The content of master´s thesis is to introduce with OpenSource software, which use finite element method and to study facilities implementation of free accessible library solvers, meshes and visualization tools. Further there are individual modules introduced. Is chosen suitable combination of OpenSource tools, which create full simulation facility for finite element method. In the conclusion, several electromagnetic examples are solved.

<div>The Boltzmann equation, an integro-differential equation for the molecular distribution function in the physical and velocity phase space, governs the fluid flow behavior at a wide range of physical conditions, including compressible, turbulent, as well as flows involving further physics such as non-equilibrium internal energy exchange and chemical reactions. Despite its wide applicability, deterministic solutions of the Boltzmann equation present a huge computational challenge, and often the collision operator is simplified for practical reasons, hereby, referred to as linear kinetic models. These models utilize the moment of the underlying probability distribution to mimic some properties of the original collision operator. But, just because we know the moments of a distribution, doesn't mean we know the actual distribution. The approximation of reality can never supersede the reality itself. Because, all the facts (moments) about the world (distribution) cannot explain the world. The premise lies not in the fact that a certain flow behavior can be correctly predicted; but rather that the Boltzmann equation can reveal and explain previously unsuspected aspects of reality.</div><div><br></div><div>Therefore, in this work, we introduce accurate, efficient, and robust numerical schemes for solving the multi-species Boltzmann equation which can model general repulsive interactions. These schemes are high order spatially and temporally accurate, spectrally accurate in molecular velocity space, exhibit nearly linear parallel efficiency on the current generation of processors; and can model a wide-range of rarefied flows including flows involving momentum, heat, and diffusive transport. The single-species variant formed the basis of author's Masters' thesis.</div><div><br></div><div>While the first part of the dissertation is targeted towards multi-species flows that exhibit rich non-equilibrium phenomenon; the second part focuses on single-species flows that do not depart significantly from equilibrium. This is the case, for example, in micro-nozzles, where a portion of flow can be highly rarefied, whereas others can be in near-continuum regime. However, when the flow is in near-continuum regime, the traditional deterministic numerical schemes for kinetic equations encounter two difficulties: a) since the near-continuum is essentially an effect of large number of particles in an infinitesimal volume, the average time between successive collisions decrease, and therefore the discrete simulation timestep has to be made smaller; b) since the number of molecular collisions increase, the flow acquires steady state slowly, and therefore one needs to carry out time integration for large number of time steps. Numerically, the underlying issue stems from stiffness of the discretized ordinary differential equation system. This situation is analogous to low Reynolds number scenario in traditional compressible Navier-Stokes simulations. To circumvent these issues, we introduce a class of high order spatially and temporally accurate implicit-explicit schemes for single-species Boltzmann equation and related kinetic models with the following properties: a) since the Navier-Stokes can be derived from the asymptotics of the Boltzmann equation (using Chapman-Enskog expansion~\cite{cercignani2000rarefied}) in the limit of vanishing rarefaction, these schemes preserve the transition from Boltzmann to Navier-Stokes; b) the timestep is independent of the rarefaction and therefore the scheme can handle both rarefied and near-continuum flows or combinations thereof; c) these schemes do not require iterations and therefore are easy to scale to large problem sizes beyond thousands of processors (because parallel efficiency of Krylov space iterative solvers deteriorate rapidly with increase in processor count); d) with use of high order multi-stage time-splitting, the time integration over sufficiently long number of timesteps can be carried out more accurately. The extension of the present methodology to the multi-species case can be considered in the future. </div><div><br></div><div>A series of numerical tests are performed to illustrate the efficiency and accuracy of the proposed methods. Various benchmarks highlighting different scattering models, different mass ratios, momentum transport, heat transfer, and diffusive transport have been studied. The results are directly compared with the direct simulation Monte Carlo (DSMC) method. As an engineering use-case, the developed methodology is applied for the study of thermal processes in micro-systems, such as heat transfer in electronic-chips; and primarily, the ingeniously Purdue-developed, Microscale In-Plane Knudsen Radiometric Actuator (MIKRA) sensor, which can be used for flow actuation and measurement.</div>

Automatic publication of data and metadata for map and catalogue systems from raster sources in PostgreSQL Abstract The main goal of the presented work is the design and implementation of the application for the automatic publication of the raster data and metadata from the PostgreSQL database to the map and catalog services. The application should exclusively utilize the open source software and technologies. The fundamental component of the developed application is the PostgreSQL database with the PostGIS and PostGIS raster extensions. The presented work evaluates the possibilities of the raster storage from different points of view -e.g. the suitability for the further data processing or the publication of the raster data. The most suitable structure for raster storage is then proposed with respect to analytical and publication usage of the stored data. The possibilities of the open source software for the solution and implementation of the presented problem are then inspected. The GeoNetwork and GeoServer are utilized as a metadata and map server solution. The results of the deployment of these technologies is then evaluated for the real world data and compared with other available related solutions. Keywords: PostGIS, PostGIS raster, GeoServer, GeoNetwork opensource, metadata, web map services, OGC,...

In vorhandener Literatur zum Thema „WebMapping“ wird zwar häufig die hohe Bedeutung von WebMapping-Anwendungen hervorgehoben, jedoch existieren kaum empirische Untersuchungen zur diesbezüglichen Relevanz. Mittels einer offenen Web-Befragung wurde anhand eines Fallbeispiels empirisch untersucht, welche Bedeutung eine WebMapping-Anwendung im Rahmen eines größeren Informationskontextes eines Webportals besitzt. Zudem wurde untersucht, welche Funktionalitäten innerhalb der WebMapping-Applikation als besonders wichtig angesehen werden und welche Wichtigkeit eine mobile WebMapping-Anwendung für die Nutzer besitzt.

The databsae of accoustical recordings is a web-based application, which is accessible with an usual web browser. There were used technologies, that are ussually used in web applications. This ensures, that the application is open for using by wide range of users. The application enables uploading WAWE files to the server and allows the user to add various description of the recordings. The application allows also comparing the quality of recordings, which were processed with some method for highlighting the accoustical signal from noise. This function is established by listening tests, which are open for every user, who wants to join the tests.