Artificial boundary conditions for the Stokes and Navier-Stokes equations in domains that are layer-like at infinity

Artificial boundary conditions are presented to approximate solutions to Stokes- and Navier-Stokes problems in domains that are layer-like at infinity. Based on results about existence and asymptotics of the solutions v^infinity, p^infinity to the problems in the unbounded domain Omega the error v^infinity - v^R, p^infinity - p^R is estimated in H^1(Omega_R) and L^2(Omega_R), respectively. Here v^R, p^R are the approximating solutions on the truncated domain Omega_R, the parameter R controls the exhausting of Omega. The artificial boundary conditions involve the Steklov-Poincare operator on a circle together with its inverse and thus turn out to be a combination of local and nonlocal boundary operators. Depending on the asymptotic decay of the data of the problems, in the linear case the error vanishes of order O(R^{-N}), where N can be arbitrarily large.

Prediction of the azimuth angle dependence of the quasimolecular anisotropy in heavy ion collisions

Within the quasimolecular (MO) kinematic dipole model we predict a strong dependence of the anisotropy of the MO radiation on the orientation of the heavy ion scattering plane relative to the direction of the photon detection plane.

Designing a Robust Pitch Angle Controller for a 2‐Motor‐Pitch‐System in a Large Wind Turbine

Für große Windenergieanlagen werden neue Pitchregler wie Einzelblattregler oder Turmdämpfungsregler entwickelt. Während diese neuen Pitchregler die Elemente der Windenergieanlagen entlasten, wird das Pitchantriebssystem stärker belastet. Die Pitchantriebe müssen weitaus häufiger bei höherer Amplitude arbeiten. Um die neuen Pitchregler nutzen zu können, muss zunächst das Problem der Materialermüdung der Pitchantriebssysteme gelöst werden. Das Getriebespiel in Getrieben und zwischen Ritzeln und dem Zahnkranz erhöht die Materialermüdung in den Pitchantriebssystemen. In dieser Studie werden als Lösung zwei Pitchantriebe pro Blatt vorgeschlagen. Die beiden Pitchantriebe erzeugen eine Spannung auf dem Pitchantriebssystem und kompensieren das Getriebespiel. Drehmomentspitzen, die eine Materialermüdung verursachen, treten bei diesem System mit zwei Pitchmotoren nicht mehr auf. Ein Reglerausgang wird via Drehmomentverteiler auf die beiden Pitchantriebe übertragen. Es werden mehrere Methoden verglichen und der leistungsfähigste Drehmomentverteiler ausgewählt. Während die Pitchantriebe in Bewegung sind, ändert sich die Spannung auf den Getrieben. Die neuen Pitchregler verstellen den Pitchwinkel in einer sinusförmigen Welle. Der Profilgenerator, der derzeit als Pitchwinkelregler verwendet wird, kann eine Phasenverzögerung im sinusförmigen Pitchwinkel verursachen. Zusätzlich erzeugen große Windenergieanlagen eine hohe Last, die sich störend auf die Pitchbewegung auswirkt. Änderungen der viskosen Reibung und Nichtlinearität der Gleitreibung bzw. Coulombsche Reibung des Pitchregelsystems erschweren zudem die Entwicklung eines Pitchwinkelreglers. Es werden zwei robuste Regler (H∞ und μ–synthesis ) vorgestellt und mit zwei herkömmlichen Reglern (PD und Kaskadenregler) verglichen. Zur Erprobung des Pitchantriebssystems und des Pitchwinkelreglers wird eine Prüfanordnung verwendet. Da der Kranz nicht mit einem Positionssensor ausgestattet ist, wird ein Überwachungselement entwickelt, das die Kranzposition meldet. Neben den beiden Pitchantrieben sind zwei Lastmotoren mit dem Kranz verbunden. Über die beiden Lastmotoren wird das Drehmoment um die Pitchachse einer Windenergieanlage simuliert. Das Drehmoment um die Pitchachse setzt sich zusammen aus Schwerkraft, aerodynamischer Kraft, zentrifugaler Belastung, Reibung aufgrund des Kippmoments und der Beschleunigung bzw. Verzögerung des Rotorblatts. Das Blatt wird als Zweimassenschwinger modelliert. Große Windenergieanlagen und neue Pitchregler für die Anlagen erfordern ein neues Pitchantriebssystem. Als Hardware-Lösung bieten sich zwei Pitchantriebe an mit einem robusten Regler als Software.

