National Repository of Grey Literature 6 records found  Search took 0.01 seconds. 
Interaction of flow and an elastic body
Kosík, Adam
In the submitted work we are concerned with the numerical simulation of fluid flow and elastic body interaction. This is a coupled problem of the equations of two kinds, equations describing the flow and equations describing dynamical behaviour of the elas- tic body, which is partly surrounded by the fluid. These systems are coupled by suitable transmission conditions. The fluid flow is described by the Navier-Stokes equations, which are reformulated by the ALE method because of the deformation of the computational domain caused by the body movement. The deformation of the elastic body is described by the linear elasticity system with the generalized Hooke's law. We solve the problem by the finite element method. The developed methods are tested on the physical model of human vocal folds. 1
Fluid-structure interaction
Kosík, Adam ; Feistauer, Miloslav (advisor) ; Richter, Thomas (referee) ; Fürst, Jiří (referee)
In this thesis we are concerned with the numerical simulation of the in- teraction of compressible viscous flow and an elastic structure in 2D. For the elastic deformation we use a 2D linear model and nonlinear St. Venant- Kirchhoff and neo-Hookean models. The flow is described by the compressible Navier-Stokes equations written in the arbitrary Lagrangian-Eulerian (ALE) form in order to take into account the time-dependence of the flow domain. The discretization of both the flow problem and the elasticity problem is re- alized by the discontinuous Galerkin finite element method (DGM). We focus on testing the DGM applied to the solution of the flow and elasticity prob- lems. Furthermore, we discuss the coupling algorithm and the technique, how to deal with the deformation of the computational domain for the fluid flow problem. Our work is motivated by the biomedical applications. Numerical experiments include numerical simulation of vibrations of human vocal folds induced by the compressible viscous flow.
Interaction of flow and an elastic body
Kosík, Adam
In the submitted work we are concerned with the numerical simulation of fluid flow and elastic body interaction. This is a coupled problem of the equations of two kinds, equations describing the flow and equations describing dynamical behaviour of the elas- tic body, which is partly surrounded by the fluid. These systems are coupled by suitable transmission conditions. The fluid flow is described by the Navier-Stokes equations, which are reformulated by the ALE method because of the deformation of the computational domain caused by the body movement. The deformation of the elastic body is described by the linear elasticity system with the generalized Hooke's law. We solve the problem by the finite element method. The developed methods are tested on the physical model of human vocal folds. 1
Interaction of flow and an elastic body
Kosík, Adam ; Feistauer, Miloslav (advisor) ; Knobloch, Petr (referee)
In the submitted work we are concerned with the numerical simulation of fluid flow and elastic body interaction. This is a coupled problem of the equations of two kinds, equations describing the flow and equations describing dynamical behaviour of the elastic body, which is partly surrounded by the fluid. These systems are coupled by suitable transmission conditions. The fluid flow is described by the Navier-Stokes equations, which are reformulated by the ALE method because of the deformation of the computational domain caused by the body movement. The deformation of the elastic body is described by the linear elasticity system with the generalized Hooke's law. We solve the problem by the finite element method. The developed methods are tested on the physical model of human vocal folds.
Comparison of time semi-discretization approaches for DGM solution of linear elasticity problem
Kosík, Adam ; Feistauer, M. ; Hadrava, Martin
The goal of the paper is to compare the application of the space-time discontinuous Galerkin method (STDGM) to other time discretization schemes on several simple model problems. We present a comparison of the numerical methods on the backwards Euler formula, the second order backward-difference formula and the Newmark scheme.

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1 Kosík, A.
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