Jede Ausgabe des Magazins enthält ein Schwerpunkt-Thema, wie der Einsatz von Magnetfeldern für die Forschung ("entdeckt" 1/2012), das gesellschaftlich brisante Thema der Endlagerung von radioaktivem Abfall (JOURNAL Nr. 5) oder der Einsatz von ionisierender Strahlung gegen die Volkskrankheit Krebs (JOURNAL Nr. 3). Darüber hinaus können Sie weitere Forschungsnachrichten lesen oder sich über neue Mitarbeiter und Arbeitsgruppen bzw. über interessante Veranstaltungen informieren.

\"Discovered\" is the English-language edition of our research magazine; it is published once a year. The magazine\'s German-language edition \"entdeckt\" is published biannually. Each new issue of this easy-to-read magazine has a major focus, be it magnetic fields and forces, nuclear safety research, the DRESDEN-concept research alliance or cancer research. The magazine keeps you informed about research at the HZDR, new staff members or work groups as well as interesting events.

This dissertation develops surface integral equations using constraint-based Helmholtz decompositions for electromagnetic modeling. This new approach is applied to the electric field integral equation (EFIE), and it incorporates a Helmholtz decomposition (HD) of the current. For this reason, the new formulation is referred to as the EFIE-hd. The HD of the current is accomplished herein via appropriate surface integral constraints, and leads to a stable linear system. This strategy provides accurate solutions for the electric and magnetic fields at both high and low frequencies, it allows for the use of a locally corrected Nyström (LCN) discretization method for the resulting formulation, it is compatible with the local global solution framework, and it can be used with non-conformal meshes. To address large-scale and complex electromagnetic problems, an overlapped localizing local-global (OL-LOGOS) factorization is used to factorize the system matrix obtained from an LCN discretization of the augmented EFIE (AEFIE). The OL-LOGOS algorithm provides good asymptotic performance and error control when used with the AEFIE. This application is used to demonstrate the importance of using a well-conditioned formulation to obtain efficient performance from the factorization algorithm.

Wind turbine noise is a re-emerging issue in the wind industry. As the competition for sites with good wind potential on land is rising, offshore projects in coastal areas seem as a reasonable alternative to onshore. In this context offshore sound propagation is gaining more importance considering that sound will travel over longer distances on water, especially with regard to lower frequencies. Moreover different meteorological conditions that occur on sea may attenuate or enhance sound propagation on water. The prediction tools commonly used by developers are only partially taking these parameters into account. This will be investigated in this thesis.   Hence, different methods for predicting offshore wind turbine noise are going to be assessed. These methods can be divided in two approaches namely algebraic and Partial Differential Equation (PDE) based. The methods evaluated are the ISO 9613-2 standard for outdoor noise prediction, the Danish method and the Swedish method for wind turbines noise estimation over water.   For the PDE based approach, the Helmholtz Equation will be employed in order to examine different meteorological conditions and phenomena occurring over a flat reflecting surface. The experiments with the PDE include the simulation of meteorological conditions with different levels of refraction and changing ground impedance in order to take into account the effect of a shoreline. In addition a meteorological phenomenon called the low-level jet is investigated which is characterised by strong winds at relatively low altitude.   Noise prediction tools used by developers need to be able to consider these effects in order to allow for thorough planning of wind energy projects. Nonetheless, relatively more complex models such as the Helmholtz Equation require experienced users and significant computing time. Further research and development needs to be made in order to promote the wider use of noise prediction methods like the Helmholtz Equation in the wind industry.

Les traitements acoustiques actuels pour parois d’avion sont performants en hautes fréquences mais nécessitent des améliorations en basses fréquences. En effet dans le cas des matériaux classiques cela nécessite une épaisseur élevée et donc les traitements ont une masse très importante. Des solutions sortant de ce cadre doivent donc être développées. Ce projet de maîtrise a pour but de créer un traitement acoustique à base de résonateurs de Helmholtz intégrés dans un matériau poreux, afin de réfléchir les ondes acoustiques basses fréquences tout en absorbant sur une large bande de fréquences en hautes fréquences. Le principe est basé sur la conception d’un méta-composite, optimisé numériquement et validé expérimentalement en tube d’impédance et chambres de transmission. La performance du concept sera également étudiée sur une maquette de la coiffe du lanceur Ariane 5 avec un modèle d’analyse énergétique statistique (SEA). Pour cela, on s’appuie sur les travaux précédents sur les résonateurs d’Helmholtz, les méta-matériaux, les méta-composites et la modélisation par matrices de transfert. L’optimisation se fait via un modèle basé sur les matrices de transfert placé dans une boucle d’optimisation.