The prediction of seasonal and inter-annual climate variations and their impacts on the water resources in the eastern seaboard of Thailand

The research of this thesis dissertation covers developments and applications of short-and long-term climate predictions. The short-term prediction emphasizes monthly and seasonal climate, i.e. forecasting from up to the next month over a season to up to a year or so. The long-term predictions pertain to the analysis of inter-annual- and decadal climate variations over the whole 21st century. These two climate prediction methods are validated and applied in the study area, namely, Khlong Yai (KY) water basin located in the eastern seaboard of Thailand which is a major industrial zone of the country and which has been suffering from severe drought and water shortage in recent years. Since water resources are essential for the further industrial development in this region, a thorough analysis of the potential climate change with its subsequent impact on the water supply in the area is at the heart of this thesis research. The short-term forecast of the next-season climate, such as temperatures and rainfall, offers a potential general guideline for water management and reservoir operation. To that avail, statistical models based on autoregressive techniques, i.e., AR-, ARIMA- and ARIMAex-, which includes additional external regressors, and multiple linear regression- (MLR) models, are developed and applied in the study region. Teleconnections between ocean states and the local climate are investigated and used as extra external predictors in the ARIMAex- and the MLR-model and shown to enhance the accuracy of the short-term predictions significantly. However, as the ocean state – local climate teleconnective relationships provide only a one- to four-month ahead lead time, the ocean state indices can support only a one-season-ahead forecast. Hence, GCM- climate predictors are also suggested as an additional predictor-set for a more reliable and somewhat longer short-term forecast. For the preparation of “pre-warning” information for up-coming possible future climate change with potential adverse hydrological impacts in the study region, the long-term climate prediction methodology is applied. The latter is based on the downscaling of climate predictions from several single- and multi-domain GCMs, using the two well-known downscaling methods SDSM and LARS-WG and a newly developed MLR-downscaling technique that allows the incorporation of a multitude of monthly or daily climate predictors from one- or several (multi-domain) parent GCMs. The numerous downscaling experiments indicate that the MLR- method is more accurate than SDSM and LARS-WG in predicting the recent past 20th-century (1971-2000) long-term monthly climate in the region. The MLR-model is, consequently, then employed to downscale 21st-century GCM- climate predictions under SRES-scenarios A1B, A2 and B1. However, since the hydrological watershed model requires daily-scale climate input data, a new stochastic daily climate generator is developed to rescale monthly observed or predicted climate series to daily series, while adhering to the statistical and geospatial distributional attributes of observed (past) daily climate series in the calibration phase. Employing this daily climate generator, 30 realizations of future daily climate series from downscaled monthly GCM-climate predictor sets are produced and used as input in the SWAT- distributed watershed model, to simulate future streamflow and other hydrological water budget components in the study region in a multi-realization manner. In addition to a general examination of the future changes of the hydrological regime in the KY-basin, potential future changes of the water budgets of three main reservoirs in the basin are analysed, as these are a major source of water supply in the study region. The results of the long-term 21st-century downscaled climate predictions provide evidence that, compared with the past 20th-reference period, the future climate in the study area will be more extreme, particularly, for SRES A1B. Thus, the temperatures will be higher and exhibit larger fluctuations. Although the future intensity of the rainfall is nearly constant, its spatial distribution across the region is partially changing. There is further evidence that the sequential rainfall occurrence will be decreased, so that short periods of high intensities will be followed by longer dry spells. This change in the sequential rainfall pattern will also lead to seasonal reductions of the streamflow and seasonal changes (decreases) of the water storage in the reservoirs. In any case, these predicted future climate changes with their hydrological impacts should encourage water planner and policy makers to develop adaptation strategies to properly handle the future water supply in this area, following the guidelines suggested in this study.

Structural insights into the allosteric activation mechanism of cGMP-dependent protein kinase I

Cyclic GMP-dependent protein kinase (PKG) is a key transducer in the NO-cGMP signaling pathway. In this line, PKG has been considered an important drug target for treating hypertensive cardiovascular and pulmonary diseases. However, the investigation of PKG’s allosteric activation mechanism has been hampered by a lack of structural information. One of the fundamental questions on the cGMP-dependent activation of PKG is how the enzyme can distinguish cGMP over cAMP and selectively respond to cGMP. To ensure proper signaling, PKG must have developed unique features to ensure its activation upon the right activation signal. In this thesis, the cGMP-selective activation mechanism of PKG was studied through determining crystal structures of three truncated constructs of the regulatory domain [CNB-A (92-227), CNB-B (271-369), and CNB-A/B (92-351)] of PKG Iβ in the absence or presence of cyclic nucleotides. Herein, two individual CNB domain structures with biochemical data revealed that the C-terminal CNB domain (CNB-B) is responsible for cGMP selectivity, while the N-terminal CNB-domain (CNB-A) has a higher binding affinity for both cGMP and cAMP without showing any selectivity. Based on these crystal structures, mutagenesis studies were performed in which the critical residues for cyclic nucleotide selectivity and activation were identified. Furthermore, we discovered that the conformational changes of the C-terminal helix of the CNB-B that bridges between the regulatory and catalytic domains including the hydrophobic capping interaction are crucial for PKG activation. In addition, to observe the global conformation of the activated R-domain, I solved a co-crystal structure of the CNB-A/B with cGMP. Although a monomeric construct was crystallized, the structure displays a dimer. Strikingly, the CNB-A domain and its bound cGMP provide a key interface for this dimeric interaction. Using small angle X-ray scattering (SAXS), the existence of the cGMP-mediated dimeric interface within the CNB domains was confirmed. Furthermore, measuring cGMP-binding affinities (EC50) of the dimeric interface mutants as well as determining activation constants (Ka) revealed that the interface formation is important for PKG activation. To conclude, this thesis study provides a new mechanistic insight in PKG activation along with a newly found interface that can be targeted for designing PKG-specific activity modulators.