An asymptotic solution for the singularity at the angular point of the lid driven cavity:
Abstract: "In this paper we analyse the behaviour of the solution of Navier-Stokes' equations near the corner of the driven cavity, where the moving band touches the wall. At this point the solution is singular. Because the singularity does not depend on the Reynold's number, it is su...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
München
1992
|
| Series: | Technische Universität <München>: TUM-I
9235 |
| Subjects: | |
| Summary: | Abstract: "In this paper we analyse the behaviour of the solution of Navier-Stokes' equations near the corner of the driven cavity, where the moving band touches the wall. At this point the solution is singular. Because the singularity does not depend on the Reynold's number, it is sufficient to study the problem in the case of infinite viscosity which is governed by Stokes' equations. We present an analytical asymptotic solution near the corner. Furthermore numerical results are given, which were gained with an efficient multigrid algorithm. We will see that for decreasing meshsize of the used grid the numerical solution converges to the derived analytical solution near the corner." |
| Physical Description: | 7 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV009225217 | ||
| 003 | DE-604 | ||
| 005 | 20040414 | ||
| 007 | t | ||
| 008 | 940313s1992 |||| 00||| eng d | ||
| 035 | |a (OCoLC)28491292 | ||
| 035 | |a (DE-599)BVBBV009225217 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-29T | ||
| 100 | 1 | |a Störtkuhl, T. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An asymptotic solution for the singularity at the angular point of the lid driven cavity |c T. Störtkuhl, Chr. Zenger, S. Zimmer |
| 264 | 1 | |a München |c 1992 | |
| 300 | |a 7 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Technische Universität <München>: TUM-I |v 9235 | |
| 490 | 1 | |a Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht / A |v 1992,24 | |
| 520 | 3 | |a Abstract: "In this paper we analyse the behaviour of the solution of Navier-Stokes' equations near the corner of the driven cavity, where the moving band touches the wall. At this point the solution is singular. Because the singularity does not depend on the Reynold's number, it is sufficient to study the problem in the case of infinite viscosity which is governed by Stokes' equations. We present an analytical asymptotic solution near the corner. Furthermore numerical results are given, which were gained with an efficient multigrid algorithm. We will see that for decreasing meshsize of the used grid the numerical solution converges to the derived analytical solution near the corner." | |
| 650 | 4 | |a Navier-Stokes equations | |
| 700 | 1 | |a Zenger, C. |e Verfasser |4 aut | |
| 700 | 1 | |a Zimmer, S. |e Verfasser |4 aut | |
| 810 | 2 | |a A |t Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht |v 1992,24 |w (DE-604)BV004627888 |9 1992,24 | |
| 830 | 0 | |a Technische Universität <München>: TUM-I |v 9235 |w (DE-604)BV006185376 |9 9235 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006134319 | ||
Record in the Search Index
| _version_ | 1804123668360462336 |
|---|---|
| any_adam_object | |
| author | Störtkuhl, T. Zenger, C. Zimmer, S. |
| author_facet | Störtkuhl, T. Zenger, C. Zimmer, S. |
| author_role | aut aut aut |
| author_sort | Störtkuhl, T. |
| author_variant | t s ts c z cz s z sz |
| building | Verbundindex |
| bvnumber | BV009225217 |
| ctrlnum | (OCoLC)28491292 (DE-599)BVBBV009225217 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02016nam a2200337 cb4500</leader><controlfield tag="001">BV009225217</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20040414 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940313s1992 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)28491292</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009225217</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Störtkuhl, T.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An asymptotic solution for the singularity at the angular point of the lid driven cavity</subfield><subfield code="c">T. Störtkuhl, Chr. Zenger, S. Zimmer</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">München</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">7 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Technische Universität <München>: TUM-I</subfield><subfield code="v">9235</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht / A</subfield><subfield code="v">1992,24</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Abstract: "In this paper we analyse the behaviour of the solution of Navier-Stokes' equations near the corner of the driven cavity, where the moving band touches the wall. At this point the solution is singular. Because the singularity does not depend on the Reynold's number, it is sufficient to study the problem in the case of infinite viscosity which is governed by Stokes' equations. We present an analytical asymptotic solution near the corner. Furthermore numerical results are given, which were gained with an efficient multigrid algorithm. We will see that for decreasing meshsize of the used grid the numerical solution converges to the derived analytical solution near the corner."