Generalized Riemann problems in computational fluid dynamics:
Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The General...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
11 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The Generalized Riemann Problem (GRP) algorithm, developed by the authors for this purpose, provides a unifying 'shell' which comprises some of the most commonly used numerical schemes of this process. This 2003 monograph gives a systematic presentation of the GRP methodology, starting from the underlying mathematical principles, through basic scheme analysis and scheme extensions (such as reacting flow or two-dimensional flows involving moving or stationary boundaries). An array of instructive examples illustrates the range of applications, extending from (simple) scalar equations to computational fluid dynamics. Background material from mathematical analysis and fluid dynamics is provided, making the book accessible to both researchers and graduate students of applied mathematics, science and engineering |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvi, 349 pages) |
| ISBN: | 9780511546785 |
| DOI: | 10.1017/CBO9780511546785 |
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| 505 | 8 | |a 1. Introduction -- I. Basic theory -- 2. Scalar conservation laws -- 3. The GRP method for scalar conservation laws -- 4. Systems of conservation laws -- 5. The Generalized Reimann Problem (GRP) for compressible fluid dynamics -- 6. Analytical and numerical treatment of fluid dynamical problems -- II. Numerical implementation -- 7. From the GRP algorithm to scientific computing -- 8. Geometric extensions -- 9. A physical extension: reacting flow -- 10. Wave interaction in a duct- a comparative study -- A. Entropy conditionsfor scalar conservation laws -- B. Convergence of godunov scheme -- C. Reimann solver for a y-law gas -- D. The MUSCL scheme | |
| 520 | |a Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The Generalized Riemann Problem (GRP) algorithm, developed by the authors for this purpose, provides a unifying 'shell' which comprises some of the most commonly used numerical schemes of this process. This 2003 monograph gives a systematic presentation of the GRP methodology, starting from the underlying mathematical principles, through basic scheme analysis and scheme extensions (such as reacting flow or two-dimensional flows involving moving or stationary boundaries). An array of instructive examples illustrates the range of applications, extending from (simple) scalar equations to computational fluid dynamics. Background material from mathematical analysis and fluid dynamics is provided, making the book accessible to both researchers and graduate students of applied mathematics, science and engineering | ||
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Datensatz im Suchindex
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| author | Ben-Artzi, Matania 1948- |
| author_facet | Ben-Artzi, Matania 1948- |
| author_role | aut |
| author_sort | Ben-Artzi, Matania 1948- |
| author_variant | m b a mba |
| building | Verbundindex |
| bvnumber | BV043941879 |
| classification_rvk | SK 920 |
| collection | ZDB-20-CBO |
| contents | 1. Introduction -- I. Basic theory -- 2. Scalar conservation laws -- 3. The GRP method for scalar conservation laws -- 4. Systems of conservation laws -- 5. The Generalized Reimann Problem (GRP) for compressible fluid dynamics -- 6. Analytical and numerical treatment of fluid dynamical problems -- II. Numerical implementation -- 7. From the GRP algorithm to scientific computing -- 8. Geometric extensions -- 9. A physical extension: reacting flow -- 10. Wave interaction in a duct- a comparative study -- A. Entropy conditionsfor scalar conservation laws -- B. Convergence of godunov scheme -- C. Reimann solver for a y-law gas -- D. The MUSCL scheme |
| ctrlnum | (ZDB-20-CBO)CR9780511546785 (OCoLC)850267668 (DE-599)BVBBV043941879 |
| dewey-full | 532/.05 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.05 |
| dewey-search | 532/.05 |
| dewey-sort | 3532 15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511546785 |
| format | Electronic eBook |
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| id | DE-604.BV043941879 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511546785 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350849 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 349 pages) |
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| publishDate | 2003 |
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| publisher | Cambridge University Press |
