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Numerical Solution of the Three-dimensional Compressible Flow
Kyncl, Martin ; Felcman, Jiří (advisor) ; Dolejší, Vít (referee) ; Brandner, Marek (referee)
Title: Numerical Solution of the Three-dimensional Compressible Flow Author: Martin Kyncl Department: Department of Numerical Mathematics Supervisor: Doc. RNDr. Jiří Felcman, CSc. Abstract: This thesis deals with a fluid flow in 3D in general. The system of the equations, describing the compressible gas flow, is solved numerically, with the aid of the finite volume method. The main purpose is to describe particular boundary conditions, based on the analysis of the incomplete Riemann problem. The analysis of the original initial-value problem shows, that the right hand-side initial condition, forming the Riemann problem, can be partially replaced by the suitable complementary condition. Several modifications of the Riemann problem are introduced and analyzed, as an original result of this work. Algorithms to solve such problems were implemented and used in code for the solution of the compressible gas flow. Numerical experiments documenting the suggested methods are performed. Keywords: compressible fluid flow, the Navier-Stokes equations, the Euler equations, boundary conditions, finite volume method, the Riemann problem, numerical flux, tur- bulent flow
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Numerical solution of 3D ow
Kyncl, Martin
Nazev prace-: Numericke fesem tfirozrnorneho proucleni Autor: Martin Kyncl Katcdra: Katedra numericke iiiatcinatiky Vedouci diplomove prace: Doc. RNDr. Jifi Felcman, CSc. e-mail vedouciho: felcman(G>karlm.inff.cuni.c/ Abstrakt: Prace se zabyva numorickym modelovanim nevazkeho a vazkeho stlacitelneho proudeni plynu ve 3D. Pou/iLa mutoda fes(Mif jn zalo2cna na ro/lo/rni systemu, kterym jc proudoni popsano, na nevazkou a ciste vaxkou cast. V praci json uvedeny numericke vyskulky, ktcre uka/uji pou/Jtelnost navrzene metody. Klicova slova: stlacitelne proudeni, Eulerovy rovnice, Navier-SLokesovy rov- nice, mctoda konecnycli objeinu, motoda konecnych prvku, Dolauriayova tri- angulace Title: Numerical solution of 3D flow Author: Martin Kyncl Department: Department, of Numerics Supervisor: Doc. RNDr. Jin Felcman, CSc. Supervisor's e-mail address: folemanQkarlin.mff.cuni.c/ Abstract: The paper is concerned with numerical modelling of inviscid as well as viscous gas flow in 3D. The method is based on upwind flux vector splitting finite volume scheme combined with finite elements. The geomet- rical data and the computational results for the three-dimensional flow arc presented. Keywords: compressible flow, Euler equations, Navicr-Stokes equations, fi- nite volume method, finite element method, Delaunay...
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Management and imaging of bronchopulmonary malformations in children
Kynčl, Martin ; Roček, Miloslav (advisor) ; Eliáš, Pavel (referee) ; Heřman, Miroslav (referee)
Background Bronchopulmonary malformations (BPMs) consists of a broad spectrum of developmental abnormalities, ranging from abnormal lung with normal vasculature to abnormal vasculature with normal lungs and lesions with both parenchymal and vascular abnormalities. Terminology remains a problem, the use of descriptive approach is strongly supported in practice. The aim of our study was to assess the accuracy of computed tomography (CT) and magnetic resonance imaging (MRI) in classifying the different types of BPMs and to correlate this imaging with pathologic finding. Materials and methods We identified 24 patients reffered to our institution between years 2010 and 2015 with prenatal ultrasound (US) diagnosis of BPM, who had undergone surgical resection. Postnatal chest CT scans and fetal MRI of these patients formed the basis of our retrospective study. Two radiologists blinded to the histopathological results rewieved all CT and fetal MRI scans. Detected lesions were classified by predetermined criteria. These data were correlated with histopathological results. Results The significant diagnosis overlap of 71% (17 cases out of 24) between the CT and histology was observed. The significant diagnosis overlap between MRI and histology was observed of 80 % (8 cases out of 10). The diagnosis overlap of...
