Extended Stokes' problems for relatively moving porous half-planes.
Liu, Chi-Min (2009)
Mathematical Problems in Engineering
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Liu, Chi-Min (2009)
Mathematical Problems in Engineering
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Louda, Petr, Kozel, Karel, Příhoda, Jaromír
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In this work, artificial compressibility method is used to solve steady and unsteady flows of viscous incompressible fluid. The method is based on implicit higher order upwind discretization of Navier-Stokes equations. The extension for unsteady simulation is considered by increasing artificial compressibility parameter or by using dual time stepping. The methods are tested on laminar flow around circular cylinder and used to simulate turbulent unsteady flows by URANS approach. The simulated...
Labropulu, F., Husain, I., Chinichian, M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Valášek, Jan, Sváček, Petr, Horáček, Jaromír
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In this paper the fluid-structure interaction problem is studied on a simplified model of the human vocal fold. The problem is mathematically described and the arbitrary Lagrangian-Eulerian method is applied in order to treat the time dependent computational domain. The viscous incompressible fluid flow and linear elasticity models are considered. The fluid flow and the motion of elastic body is approximated with the aid of finite element method. An attention is paid to the applied stabilization...
Erdoğan, M.Emin, Ịmrak, C.Erdem (2007)
Mathematical Problems in Engineering
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Christiaan Le Roux, Kumbakonam R. Rajagopal (2013)
Applications of Mathematics
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We consider the flow of a class of incompressible fluids which are constitutively defined by the symmetric part of the velocity gradient being a function, which can be non-monotone, of the deviator of the stress tensor. These models are generalizations of the stress power-law models introduced and studied by J. Málek, V. Průša, K. R. Rajagopal: Generalizations of the Navier-Stokes fluid from a new perspective. Int. J. Eng. Sci. 48 (2010), 1907–1924. We discuss a potential application...
Rosar, M. E., Peskin, Charles S. (2001)
The New York Journal of Mathematics [electronic only]
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Jürgen Socolowsky (2008)
Banach Center Publications
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Viscous two-fluid flows arise in different kinds of coating technologies. Frequently, the corresponding mathematical models represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In this review article we present some results about nonisothermal stationary as well as about isothermal evolutionary viscous flow problems. The temperature-depending problems are characterized by coupled heat- and mass transfer and also by thermocapillary...
Bastl, Bohumír, Brandner, Marek, Egermaier, Jiří, Michálková, Kristýna, Turnerová, Eva
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The article is devoted to the simulation of viscous incompressible fluid flow based on solving the Navier-Stokes equations. As a numerical model we chose isogeometrical approach. Primary goal of using isogemetric analysis is to be always geometrically exact, independently of the discretization, and to avoid a time-consuming generation of meshes of computational domains. For higher Reynolds numbers, we use stabilization techniques SUPG and PSPG. All methods mentioned in the paper are...