7 research outputs found
Numerical simulation of airfoil vibrations induced by turbulent flow
AbstractThe subject of this paper is the numerical simulation of the interaction between two-dimensional incompressible viscous flow and a vibrating airfoil. A solid elastically supported airfoil with two degrees of freedom, which can rotate around the elastic axis and oscillate in the vertical direction, is considered. The numerical simulation consists of the stabilized finite element solution of the Reynolds averaged Navier–Stokes equations with algebraic models of turbulence, coupled with the system of ordinary differential equations describing the airfoil motion. Since the computational domain is time dependent and the grid is moving, the Arbitrary Lagrangian–Eulerian (ALE) method is used. The developed method was applied to the simulation of flow-induced airfoil vibrations
Numerical simulation of interaction of fluids and solid bodies
The subject of this thesis is modelling and numerical simulation of the interaction of two-dimensional incompressible viscous flow and a vibrating airfoil. A solid airfoil with two degrees of freedom, which can rotate around the elastic axis and oscillate in the vertical direction, is considered. The numerical simulation consists of the finite element solution of the Navier-Stokes equations coupled with the system of ordinary differential equations describing the airfoil motion. The time dependent computational domain and a moving grid are taken into account with the aid of the Arbitrary Lagrangian-Eulerian (ALE) formulation of the Navier-Stokes equations. High Reynolds numbers up to 106 require the application of a suitable stabilization of the finite element discretization and application of a turbulent model. We apply the algebraic turbulent models, which were designed by Baldwin and Lomax and by Rostand. As a result a sufficiently accurate and robust method is developed, which was tested by the simulation of flow along a flat plate and applied to the computation of pressure distribution along the airfoil with forced vibrations
HP-FEM for Coupled Problems in Fluid Dynamics
of dissertation hp-FEM FOR COUPLED PROBLEMS IN FLUID DYNAMICS Lenka Dubcová The thesis is concerned with the solution of multiphysics problems de- scribed by partial differential equations using higher-order finite element method (hp-FEM). Basics of hp-FEM are described, together with some practical details and challenges. The hp-adaptive strategy, based on the reference solution and meshes with arbitrary level hanging nodes, is dis- cussed. The thesis is mainly concerned with the extension of this strategy to monolithical solution of coupled multiphysics problems, where each physical field exhibits different qualitative behavior. In such problems, each physical field is discretized on an individual mesh automatically obtained by the adaptive algorithm to suit the best the corresponding so- lution component. Moreover, the meshes can change in time, following the needs of the solution components. All described methods and tech- nologies are demonstrated on several examples throughout the thesis, where comparisons with traditionally used approaches are shown
Numerická simulace interakce tekutin a tuhých těles
