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Sport and its Place in Christian Life
Šafářová, Světlana ; Kozel, Karel (advisor) ; Michalcová, Andrea (referee)
Bc thesis SPORT AND ITS PLACE IN CHRISTIAN LIFE wants to unveil a man as the whole image of the God. We have been living with the hope of salvation and we will be saved as the whole - our body, soul and spirit. Spiritual dimension of the body is based on the faith of its ressurection. The body needs the same care, attention, creativity and gratitude to the Creator as the soul and spirit do. The sport is one of the way to the care of the body. This thesis wants not only critically evaluate the place of the sport and activity of the body in Christian life but also to find its blind alleyways and risks. It also deals with the question how significant the integration of regular sport activities into the curriculum of teological faculties can be in additon to the intelectual and spiritual formation. KEY WORDS sport, physical exercise, play, Christian life, body
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Fluid-structure interaction of compressible flow
Hasnedlová, Jaroslava ; Feistauer, Miloslav (advisor) ; Křížek, Michal (referee) ; Kozel, Karel (referee) ; Rannacher, Rolf (referee)
Title: Fluid-structure interaction of compressible flow Author: RNDr. Jaroslava Hasnedlová Department: Department of Numerical Mathematics, Institute of Applied Mathematics Supervisors: Prof. RNDr. Miloslav Feistauer, DrSc., Dr. h. c., Prof. Dr. Dr. h. c. Rolf Rannacher Supervisors' e-mail addresses: feist@karlin.mff.cuni.cz, rannacher@iwr.uni-heidelberg.de Abstract: The presented work is split into two parts. The first part is devoted to the theory of the discontinuous Galerkin finite element (DGFE) method for the space-time discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and linear diffusion. The DGFE method is applied sep- arately in space and time using, in general, different space grids on different time levels and different polynomial degrees p and q in space and time discretization. The main result is the proof of error estimates in L2 (L2 )-norm and in DG-norm formed by the L2 (H1 )-seminorm and penalty terms. The second part of the thesis deals with the realization of fluid-structure interaction problem of the compressible viscous flow with the elastic structure. The time-dependence of the domain occupied by the fluid is treated by the ALE (Arbitrary Lagrangian-Eulerian) method, when the compress- ible Navier-Stokes equations are formulated in...
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Interaction of a Fluid Flow with an Elastic Body
Mádlík, Martin ; Maršík, František (advisor) ; Kozel, Karel (referee) ; Rajagopal, K.R. (referee)
The interaction problem of incompressible fluid and incompressible elastic material in the so-called Arbitrary Lagrangian-Eulerian formulation is be- ing studied in this thesis. After giving an overview of the essential principles of continuum mechanics in the moving domains, the fluid-structure interaction model is defined. Next, appropriate numerical scheme in three-dimensional space, based on finite element method, is presented and suitable numerical implementation is proposed. The properties of the presented numerical method are demonstrated on the number of numerical examples. The simplest approach, decoupling the problem into the fluid and solid parts and treating the interaction between them as an external boundary condition, is later revised by introducing the single continuum formulation. The interaction is then seen as an internal boundary, which does not require any special treatment. The proposed method allows to model the large deformations of an incom- pressible Neo-Hookean material, a flow of an incompressible power-law fluid and a mutual material interaction. The quasi-Newton method is used to solve with the original non-linear problem, while a direct solver is the tool that deals with the resulting linearized form. The numerical implementation takes advantage of parallel programming...
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Fluid-structure interaction of compressible flow
Hasnedlová, Jaroslava ; Feistauer, Miloslav (advisor) ; Křížek, Michal (referee) ; Kozel, Karel (referee) ; Rannacher, Rolf (referee)
Title: Fluid-structure interaction of compressible flow Author: RNDr. Jaroslava Hasnedlová Department: Department of Numerical Mathematics, Institute of Applied Mathematics Supervisors: Prof. RNDr. Miloslav Feistauer, DrSc., Dr. h. c., Prof. Dr. Dr. h. c. Rolf Rannacher Supervisors' e-mail addresses: feist@karlin.mff.cuni.cz, rannacher@iwr.uni-heidelberg.de Abstract: The presented work is split into two parts. The first part is devoted to the theory of the discontinuous Galerkin finite element (DGFE) method for the space-time discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and linear diffusion. The DGFE method is applied sep- arately in space and time using, in general, different space grids on different time levels and different polynomial degrees p and q in space and time discretization. The main result is the proof of error estimates in L2 (L2 )-norm and in DG-norm formed by the L2 (H1 )-seminorm and penalty terms. The second part of the thesis deals with the realization of fluid-structure interaction problem of the compressible viscous flow with the elastic structure. The time-dependence of the domain occupied by the fluid is treated by the ALE (Arbitrary Lagrangian-Eulerian) method, when the compress- ible Navier-Stokes equations are formulated in...
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Sport and its Place in Christian Life
Šafářová, Světlana ; Kozel, Karel (advisor) ; Michalcová, Andrea (referee)
Bc thesis SPORT AND ITS PLACE IN CHRISTIAN LIFE wants to unveil a man as the whole image of the God. We have been living with the hope of salvation and we will be saved as the whole - our body, soul and spirit. Spiritual dimension of the body is based on the faith of its ressurection. The body needs the same care, attention, creativity and gratitude to the Creator as the soul and spirit do. The sport is one of the way to the care of the body. This thesis wants not only critically evaluate the place of the sport and activity of the body in Christian life but also to find its blind alleyways and risks. It also deals with the question how significant the integration of regular sport activities into the curriculum of teological faculties can be in additon to the intelectual and spiritual formation. KEY WORDS sport, physical exercise, play, Christian life, body
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Interaction of a Fluid Flow with an Elastic Body
Mádlík, Martin ; Maršík, František (advisor) ; Kozel, Karel (referee) ; Rajagopal, K.R. (referee)
The interaction problem of incompressible fluid and incompressible elastic material in the so-called Arbitrary Lagrangian-Eulerian formulation is be- ing studied in this thesis. After giving an overview of the essential principles of continuum mechanics in the moving domains, the fluid-structure interaction model is defined. Next, appropriate numerical scheme in three-dimensional space, based on finite element method, is presented and suitable numerical implementation is proposed. The properties of the presented numerical method are demonstrated on the number of numerical examples. The simplest approach, decoupling the problem into the fluid and solid parts and treating the interaction between them as an external boundary condition, is later revised by introducing the single continuum formulation. The interaction is then seen as an internal boundary, which does not require any special treatment. The proposed method allows to model the large deformations of an incom- pressible Neo-Hookean material, a flow of an incompressible power-law fluid and a mutual material interaction. The quasi-Newton method is used to solve with the original non-linear problem, while a direct solver is the tool that deals with the resulting linearized form. The numerical implementation takes advantage of parallel programming...
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