About: Finite Element Method for Navier - Stokes Equations in Some Problems of Incompressible Flows     Goto   Sponge   NotDistinct   Permalink

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  • We deal with 2D flows of incompressible viscous fluids modelled by the Navier-Stokes equations. Numerical solution is based on the finite element method (FEM). We focus on reliable modelling of flows in channels or tubes with abrupt changes of the diameter. We present two techniques: one is based on a posteriori error estimates and adaptivity; second makes use of the a priori error estimates and asymptotic behaviour of the solution near the corners. Another problem is the flow with higher Reynolds number. For these flows we use stabilized version of the FEM that we call semi-GLS technique.
  • We deal with 2D flows of incompressible viscous fluids modelled by the Navier-Stokes equations. Numerical solution is based on the finite element method (FEM). We focus on reliable modelling of flows in channels or tubes with abrupt changes of the diameter. We present two techniques: one is based on a posteriori error estimates and adaptivity; second makes use of the a priori error estimates and asymptotic behaviour of the solution near the corners. Another problem is the flow with higher Reynolds number. For these flows we use stabilized version of the FEM that we call semi-GLS technique. (en)
  • Zabýváme se 2D prouděním nestlačitelných tekutin modelovaném Navierovými - Stokesovými rovnicemi. Numerické řešení je založeno na metodě konečných prvků (MKP). Zaměřujeme se na spolehlivé modelování proudění v kanále a trubici s náhlou změnou průřezu. Uvádíme dva přístupy: jeden je založen na aposteriorních odhadech a adaptivitě; druhý využívá apriorních odhadů a asymptotického chování řešení v blízkosti rohu. Dalším problémem je proudění při vyšších hodnotách Reynoldsova čísla. Zde užíváme stabilizovanou verzi MKP, kterou nazýváme semi-GLS metoda. (cs)
Title
  • Finite Element Method for Navier - Stokes Equations in Some Problems of Incompressible Flows
  • Finite Element Method for Navier - Stokes Equations in Some Problems of Incompressible Flows (en)
  • Metoda konečných prvků pro Navierovy - Stokesovy rovnice v některých úlohách pro nestlačitelné tekutiny (cs)
skos:prefLabel
  • Finite Element Method for Navier - Stokes Equations in Some Problems of Incompressible Flows
  • Finite Element Method for Navier - Stokes Equations in Some Problems of Incompressible Flows (en)
  • Metoda konečných prvků pro Navierovy - Stokesovy rovnice v některých úlohách pro nestlačitelné tekutiny (cs)
skos:notation
  • RIV/68407700:21220/07:02132853!RIV08-GA0-21220___
http://linked.open.../vavai/riv/strany
  • 21;28
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  • P(GA106/05/2731), Z(AV0Z20760514), Z(MSM6840770010)
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  • 422056
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  • RIV/68407700:21220/07:02132853
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  • corner singularities; finite element method; incompressible fluid; semi-GLS; stabilization (en)
http://linked.open.../riv/klicoveSlovo
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  • [7989AC1DAC18]
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  • Liberec
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  • Liberec
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  • ICPM '07 Proceedings
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  • Novotný, Jaroslav
  • Šístek, Jakub
  • Burda, Pavel
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number of pages
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  • Technická univerzita
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  • 978-80-7372-252-4
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  • 21220
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