of dissertation hp-FEM FOR COUPLED PROBLEMS IN FLUID DYNAMICS Lenka Dubcová The thesis is concerned with the solution of multiphysics problems de- scribed by partial differential equations using higher-order finite element method (hp-FEM). Basics of hp-FEM are described, together with some practical details and challenges. The hp-adaptive strategy, based on the reference solution and meshes with arbitrary level hanging nodes, is dis- cussed. The thesis is mainly concerned with the extension of this strategy to monolithical solution of coupled multiphysics problems, where each physical field exhibits different qualitative behavior. In such problems, each physical field is discretized on an individual mesh automatically obtained by the adaptive algorithm to suit the best the corresponding so- lution component. Moreover, the meshes can change in time, following the needs of the solution components. All described methods and tech- nologies are demonstrated on several examples throughout the thesis, where comparisons with traditionally used approaches are shown.disertaÄŤnĂ práce hp-FEM PRO SDRUĹ˝ENÉ PROBLÉMY V MECHANICE TEKUTIN Lenka Dubcová DisertaÄŤnĂ práce se zabĂ˝vá Ĺ™ešenĂm multifyzikálnĂch problemĹŻ pop- sanĂ˝ch parciálnĂmi diferenciálnĂmi rovnicemi metodou koneÄŤnĂ˝ch prvkĹŻ vyššĂch řádĹŻ (hp-FEM). Základy tĂ©to metody jsou popsány spoleÄŤnÄ› s praktickĂ˝mi detaily a problĂ©my. Dále je popsána nová hp-adaptivnĂ strate- gie zaloĹľená na tzv. referenÄŤnĂm Ĺ™ešenĂ a sĂtĂch s libovolnĂ˝m stupnÄ›m visĂcĂch uzlĹŻ. Práce se pĹ™edevšĂm zabĂ˝vá rozšĂĹ™enĂm tĂ©to metody pro monolitickĂ© Ĺ™ešenĂ multifyzikálnĂch problĂ©mĹŻ, kde kaĹľdá fyzikálnĂ sloĹľka vykazuje jinĂ© kvalitativnĂ chovánĂ a je tedy diskretizována na vlastnĂ adap- tivnÄ› zĂskanĂ© sĂti vyhovujĂcĂ chovánĂ pĹ™ĂslušnĂ© sloĹľky Ĺ™ešenĂ. Tyto sĂtÄ› se navĂc mohou mÄ›nit v ÄŤase podle potĹ™eb jednotlivĂ˝ch sloĹľek Ĺ™ešenĂ. Všechny popsanĂ© metody jsou v práci demonstrovány na nÄ›kolika pĹ™Ăk- ladech spoleÄŤnÄ› se srovnánĂm s tradiÄŤnÄ› pouĹľĂvanĂ˝mi metodami.Department of Numerical MathematicsKatedra numerickĂ© matematikyFaculty of Mathematics and PhysicsMatematicko-fyzikálnĂ fakult
HP-FEM pro sdužené peoblémy v mechanice tekutin
The thesis is concerned with the solution of multiphysics problems described by partial differential equations using higher-order finite element method (hp-FEM). Basics of hp-FEM are described, together with some practical details and challenges. The hp-adaptive strategy, based on the reference solution and meshes with arbitrary level hanging nodes, is discussed. The thesis is mainly concerned with the extension of this strategy to monolithical solution of coupled multiphysics problems, where each physical field exhibits different qualitative behavior. In such problems, each physical field is discretized on an individual mesh automatically obtained by the adaptive algorithm to suit the best the corresponding solution component. Moreover, the meshes can change in time, following the needs of the solution components. All described methods and technologies are demonstrated on several examples throughout the thesis, where comparisons with traditionally used approaches are shown.DisertaÄŤnĂ práce se zabĂ˝vá Ĺ™ešenĂm multifyzikálnĂch problĂ©mĹŻ popsanĂ˝ch parciálnĂmi diferenciálnĂmi rovnicemi metodou koneÄŤnĂ˝ch prvkĹŻ vyššĂch řádĹŻ (hp-FEM). Základy tĂ©to metody jsou popsány spoleÄŤnÄ› s praktickĂ˝mi detaily a problĂ©my. Dále je popsána nová hp-adaptivnĂ strategie zaloĹľená na tzv. referenÄŤnĂm Ĺ™ešenĂ a stĂtĂch s libovolnĂ˝m stupnÄ›m visĂcĂch uzlĹŻ. Práce se pĹ™edevšĂm zabĂ˝vá rozšĂĹ™enĂm tĂ©to metody pro monolitickĂ© Ĺ™ešenĂ multifyzikálnĂch problĂ©mĹŻ, kde kaĹľdá fyzikálnĂ sloĹľka vykazuje jinĂ© kvalitativnĂ chovánĂ a je tedy diskretizována na vlastnĂ adaptivnÄ› zĂskanĂ© sĂti vyhovujĂcĂ chovánĂ pĹ™ĂstušnĂ© sloĹľky Ĺ™ešenĂ. Tyto sĂtÄ› se navĂc mohou mÄ›nit v ÄŤase podle potĹ™eb jednotlivĂ˝ch sloĹľek Ĺ™ešenĂ. Všechny popsanĂ© metody jsou v práci demonstrovány na nÄ›kolika pĹ™Ăkladech spoleÄŤnÄ› se srovnánĂm s tradiÄŤnÄ› pouĹľĂvanĂ˝mi metodami.Katedra numerickĂ© matematikyDepartment of Numerical MathematicsFaculty of Mathematics and PhysicsMatematicko-fyzikálnĂ fakult