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Navier-Stokes equations</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zenger, C.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zimmer, S.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">A</subfield><subfield code="t">Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht</subfield><subfield code="v">1992,24</subfield><subfield code="w">(DE-604)BV004627888</subfield><subfield code="9">1992,24</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Technische Universität <München>: TUM-I</subfield><subfield code="v">9235</subfield><subfield code="w">(DE-604)BV006185376</subfield><subfield code="9">9235</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006134319</subfield></datafield></record></collection> |
| id | DE-604.BV009225217 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:33:26Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006134319 |
| oclc_num | 28491292 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-29T |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-29T |
| physical | 7 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| record_format | marc |
| series | Technische Universität <München>: TUM-I |
| series2 | Technische Universität <München>: TUM-I Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht / A |
| spelling | Störtkuhl, T. Verfasser aut An asymptotic solution for the singularity at the angular point of the lid driven cavity T. Störtkuhl, Chr. Zenger, S. Zimmer München 1992 7 S. txt rdacontent n rdamedia nc rdacarrier Technische Universität <München>: TUM-I 9235 Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht / A 1992,24 Abstract: "In this paper we analyse the behaviour of the solution of Navier-Stokes' equations near the corner of the driven cavity, where the moving band touches the wall. At this point the solution is singular. Because the singularity does not depend on the Reynold's number, it is sufficient to study the problem in the case of infinite viscosity which is governed by Stokes' equations. We present an analytical asymptotic solution near the corner. Furthermore numerical results are given, which were gained with an efficient multigrid algorithm. We will see that for decreasing meshsize of the used grid the numerical solution converges to the derived analytical solution near the corner." Navier-Stokes equations Zenger, C. Verfasser aut Zimmer, S. Verfasser aut A Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht 1992,24 (DE-604)BV004627888 1992,24 Technische Universität <München>: TUM-I 9235 (DE-604)BV006185376 9235 |
| spellingShingle | Störtkuhl, T. Zenger, C. Zimmer, S. An asymptotic solution for the singularity at the angular point of the lid driven cavity Technische Universität <München>: TUM-I Navier-Stokes equations |
| title | An asymptotic solution for the singularity at the angular point of the lid driven cavity |
| title_auth | An asymptotic solution for the singularity at the angular point of the lid driven cavity |
| title_exact_search | An asymptotic solution for the singularity at the angular point of the lid driven cavity |
| title_full | An asymptotic solution for the singularity at the angular point of the lid driven cavity T. Störtkuhl, Chr. Zenger, S. Zimmer |
| title_fullStr | An asymptotic solution for the singularity at the angular point of the lid driven cavity T. Störtkuhl, Chr. Zenger, S. Zimmer |
| title_full_unstemmed | An asymptotic solution for the singularity at the angular point of the lid driven cavity T. Störtkuhl, Chr. Zenger, S. Zimmer |
| title_short | An asymptotic solution for the singularity at the angular point of the lid driven cavity |
| title_sort | an asymptotic solution for the singularity at the angular point of the lid driven cavity |
| topic | Navier-Stokes equations |
| topic_facet | Navier-Stokes equations |
| volume_link | (DE-604)BV004627888 (DE-604)BV006185376 |
| work_keys_str_mv | AT stortkuhlt anasymptoticsolutionforthesingularityattheangularpointoftheliddrivencavity AT zengerc anasymptoticsolutionforthesingularityattheangularpointoftheliddrivencavity AT zimmers anasymptoticsolutionforthesingularityattheangularpointoftheliddrivencavity |