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Numerical Solution of the Three-dimensional Compressible Flow
Kyncl, Martin ; Felcman, Jiří (advisor) ; Dolejší, Vít (referee) ; Brandner, Marek (referee)
Title: Numerical Solution of the Three-dimensional Compressible Flow Author: Martin Kyncl Department: Department of Numerical Mathematics Supervisor: Doc. RNDr. Jiří Felcman, CSc. Abstract: This thesis deals with a fluid flow in 3D in general. The system of the equations, describing the compressible gas flow, is solved numerically, with the aid of the finite volume method. The main purpose is to describe particular boundary conditions, based on the analysis of the incomplete Riemann problem. The analysis of the original initial-value problem shows, that the right hand-side initial condition, forming the Riemann problem, can be partially replaced by the suitable complementary condition. Several modifications of the Riemann problem are introduced and analyzed, as an original result of this work. Algorithms to solve such problems were implemented and used in code for the solution of the compressible gas flow. Numerical experiments documenting the suggested methods are performed. Keywords: compressible fluid flow, the Navier-Stokes equations, the Euler equations, boundary conditions, finite volume method, the Riemann problem, numerical flux, tur- bulent flow
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Importance of imaging methods in neurology
Drábová, Zuzana ; Lisý, Jiří (referee) ; Kynčl, Martin (advisor)
The nervous sytem is one of the most important organ system of the human body. All the functions of the body are regulated and controlled by the nervous system, which consist of two main divisions: 1. the cerebrospinal nervous system - systema nervosum centrale 2. the peripheral nervous system - systema nervosus periphericum. Neurology is very large branch and that's also the reason why there are use many of the imaging methods which help the neurologists first in the diagnostic. In dissertation I deal with the importance such methods like are e.g. magnetic resosnance imaging (MRI) , computer tomography (CT), digital substraction angiograpgy (DSA) and the other. There will be described a progress of investigation and especially the importance and applying the technology to the neurology. Analysis the role of the radiologic technician in neurology is the separate chapter, where I try to sum up the way of applying the radiologic technician in so-called auxiliary neurological investigations. Powered by TCPDF (www.tcpdf.org)
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The role of radiologist assistant in the diagnostics of injuries and diseases of the locomotive system
Všetečková, Veronika ; Kynčl, Martin (referee) ; Lisý, Jiří (advisor)
This theme is very extensive and space for writing about it is limited in my bachelor's work. I targeted the work on role of radiology assistant by doing individual investigations. At the beginning of my bachelor 's work anatomy of musculoskeletal system and her passive and active parts are described. Than I would like to give details of main investigation's methods of musculoskeletal system, describe situation of the indication and differences in displaying various part of musculoskeletal system. In the next part of my bachelor's work I wrote more details about basic principles of the main methods, indications and contraindications of the main methods, role of radiology assistant by using one of the main methods and benefits and disadvantages these main methods. At the end of my bachelor's work I compared role of radiology assistant doing the investigation with using the different main methods (as CT, MR, X-ray, sonography, scintigraphy) and time, physical and technical intensity of the methods. Research comparing of knee - joint's investigations with using three methods of the main methods is too the part of my bachelor's work. I selected investigation of knee - joint because of it is a typical investigation of musculoskeletal system. Research comparing of knee - joint's investigations expertise role of...
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The role of radiologist assistant in diagnostic examination of the brain
Váchová, Kateřina ; Kynčl, Martin (referee) ; Lisý, Jiří (advisor)
This thesis describes the role of the radiological assistant in diagnostic examination methods, while the brain was chosen as the examined area. The introductory part deals with brain anatomy; as for its anatomical composition, the brain shows a very complex nature, and therefore I focus only on fundamental anatomical structures in this thesis. The essential principle of CT and MR is explained, as well as structural elements of the apparatuses, their types, types of sequences and ways of display. Contrast substances are applied in a considerable number of examinations, they are thus mentioned in this thesis, as well. Another important issue concerns radiation protection when working with ionizing sources. The next part describes the most significant examinations and the radiological assistant's role in such examinations. Fundamental imaging methods of examining the brain include computer tomography and magnetic resonance. These methods make it possible to localize accurately and very quickly intracranial bleeding, tumours, inflammations, development anomalies, degenerative changes, vascular malformations and their complications, necroses, traumas etc. The final part of this thesis compares the advantages, drawbacks and benefits of each of the methods mentioned. The thesis includes a research part, as well....
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Numerical solution of 3D ow
Kyncl, Martin
Nazev prace-: Numericke fesem tfirozrnorneho proucleni Autor: Martin Kyncl Katcdra: Katedra numericke iiiatcinatiky Vedouci diplomove prace: Doc. RNDr. Jifi Felcman, CSc. e-mail vedouciho: felcman(G>karlm.inff.cuni.c/ Abstrakt: Prace se zabyva numorickym modelovanim nevazkeho a vazkeho stlacitelneho proudeni plynu ve 3D. Pou/iLa mutoda fes(Mif jn zalo2cna na ro/lo/rni systemu, kterym jc proudoni popsano, na nevazkou a ciste vaxkou cast. V praci json uvedeny numericke vyskulky, ktcre uka/uji pou/Jtelnost navrzene metody. Klicova slova: stlacitelne proudeni, Eulerovy rovnice, Navier-SLokesovy rov- nice, mctoda konecnycli objeinu, motoda konecnych prvku, Dolauriayova tri- angulace Title: Numerical solution of 3D flow Author: Martin Kyncl Department: Department, of Numerics Supervisor: Doc. RNDr. Jin Felcman, CSc. Supervisor's e-mail address: folemanQkarlin.mff.cuni.c/ Abstract: The paper is concerned with numerical modelling of inviscid as well as viscous gas flow in 3D. The method is based on upwind flux vector splitting finite volume scheme combined with finite elements. The geomet- rical data and the computational results for the three-dimensional flow arc presented. Keywords: compressible flow, Euler equations, Navicr-Stokes equations, fi- nite volume method, finite element method, Delaunay...
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