electronic bk.) | ||
| 020 | |z 9781860941863 | ||
| 020 | |z 1860941869 | ||
| 020 | |z 1860949428 | ||
| 035 | |a (OCoLC)794360816 |z (OCoLC)1086499715 | ||
| 050 | 4 | |a QA929.5 | |
| 072 | 7 | |a SCI |x 085000 |2 bisacsh | |
| 082 | 7 | |a 532/.0533/015118 |2 22 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Owens, R. G. |q (Robert G.) |1 https://id.oclc.org/worldcat/entity/E39PCjKjYDbyt8DF63kD4mJPw3 |0 http://id.loc.gov/authorities/names/nb2002068263 | |
| 245 | 1 | 0 | |a Computational rheology / |c R.G. Owens, T.N. Phillips. |
| 260 | |a London : |b Imperial College Press ; |a River Edge, NJ : |b Distributed by World Scientific Pub. Co., |c ©2002. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 1. Introduction. 1.1. Everything flows. 1.2. Non-Newtonian fluids. 1.3. Numerical simulation of non-Newtonian flow -- 2. Fundamentals. 2.1. Some important vectors. 2.2. Conservation laws and the stress tensor. 2.3. The Newtonian fluid. 2.4. The generalized Newtonian fluid. 2.5. The order fluids and the CEF equation. 2.6. More complicated constitutive relations -- 3. Mathematical theory of viscoelastic fluids. 3.1. Introduction. 3.2. Existence and uniqueness. 3.3. Properties of the differential systems. 3.4. Boundary conditions. 3.5. Singularities -- 4. Parameter estimation in continuum models. 4.1. Introduction. 4.2. Determination of viscosity. 4.3. Determination of the relaxation spectrum -- 5. From the continuous to the discrete. 5.1. Introduction. 5.2. Finite difference approximations. 5.3. Finite element approximations. 5.4. Finite volume methods. 5.5. Spectral methods. 5.6. Spectral element methods -- 6. Numerical algorithms for macroscopic models. 6.1. Introduction. 6.2. Prom Picard to Newton. 6.3. Differential models: steady flows. 6.4. Differential models: transient flows. 6.5. Computing with integral models. 6.6. Integral models: steady flows. 6.7. Integral models: transient flows -- 7. Defeating the high Weissenberg number problem. 7.1. Introduction. 7.2. Discretization of differential constitutive equations. 7.3. Discretization of the coupled governing equations -- 8. Benchmark problems I: contraction flows. 8.1. Vortex growth dynamics. 8.2. Vortex growth mechanisms. 8.3. Numerical simulation -- 9. Benchmark problems II. 9.1. Flow past a cylinder in a channel. 9.2. Flow past a sphere in a tube. 9.3. Flow between eccentrically rotating cylinders -- 10. Error estimation and adaptive strategies. 10.1. Introduction. 10.2. Problem description. 10.3. Discretization and error analysis (Galerkin method). 10.4. Adaptive strategies -- 11. Contemporary topics in computational rheology. 11.1. Advances in mathematical modelling. 11.2. Dynamics of dilute polymer solutions. 11.3. Closure approximations. 11.4. Stochastic differential equations. 11.5. Dynamics of polymer melts. 11.6. Lattice Boltzmann methods. 11.7. Closing comments. | |
| 520 | |a Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject - problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liquids, non-isothermal non-Newtonian flows or flows of highly elastic liquids through complex geometries, are now being tackled owing to the availability of parallel computers, adaptive methods and advances in constitutive modelling. Computational Rheology traces the development of numerical methods for non-Newtonian flows from the late 1960's to the present day. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, before specific computational techniques are discussed. The application of these techniques to some important rheological flow problems of academic and industrial interest is then treated in a detailed and up-to-date exposition. Finally, the reader is kept abreast of topics at the cutting edge of research in computational applied mathematics, such as adaptivity and stochastic partial differential equations. All the topics in this book are dealt with from an elementary level and this makes the text suitable for advanced undergraduate and graduate students, as well as experienced researchers from both the academic and industrial communities. | ||
| 650 | 0 | |a Non-Newtonian fluids |x Mathematical models. | |
| 650 | 0 | |a Viscoelasticity |x Mathematical models. | |
| 650 | 6 | |a Fluides non newtoniens |x Modèles mathématiques. | |
| 650 | 6 | |a Viscoélasticité |x Modèles mathématiques. | |
| 650 | 7 | |a SCIENCE |x Mechanics |x Fluids. |2 bisacsh | |
| 650 | 7 | |a Non-Newtonian fluids |x Mathematical models |2 fast | |
| 650 | 7 | |a Viscoelasticity |x Mathematical models |2 fast | |
| 700 | 1 | |a Phillips, Timothy N. | |
| 758 | |i has work: |a Computational rheology (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGQCqcD7CY3HJgqqFFmHT3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 1 | |z 1860941869 | |
