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  • Tento článek se zabývá vzájemnou dvourozměrnou interakcí vazkého nestlačitelného proudění a leteckého profilu. Pro zjednodušení uvažujeme nosník pouze jako elasticky uchycené pevné těleso. Matematicky je tento problém popsán systémem Navierových-Stokesových rovnic zapsaných v Arbitrary Lagrangian-Eulerian (ALE) formulaci a systémem obyčejných diferenciálních rovnic, které popisují pohyb nosníku. Navier-Stokesovy rovnice v ALE formulaci jsou numericky řešeny pomocí metody konečných prvků (MKP). Nicméně standardní Galerkinova aplikace MKP vede k nefyzikálním řešením, pokud použitá síť není dostatečně zjemněna v oblastech velkých gradientů řešení (např. mezni vrstva). Aby bylo možné získat fyzikálně přípustná řešení je nutné použít vhodné zjemnění sítě v kombinaci s vhodnou stabilizací metody, což vede k stabilnímu a přesnému schématu. Tento článek ukazuje použití SUPG stabilizace. Získané výsledky jsou srovnány s aerodynamickými i aeroelastickými experimenty. (cs)
  • In this paper we are interested in the interaction of two dimensional incompressible viscous laminar flow and an airfoil. For simplicity we consider only solid airfoil which can rotate and oscillate in vertical direction. The mathematical model consists of Navier-Stokes equations written in the Arbitrary Lagrangian-Eulerian(ALE) formulation and system of ordinary differential equations describing the airfoil motion. The ALE formulation of Navier-Stokes equations is discretized by the finite element method(FEM). Nevertheless, Galerkin FEM leads to unphysical solutions if the grid is not fine enough in regions of strong gradients (e.g.boundary layer). In order to obtain physically admissible correct solutions it is neccessary to apply suitable mesh refinement combined with a stabilization technique giving stable and accurate schemes. In our paper we present SUPG stabilization method for Navier-Stokes equations. The results are compared with aerodynamical data and aeroelastic measurements
  • In this paper we are interested in the interaction of two dimensional incompressible viscous laminar flow and an airfoil. For simplicity we consider only solid airfoil which can rotate and oscillate in vertical direction. The mathematical model consists of Navier-Stokes equations written in the Arbitrary Lagrangian-Eulerian(ALE) formulation and system of ordinary differential equations describing the airfoil motion. The ALE formulation of Navier-Stokes equations is discretized by the finite element method(FEM). Nevertheless, Galerkin FEM leads to unphysical solutions if the grid is not fine enough in regions of strong gradients (e.g.boundary layer). In order to obtain physically admissible correct solutions it is neccessary to apply suitable mesh refinement combined with a stabilization technique giving stable and accurate schemes. In our paper we present SUPG stabilization method for Navier-Stokes equations. The results are compared with aerodynamical data and aeroelastic measurements (en)
Title
  • Numerical Simulation of Airoelastic Problems
  • Numerical Simulation of Airoelastic Problems (en)
  • Numerická simulace aeroelastických problémů (cs)
skos:prefLabel
  • Numerical Simulation of Airoelastic Problems
  • Numerical Simulation of Airoelastic Problems (en)
  • Numerická simulace aeroelastických problémů (cs)
skos:notation
  • RIV/68407700:21220/04:02100525!RIV/2005/GA0/212205/N
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  • P(GA101/02/0391), Z(MSM 210000003)
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  • RIV/68407700:21220/04:02100525
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  • aeroelastic problems; nonlinear aeroelasticity (en)
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  • Sváček, Petr
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  • 21220
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