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| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Ben-Artzi, Matania 1948- Verfasser aut Generalized Riemann problems in computational fluid dynamics Matania Ben-Artzi and Joseph Falcovitz Cambridge Cambridge University Press 2003 1 online resource (xvi, 349 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on applied and computational mathematics 11 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Introduction -- I. Basic theory -- 2. Scalar conservation laws -- 3. The GRP method for scalar conservation laws -- 4. Systems of conservation laws -- 5. The Generalized Reimann Problem (GRP) for compressible fluid dynamics -- 6. Analytical and numerical treatment of fluid dynamical problems -- II. Numerical implementation -- 7. From the GRP algorithm to scientific computing -- 8. Geometric extensions -- 9. A physical extension: reacting flow -- 10. Wave interaction in a duct- a comparative study -- A. Entropy conditionsfor scalar conservation laws -- B. Convergence of godunov scheme -- C. Reimann solver for a y-law gas -- D. The MUSCL scheme Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The Generalized Riemann Problem (GRP) algorithm, developed by the authors for this purpose, provides a unifying 'shell' which comprises some of the most commonly used numerical schemes of this process. This 2003 monograph gives a systematic presentation of the GRP methodology, starting from the underlying mathematical principles, through basic scheme analysis and scheme extensions (such as reacting flow or two-dimensional flows involving moving or stationary boundaries). An array of instructive examples illustrates the range of applications, extending from (simple) scalar equations to computational fluid dynamics. Background material from mathematical analysis and fluid dynamics is provided, making the book accessible to both researchers and graduate students of applied mathematics, science and engineering Fluid dynamics Riemann-Hilbert problems Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Riemannsches Problem (DE-588)4243352-6 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 s Riemannsches Problem (DE-588)4243352-6 s 1\p DE-604 Strömungsmechanik (DE-588)4077970-1 s DE-604 Falcovitz, Joseph 1937- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-17327-8 Erscheint auch als Druckausgabe 978-0-521-77296-9 https://doi.org/10.1017/CBO9780511546785 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ben-Artzi, Matania 1948- Generalized Riemann problems in computational fluid dynamics 1. Introduction -- I. Basic theory -- 2. Scalar conservation laws -- 3. The GRP method for scalar conservation laws -- 4. Systems of conservation laws -- 5. The Generalized Reimann Problem (GRP) for compressible fluid dynamics -- 6. Analytical and numerical treatment of fluid dynamical problems -- II. Numerical implementation -- 7. From the GRP algorithm to scientific computing -- 8. Geometric extensions -- 9. A physical extension: reacting flow -- 10. Wave interaction in a duct- a comparative study -- A. Entropy conditionsfor scalar conservation laws -- B. Convergence of godunov scheme -- C. Reimann solver for a y-law gas -- D. The MUSCL scheme Fluid dynamics Riemann-Hilbert problems Numerische Strömungssimulation (DE-588)4690080-9 gnd Riemannsches Problem (DE-588)4243352-6 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4690080-9 (DE-588)4243352-6 (DE-588)4077970-1 |
| title | Generalized Riemann problems in computational fluid dynamics |
| title_auth | Generalized Riemann problems in computational fluid dynamics |
| title_exact_search | Generalized Riemann problems in computational fluid dynamics |
| title_full | Generalized Riemann problems in computational fluid dynamics Matania Ben-Artzi and Joseph Falcovitz |
| title_fullStr | Generalized Riemann problems in computational fluid dynamics Matania Ben-Artzi and Joseph Falcovitz |
| title_full_unstemmed | Generalized Riemann problems in computational fluid dynamics Matania Ben-Artzi and Joseph Falcovitz |
| title_short | Generalized Riemann problems in computational fluid dynamics |
| title_sort | generalized riemann problems in computational fluid dynamics |
| topic | Fluid dynamics Riemann-Hilbert problems Numerische Strömungssimulation (DE-588)4690080-9 gnd Riemannsches Problem (DE-588)4243352-6 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Fluid dynamics Riemann-Hilbert problems Numerische Strömungssimulation Riemannsches Problem Strömungsmechanik |
| url | https://doi.org/10.1017/CBO9780511546785 |
| work_keys_str_mv | AT benartzimatania generalizedriemannproblemsincomputationalfluiddynamics AT falcovitzjoseph generalizedriemannproblemsincomputationalfluiddynamics |