We study two finite element methods for solving time-harmonic electromagnetic and acoustic problems: the discontinuous Petrov-Galerkin (DPG) method and the hybrid discontinuous Galerkin (HDG) method. The DPG method for the Helmholtz equation is studied using a test space normed by a modified graph norm. The modification scales one of the terms in the graph norm by an arbitrary positive scaling parameter. We find that, as the parameter approaches zero, better results are obtained, under some circumstances. A dispersion analysis on the multiple interacting stencils that form the DPG method shows that the discrete wavenumbers of the method are complex, explaining the numerically observed artificial dissipation in the computed wave approximations. Since the DPG method is a nonstandard least-squares Galerkin method, its performance is compared with a standard least-squares method having a similar stencil. We study the HDG method for complex wavenumber cases and show how the HDG stabilization parameter must be chosen in relation to the wavenumber. We show that the commonly chosen HDG stabilization parameter values can give rise to singular systems for some complex wavenumbers. However, this failure is remedied if the real part of the stabilization parameter has the opposite sign of the imaginary part of the wavenumber. For real wavenumbers, results from a dispersion analysis for the Helmholtz case are presented. An asymptotic expansion of the dispersion relation, as the number of mesh elements per wave increase, reveal values of the stabilization parameter that asymptotically minimize the HDG wavenumber errors. Finally, a dispersion analysis of the mixed hybrid Raviart-Thomas method shows that its wavenumber errors are an order smaller than those of the HDG method. We conclude by presenting some contributions to the development of software tools for using the DPG method and their application to a terahertz photonic structure. We attempt to simulate field enhancements recently observed in a novel arrangement of annular nanogaps.

We examine the tides in the Kitikmeot Sea using year-long time-series from moored instrumentation in Dease Strait, and a 3D barotropic numerical tidal model of the region. The in-situ data show strong tidal damping during wintertime seasonal sea ice cover, with a 50-60% reduction in M2 and K1 tidal elevation and 65% reduction in M2 and K1 tidal velocities at the sea ice maximum. We hypothesize the damping largely occurs in Victoria Strait, the eastern gateway of the Kitikmeot Sea, where tidal-induced ridging causes thick, rough ice to accumulate over its shallow sill. Using the numerical model, FVCOM, we independently vary sea ice friction and sea ice thickness, and show that the observed wintertime tidal damping likely requires both very rough ice and a partial sea ice blockage in the sill region. Analysis of the model shows different dynamics and dissipation of the dominant M2 and K1 tides. Both M2 and K1 tides are dominated by the Atlantic tides entering through Victoria Strait. Arctic tides, entering from the west, have a minor, but significant, contribution to the M2 tide. Overall, the K1 tide, after 19% dissipation in Victoria Strait and 24% in adjoining bays, propagates far into the region and behaves as a Helmholtz resonator in Dease Strait and Coronation Gulf. In contrast, 92% of the M2 tidal energy does not reach Dease Strait because, in addition to dissipation in Victoria Strait (29%), it is significantly diverted into adjoining bays and around an amphidrome in eastern Queen Maud Gulf. The K1 tide, with double the wavelength of the M2 tide, is less diverted. / Graduate / 2020-07-22