| 776 | 1 | |z 9781860941863 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521315 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH24683094 | ||
| 938 | |a EBSCOhost |b EBSC |n 521315 | ||
| 938 | |a YBP Library Services |b YANK |n 9975155 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn794360816 |
|---|---|
| _version_ | 1816881796177985536 |
| adam_text | |
| any_adam_object | |
| author | Owens, R. G. (Robert G.) |
| author2 | Phillips, Timothy N. |
| author2_role | |
| author2_variant | t n p tn tnp |
| author_GND | http://id.loc.gov/authorities/names/nb2002068263 |
| author_facet | Owens, R. G. (Robert G.) Phillips, Timothy N. |
| author_role | |
| author_sort | Owens, R. G. |
| author_variant | r g o rg rgo |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA929 |
| callnumber-raw | QA929.5 |
| callnumber-search | QA929.5 |
| callnumber-sort | QA 3929.5 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 1. Introduction. 1.1. Everything flows. 1.2. Non-Newtonian fluids. 1.3. Numerical simulation of non-Newtonian flow -- 2. Fundamentals. 2.1. Some important vectors. 2.2. Conservation laws and the stress tensor. 2.3. The Newtonian fluid. 2.4. The generalized Newtonian fluid. 2.5. The order fluids and the CEF equation. 2.6. More complicated constitutive relations -- 3. Mathematical theory of viscoelastic fluids. 3.1. Introduction. 3.2. Existence and uniqueness. 3.3. Properties of the differential systems. 3.4. Boundary conditions. 3.5. Singularities -- 4. Parameter estimation in continuum models. 4.1. Introduction. 4.2. Determination of viscosity. 4.3. Determination of the relaxation spectrum -- 5. From the continuous to the discrete. 5.1. Introduction. 5.2. Finite difference approximations. 5.3. Finite element approximations. 5.4. Finite volume methods. 5.5. Spectral methods. 5.6. Spectral element methods -- 6. Numerical algorithms for macroscopic models. 6.1. Introduction. 6.2. Prom Picard to Newton. 6.3. Differential models: steady flows. 6.4. Differential models: transient flows. 6.5. Computing with integral models. 6.6. Integral models: steady flows. 6.7. Integral models: transient flows -- 7. Defeating the high Weissenberg number problem. 7.1. Introduction. 7.2. Discretization of differential constitutive equations. 7.3. Discretization of the coupled governing equations -- 8. Benchmark problems I: contraction flows. 8.1. Vortex growth dynamics. 8.2. Vortex growth mechanisms. 8.3. Numerical simulation -- 9. Benchmark problems II. 9.1. Flow past a cylinder in a channel. 9.2. Flow past a sphere in a tube. 9.3. Flow between eccentrically rotating cylinders -- 10. Error estimation and adaptive strategies. 10.1. Introduction. 10.2. Problem description. 10.3. Discretization and error analysis (Galerkin method). 10.4. Adaptive strategies -- 11. Contemporary topics in computational rheology. 11.1. Advances in mathematical modelling. 11.2. Dynamics of dilute polymer solutions. 11.3. Closure approximations. 11.4. Stochastic differential equations. 11.5. Dynamics of polymer melts. 11.6. Lattice Boltzmann methods. 11.7. Closing comments. |
| ctrlnum | (OCoLC)794360816 |
| dewey-full | 532/.0533/015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.0533/015118 |
| dewey-search | 532/.0533/015118 |
| dewey-sort | 3532 3533 515118 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05890cam a2200553Ma 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn794360816</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu||||||||</controlfield><controlfield tag="008">040507s2002 enkac ob 001 0 eng </controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">AU@</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">AU@</subfield><subfield code="d">N$T</subfield><subfield code="d">I9W</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">STF</subfield><subfield code="d">M8D</subfield><subfield code="d">UKAHL</subfield><subfield code="d">LEAUB</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">SXB</subfield><subfield code="d">OCLCQ</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">1086499715</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781860949425</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1860949428</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9781860941863</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">1860941869</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">1860949428</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)794360816</subfield><subfield code="z">(OCoLC)1086499715</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA929.5</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI</subfield><subfield code="x">085000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">532/.0533/015118</subfield><subfield code="2">22</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Owens, R. G.