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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
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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.
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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
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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.
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Dynamic Datalog
Janušek, Martin ; Vojtáš, Peter (referee) ; Kosík, Antonín (advisor)
In this study we examine possibilities of integration extensional updates into Datalog. Our research involves also possibility of query evaluation optimization by making intensional rules explicit (materialization). As a result od our approach we present new query language D-Datalog. Our proposal extends Datalog database by set of constraints and set of intensional facts (materialization of intensional database). We introduce possibility of extensional and intensional updates. By intensional updates we mean updates of set of intensional facts so user can directly state, which consequences of intensional clauses should be in materialization. Updates are not executed as soon as they are evaluated. Instead, they are collected and then applied to the database when the query evaluation is completed (non-immediate update semantics). This approach is similar to semantics of relational databases. Prototype implementation of D-Datalog in Java is part of our solution.
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