Já é conhecido que nos últimos 50 anos muitos sistemas de propulsão, principalmente os motores foguete, tanto a propelente sólido como líquido, tem apresentado muitos problemas de instabilidade de combustão, sendo esta a maior preocupação durante a fase de projeto. Essas instabilidades se manifestam principalmente através de oscilações de pressão na câmara e muitas vezes na forma de modos acústicos fundamentais, ou seja, instabilidades acústicas e as mesmas podem aumentar a taxa de transferência de calor para as paredes da câmara, podendo levá-la a explosão. O presente trabalho tem como principal finalidade a avaliação de uma metodologia para o projeto de dispositivos passivos (ressonadores de Helmholtz) para o controle de instabilidades acústicas em câmaras de combustão. Como primeiros passos foram feitos ensaios acústicos para se conhecer as características acústicas da câmara. A partir destes dados foi feito um cálculo utilizando o modelo do Ressonador de Helmholtz para se definir as dimensões do ressonador a ser construído para amortecer uma determinada freqüência de ressonância selecionada. Os resultados obtidos com ensaios a frio se mostram satisfatórios no percentual de absorção para a freqüência de projeto e também em uma faixa próximo desta. Bom resultado também é obtido na predição das freqüências ressonantes da câmara. Ensaios a quente também foram realizados para verificar o comportamento do ressonador nestas condições. Os dados experimentais permitem afirmar que a metodologia empregada pode ser útil para o dimensionamento de ressonadores que permitem atenuar os efeitos de instabilidade de combustão.

In this thesis, we consider four different stochastic partial differential equations. Firstly, we study stochastic Helmholtz equation driven by an additive white noise, in a bounded convex domain with smooth boundary of Rd (d = 2, 3). And then with the help of the perfectly matched layers technique, we also consider the stochastic scattering problem of Helmholtz type. The second part of this thesis is to investigate the time harmonic case for stochastic Maxwell's equations driven by an color noise in a simple medium, and then we expand the results to the stochastic Maxwell's equations in case of dispersive media in Rd (d = 2, 3). Thirdly, we study stochastic parabolic partial differential equation driven by space-time color noise, where the domain O is a bounded domain in R2 with boundary ∂O of class C2+alpha for 0 < alpha < 1/2. In the last part, we discuss the stochastic wave equation (SWE) driven by nonlinear noise in 1D case, where the noise 626x6t W(x, t) is the space-time mixed second-order derivative of the Brownian sheet. / Many physical and engineering phenomena are modeled by partial differential equations which often contain some levels of uncertainty. The advantage of modeling using so-called stochastic partial differential equations (SPDEs) is that SPDEs are able to more fully capture interesting phenomena; it also means that the corresponding numerical analysis of the model will require new tools to model the systems, produce the solutions, and analyze the information stored within the solutions. / One of the goals of this thesis is to derive error estimates for numerical solutions of the above four kinds SPDEs. The difficulty in the error analysis in finite element methods and general numerical approximations for a SPDE is the lack of regularity of its solution. To overcome such a difficulty, we follow the approach of [4] by first discretizing the noise and then applying standard finite element methods and discontinuous Galerkin methods to the stochastic Helmholtz equation and Maxwell equations with discretized noise; standard finite element method to the stochastic parabolic equation with discretized color noise; Galerkin method to the stochastic wave equation with discretized white noise, and we obtain error estimates are comparable to the error estimates of finite difference schemes. / We shall focus on some SPDEs where randomness only affects the right-hand sides of the equations. To solve the four types of SPDEs using, for example, the Monte Carlo method, one needs many solvers for the deterministic problem with multiple right-hand sides. We present several efficient deterministic solvers such as flexible CG method and block flexible GMRES method, which are absolutely essential in computing statistical quantities. / Zhang, Kai. / Adviser: Zou Jun. / Source: Dissertation Abstracts International, Volume: 70-06, Section: B, page: 3552. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 144-155). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Electronic reproduction. [Ann Arbor, MI] : ProQuest Information and Learning, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts in English and Chinese. / School code: 1307.

Cette thèse porte sur la résolution numérique, par la méthode des équations intégrales de frontière de problèmes de diffraction d'ondes acoustiques et électromagnétiques, en régime fréquentiel.<br />La méthode de Galerkin avec des éléments finis (scalaires ou vectoriels) de surface conduit à des systèmes matriciels mal conditionnés. Dans une première partie, pour accélérer la convergence d'algorithmes itératifs, on propose et étudie théoriquement et numériquement des préconditionneurs basés sur<br />les relations de Calderon qui lient les opérateurs intégraux apparaissant dans les équations. En électromagnétisme on utilise de plus des analogues discrets de la décomposition de Helmholtz des champs tangents. Dans une deuxième partie on utilise des estimations sur ces décompositions pour effectuer une nouvelle analyse numérique de l'équation intégrale de champ électrique. Cette analyse est étendue au cas de la diffraction par les<br />surfaces ouvertes (écrans), modélisant les conducteurs parfaits minces.