</subfield><subfield code="q">(Robert G.)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjKjYDbyt8DF63kD4mJPw3</subfield><subfield code="0">http://id.loc.gov/authorities/names/nb2002068263</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Computational rheology /</subfield><subfield code="c">R.G. Owens, T.N. Phillips.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">London :</subfield><subfield code="b">Imperial College Press ;</subfield><subfield code="a">River Edge, NJ :</subfield><subfield code="b">Distributed by World Scientific Pub. Co.,</subfield><subfield code="c">©2002.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource</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="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">1. Introduction. 1.1. Everything flows. 1.2. Non-Newtonian fluids. 1.3. Numerical simulation of non-Newtonian flow -- 2. Fundamentals. 2.1. Some important vectors. 2.2. Conservation laws and the stress tensor. 2.3. The Newtonian fluid. 2.4. The generalized Newtonian fluid. 2.5. The order fluids and the CEF equation. 2.6. More complicated constitutive relations -- 3. Mathematical theory of viscoelastic fluids. 3.1. Introduction. 3.2. Existence and uniqueness. 3.3. Properties of the differential systems. 3.4. Boundary conditions. 3.5. Singularities -- 4. Parameter estimation in continuum models. 4.1. Introduction. 4.2. Determination of viscosity. 4.3. Determination of the relaxation spectrum -- 5. From the continuous to the discrete. 5.1. Introduction. 5.2. Finite difference approximations. 5.3. Finite element approximations. 5.4. Finite volume methods. 5.5. Spectral methods. 5.6. Spectral element methods -- 6. Numerical algorithms for macroscopic models. 6.1. Introduction. 6.2. Prom Picard to Newton. 6.3. Differential models: steady flows. 6.4. Differential models: transient flows. 6.5. Computing with integral models. 6.6. Integral models: steady flows. 6.7. Integral models: transient flows -- 7. Defeating the high Weissenberg number problem. 7.1. Introduction. 7.2. Discretization of differential constitutive equations. 7.3. Discretization of the coupled governing equations -- 8. Benchmark problems I: contraction flows. 8.1. Vortex growth dynamics. 8.2. Vortex growth mechanisms. 8.3. Numerical simulation -- 9. Benchmark problems II. 9.1. Flow past a cylinder in a channel. 9.2. Flow past a sphere in a tube. 9.3. Flow between eccentrically rotating cylinders -- 10. Error estimation and adaptive strategies. 10.1. Introduction. 10.2. Problem description. 10.3. Discretization and error analysis (Galerkin method). 10.4. Adaptive strategies -- 11. Contemporary topics in computational rheology. 11.1. Advances in mathematical modelling. 11.2. Dynamics of dilute polymer solutions. 11.3. Closure approximations. 11.4. Stochastic differential equations. 11.5. Dynamics of polymer melts. 11.6. Lattice Boltzmann methods. 11.7. Closing comments.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject - problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liquids, non-isothermal non-Newtonian flows or flows of highly elastic liquids through complex geometries, are now being tackled owing to the availability of parallel computers, adaptive methods and advances in constitutive modelling. Computational Rheology traces the development of numerical methods for non-Newtonian flows from the late 1960's to the present day. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, before specific computational techniques are discussed. The application of these techniques to some important rheological flow problems of academic and industrial interest is then treated in a detailed and up-to-date exposition. Finally, the reader is kept abreast of topics at the cutting edge of research in computational applied mathematics, such as adaptivity and stochastic partial differential equations. All the topics in this book are dealt with from an elementary level and this makes the text suitable for advanced undergraduate and graduate students, as well as experienced researchers from both the academic and industrial communities.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Non-Newtonian fluids</subfield><subfield code="x">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Viscoelasticity</subfield><subfield code="x">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Fluides non newtoniens</subfield><subfield code="x">Modèles mathématiques.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Viscoélasticité</subfield><subfield code="x">Modèles mathématiques.