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Description
  • Článek přispívá k řešení 3D problémů optimálního proudění v kontextu laminárního nestlačitelného proudění Newtonovské tekutiny v pevných potrubích. Stabilizace konečně-prvkového řešení je nutná v případě proudění o nízké viskozitě (vzduch). Jsou ukázány analytické citlivostní vzorce platné pro členy přidané z důvodů stabilizace diskretizovaných Navier-Stokesových rovnic, neboť přesnost citlivostní analýzy má klíčový vliv na efektivnost algoritmu tvarové optimalizace. Ukazujeme také předběžné numerické příklady, kde jsou aplikovány naše teoretické výsledky v rámci optimalizační metody největšího spádu. (cs)
  • The paper contributes to solving optimal flow 3D problems in the context of laminar incompressible flows of Newtonian fluid in rigid ducts. A stabilization of the finite element solution is required in case of problems of low viscosity (air) flows. Analytical sensitivity formulae for extra terms originating from the stabilization of the finite element discretized Navier-Stokes equations are presented, since the analysis of flow sensitivity to shape changes of a fluid domain has a crucial influence on efficiency of a shape optimization algorithm. Preliminary numerical examples are shown, employing our theoretical results within a steepest descent optimization algorithm.
  • The paper contributes to solving optimal flow 3D problems in the context of laminar incompressible flows of Newtonian fluid in rigid ducts. A stabilization of the finite element solution is required in case of problems of low viscosity (air) flows. Analytical sensitivity formulae for extra terms originating from the stabilization of the finite element discretized Navier-Stokes equations are presented, since the analysis of flow sensitivity to shape changes of a fluid domain has a crucial influence on efficiency of a shape optimization algorithm. Preliminary numerical examples are shown, employing our theoretical results within a steepest descent optimization algorithm. (en)
Title
  • Shape sensitivity analysis for stabilized navier-stokes equations
  • Tvarová citlivostní analýza pro stabilizované Navier-Stokesovy (cs)
  • Shape sensitivity analysis for stabilized navier-stokes equations (en)
skos:prefLabel
  • Shape sensitivity analysis for stabilized navier-stokes equations
  • Tvarová citlivostní analýza pro stabilizované Navier-Stokesovy (cs)
  • Shape sensitivity analysis for stabilized navier-stokes equations (en)
skos:notation
  • RIV/49777513:23640/08:00500348!RIV09-MSM-23640___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M06031)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 394609
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23640/08:00500348
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • shape optimization; sensitivity analysis; incompressible flow; Navier-Stokes equations (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [46B7D2D13FCF]
http://linked.open...v/mistoKonaniAkce
  • Svratka
http://linked.open...i/riv/mistoVydani
  • Prague
http://linked.open...i/riv/nazevZdroje
  • Engineering Mechanics 2008
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Rohan, Eduard
  • Cimrman, Robert
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • Ústav termomechaniky AV ČR
https://schema.org/isbn
  • 978-80-87012-11-6
http://localhost/t...ganizacniJednotka
  • 23640
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