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Mechanics</subfield><subfield code="x">Fluids.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Non-Newtonian fluids</subfield><subfield code="x">Mathematical models</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Viscoelasticity</subfield><subfield code="x">Mathematical models</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Phillips, Timothy N.</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Computational rheology (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGQCqcD7CY3HJgqqFFmHT3</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="1" ind2=" "><subfield code="z">1860941869</subfield></datafield><datafield tag="776" ind1="1" ind2=" "><subfield code="z">9781860941863</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521315</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH24683094</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">521315</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">9975155</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn794360816 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:24Z |
| institution | BVB |
| isbn | 9781860949425 1860949428 |
| language | English |
| oclc_num | 794360816 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource |
| psigel | ZDB-4-EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Imperial College Press ; Distributed by World Scientific Pub. Co., |
| record_format | marc |
| spelling | Owens, R. G. (Robert G.) https://id.oclc.org/worldcat/entity/E39PCjKjYDbyt8DF63kD4mJPw3 http://id.loc.gov/authorities/names/nb2002068263 Computational rheology / R.G. Owens, T.N. Phillips. London : Imperial College Press ; River Edge, NJ : Distributed by World Scientific Pub. Co., ©2002. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. 1. Introduction. 1.1. Everything flows. 1.2. Non-Newtonian fluids. 1.3. Numerical simulation of non-Newtonian flow -- 2. Fundamentals. 2.1. Some important vectors. 2.2. Conservation laws and the stress tensor. 2.3. The Newtonian fluid. 2.4. The generalized Newtonian fluid. 2.5. The order fluids and the CEF equation. 2.6. More complicated constitutive relations -- 3. Mathematical theory of viscoelastic fluids. 3.1. Introduction. 3.2. Existence and uniqueness. 3.3. Properties of the differential systems. 3.4. Boundary conditions. 3.5. Singularities -- 4. Parameter estimation in continuum models. 4.1. Introduction. 4.2. Determination of viscosity. 4.3. Determination of the relaxation spectrum -- 5. From the continuous to the discrete. 5.1. Introduction. 5.2. Finite difference approximations. 5.3. Finite element approximations. 5.4. Finite volume methods. 5.5. Spectral methods. 5.6. Spectral element methods -- 6. Numerical algorithms for macroscopic models. 6.1. Introduction. 6.2. Prom Picard to Newton. 6.3. Differential models: steady flows. 6.4. Differential models: transient flows. 6.5. Computing with integral models. 6.6. Integral models: steady flows. 6.7. Integral models: transient flows -- 7. Defeating the high Weissenberg number problem. 7.1. Introduction. 7.2. Discretization of differential constitutive equations. 7.3. Discretization of the coupled governing equations -- 8. Benchmark problems I: contraction flows. 8.1. Vortex growth dynamics. 8.2. Vortex growth mechanisms. 8.3. Numerical simulation -- 9. Benchmark problems II. 9.1. Flow past a cylinder in a channel. 9.2. Flow past a sphere in a tube. 9.3. Flow between eccentrically rotating cylinders -- 10. Error estimation and adaptive strategies. 10.1. Introduction. 10.2. Problem description. 10.3. Discretization and error analysis (Galerkin method). 10.4. Adaptive strategies -- 11. Contemporary topics in computational rheology. 11.1. Advances in mathematical modelling. 11.2. Dynamics of dilute polymer solutions. 11.3. Closure approximations. 11.4. Stochastic differential equations. 11.5. Dynamics of polymer melts. 11.6. Lattice Boltzmann methods. 11.7. Closing comments. Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject - problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liquids, non-isothermal non-Newtonian flows or flows of highly elastic liquids through complex geometries, are now being tackled owing to the availability of parallel computers, adaptive methods and advances in constitutive modelling. Computational Rheology traces the development of numerical methods for non-Newtonian flows from the late 1960's to the present day. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, before specific computational techniques are discussed. The application of these techniques to some important rheological flow problems of academic and industrial interest is then treated in a detailed and up-to-date exposition. Finally, the reader is kept abreast of topics at the cutting edge of research in computational applied mathematics, such as adaptivity and stochastic partial differential equations. All the topics in this book are dealt with from an elementary level and this makes the text suitable for advanced undergraduate and graduate students, as well as experienced researchers from both the academic and industrial communities. Non-Newtonian fluids Mathematical models. Viscoelasticity Mathematical models. Fluides non newtoniens Modèles mathématiques. Viscoélasticité Modèles mathématiques. SCIENCE Mechanics Fluids. bisacsh Non-Newtonian fluids Mathematical models fast Viscoelasticity Mathematical models fast Phillips, Timothy N. has work: Computational rheology (Text) https://id.oclc.org/worldcat/entity/E39PCGQCqcD7CY3HJgqqFFmHT3 https://id.oclc.org/worldcat/ontology/hasWork 1860941869 9781860941863 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521315 Volltext |
| spellingShingle | Owens, R. G. (Robert G.) Computational rheology / 1. Introduction. 1.1. Everything flows. 1.2. Non-Newtonian fluids. 1.3. Numerical simulation of non-Newtonian flow -- 2. Fundamentals. 2.1. Some important vectors. 2.2. Conservation laws and the stress tensor. 2.3. The Newtonian fluid. 2.4. The generalized Newtonian fluid. 2.5. The order fluids and the CEF equation. 2.6. More complicated constitutive relations -- 3. Mathematical theory of viscoelastic fluids. 3.1. Introduction. 3.2. Existence and uniqueness. 3.3. Properties of the differential systems. 3.4. Boundary conditions. 3.5. Singularities -- 4. Parameter estimation in continuum models. 4.1. Introduction. 4.2. Determination of viscosity. 4.3. Determination of the relaxation spectrum -- 5. From the continuous to the discrete. 5.1. Introduction. 5.2. Finite difference approximations. 5.3. Finite element approximations. 5.4. Finite volume methods. 5.5. Spectral methods. 5.6. Spectral element methods -- 6. Numerical algorithms for macroscopic models. 6.1. Introduction. 6.2. Prom Picard to Newton. 6.3. Differential models: steady flows. 6.4. Differential models: transient flows. 6.5. Computing with integral models. 6.6. Integral models: steady flows. 6.7. Integral models: transient flows -- 7. Defeating the high Weissenberg number problem. 7.1. Introduction. 7.2. Discretization of differential constitutive equations. 7.3. Discretization of the coupled governing equations -- 8. Benchmark problems I: contraction flows. 8.1. Vortex growth dynamics. 8.2. Vortex growth mechanisms. 8.3. Numerical simulation -- 9. Benchmark problems II. 9.1. Flow past a cylinder in a channel. 9.2. Flow past a sphere in a tube. 9.3. Flow between eccentrically rotating cylinders -- 10. Error estimation and adaptive strategies. 10.1. Introduction. 10.2. Problem description. 10.3. Discretization and error analysis (Galerkin method). 10.4. Adaptive strategies -- 11. Contemporary topics in computational rheology. 11.1. Advances in mathematical modelling. 11.2. Dynamics of dilute polymer solutions. 11.3. Closure approximations. 11.4. Stochastic differential equations. 11.5. Dynamics of polymer melts. 11.6. Lattice Boltzmann methods. 11.7. Closing comments. Non-Newtonian fluids Mathematical models. Viscoelasticity Mathematical models. Fluides non newtoniens Modèles mathématiques. Viscoélasticité Modèles mathématiques. SCIENCE Mechanics Fluids. bisacsh Non-Newtonian fluids Mathematical models fast Viscoelasticity Mathematical models fast |
| title | Computational rheology / |
| title_auth | Computational rheology / |
| title_exact_search | Computational rheology / |
| title_full | Computational rheology / R.G. Owens, T.N. Phillips. |
| title_fullStr | Computational rheology / R.G. Owens, T.N. Phillips. |
| title_full_unstemmed | Computational rheology / R.G. Owens, T.N. Phillips. |
| title_short | Computational rheology / |
| title_sort | computational rheology |
| topic | Non-Newtonian fluids Mathematical models. Viscoelasticity Mathematical models. Fluides non newtoniens Modèles mathématiques. Viscoélasticité Modèles mathématiques. SCIENCE Mechanics Fluids. bisacsh Non-Newtonian fluids Mathematical models fast Viscoelasticity Mathematical models fast |
| topic_facet | Non-Newtonian fluids Mathematical models. Viscoelasticity Mathematical models. Fluides non newtoniens Modèles mathématiques. Viscoélasticité Modèles mathématiques. SCIENCE Mechanics Fluids. Non-Newtonian fluids Mathematical models Viscoelasticity Mathematical models |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521315 |
| work_keys_str_mv | AT owensrg computationalrheology AT phillipstimothyn computationalrheology |