Study of a wind-wave numerical model and its integration with ocean and oil-spill numerical models

The ability to represent the transport and fate of an oil slick at the sea surface is a formidable task. By using an accurate numerical representation of oil evolution and movement in seawater, the possibility to asses and reduce the oil-spill pollution risk can be greatly improved. The blowing of the wind on the sea surface generates ocean waves, which give rise to transport of pollutants by wave-induced velocities that are known as Stokes’ Drift velocities. The Stokes’ Drift transport associated to a random gravity wave field is a function of the wave Energy Spectra that statistically fully describe it and that can be provided by a wave numerical model. Therefore, in order to perform an accurate numerical simulation of the oil motion in seawater, a coupling of the oil-spill model with a wave forecasting model is needed. In this Thesis work, the coupling of the MEDSLIK-II oil-spill numerical model with the SWAN wind-wave numerical model has been performed and tested. In order to improve the knowledge of the wind-wave model and its numerical performances, a preliminary sensitivity study to different SWAN model configuration has been carried out. The SWAN model results have been compared with the ISPRA directional buoys located at Venezia, Ancona and Monopoli and the best model settings have been detected. Then, high resolution currents provided by a relocatable model (SURF) have been used to force both the wave and the oil-spill models and its coupling with the SWAN model has been tested. The trajectories of four drifters have been simulated by using JONSWAP parametric spectra or SWAN directional-frequency energy output spectra and results have been compared with the real paths traveled by the drifters.

Numerical studies of colloidal systems

The interplay of hydrodynamic and electrostatic forces is of great importance for the understanding of colloidal dispersions. Theoretical descriptions are often based on the so called standard electrokinetic model. This Mean Field approach combines the Stokes equation for the hydrodynamic flow field, the Poisson equation for electrostatics and a continuity equation describing the evolution of the ion concentration fields. In the first part of this thesis a new lattice method is presented in order to efficiently solve the set of non-linear equations for a charge-stabilized colloidal dispersion in the presence of an external electric field. Within this framework, the research is mainly focused on the calculation of the electrophoretic mobility. Since this transport coefficient is independent of the electric field only for small driving, the algorithm is based upon a linearization of the governing equations. The zeroth order is the well known Poisson-Boltzmann theory and the first order is a coupled set of linear equations. Furthermore, this set of equations is divided into several subproblems. A specialized solver for each subproblem is developed, and various tests and applications are discussed for every particular method. Finally, all solvers are combined in an iterative procedure and applied to several interesting questions, for example, the effect of the screening mechanism on the electrophoretic mobility or the charge dependence of the field-induced dipole moment and ion clouds surrounding a weakly charged sphere. In the second part a quantitative data analysis method is developed for a new experimental approach, known as "Total Internal Reflection Fluorescence Cross-Correlation Spectroscopy" (TIR-FCCS). The TIR-FCCS setup is an optical method using fluorescent colloidal particles to analyze the flow field close to a solid-fluid interface. The interpretation of the experimental results requires a theoretical model, which is usually the solution of a convection-diffusion equation. Since an analytic solution is not available due to the form of the flow field and the boundary conditions, an alternative numerical approach is presented. It is based on stochastic methods, i. e. a combination of a Brownian Dynamics algorithm and Monte Carlo techniques. Finally, experimental measurements for a hydrophilic surface are analyzed using this new numerical approach.

Drainage of thin aqueous films between solid surfaces measured with the colloidal probe technique

Understanding liquid flow at the vicinity of solid surfaces is crucial to the developmentrnof technologies to reduce drag. One possibility to infer flow properties at the liquid-solid interface is to compare the experimental results to solutions of the Navier-Stokes equations assuming the no-slip boundary condition (BC) or the slip BC. There is no consensus in the literature about which BC should be used to model the flow of aqueous solutions over hydrophilic surfaces. Here, the colloidal probe technique is used to systematically address this issue, measuring forces acting during drainage of water over a surface. Results show that experimental variables, especially the cantilever spring constant, lead to the discrepancy observed in the literature. Two different parameters, calculated from experimental variables, could be used to separate the data obtained in this work and those reported in the literature in two groups: one explained with the no-slip BC, and another with the slip BC. The observed residual slippage is a function of instrumental variables, showing a trend incompatible with the available physical justifications. As a result, the no-slip is the more appropriate BC. The parameters can be used to avoid situations where the no-slip BC is not satisfied.

Numerical modelling of fluid-structure interaction with application in hemodynamics

The thesis deals with numerical algorithms for fluid-structure interaction problems with application in blood flow modelling. It starts with a short introduction on the mathematical description of incompressible viscous flow with non-Newtonian viscosity and a moving linear viscoelastic structure. The mathematical model consists of the generalized Navier-Stokes equation used for the description of fluid flow and the generalized string model for structure movement. The arbitrary Lagrangian-Eulerian approach is used in order to take into account moving computational domain. A part of the thesis is devoted to the discussion on the non-Newtonian behaviour of shear-thinning fluids, which is in our case blood, and derivation of two non-Newtonian models frequently used in the blood flow modelling. Further we give a brief overview on recent fluid-structure interaction schemes with discussion about the difficulties arising in numerical modelling of blood flow. Our main contribution lies in numerical and experimental study of a new loosely-coupled partitioned scheme called the kinematic splitting fluid-structure interaction algorithm. We present stability analysis for a coupled problem of non-Newtonian shear-dependent fluids in moving domains with viscoelastic boundaries. Here, we assume both, the nonlinearity in convective as well is diffusive term. We analyse the convergence of proposed numerical scheme for a simplified fluid model of the Oseen type. Moreover, we present series of experiments including numerical error analysis, comparison of hemodynamic parameters for the Newtonian and non-Newtonian fluids and comparison of several physiologically relevant computational geometries in terms of wall displacement and wall shear stress. Numerical analysis and extensive experimental study for several standard geometries confirm reliability and accuracy of the proposed kinematic splitting scheme in order to approximate fluid-structure interaction problems.

Photonen-Aufkonversion in Nanokapseln

Die vorliegende Dissertation zeigt eine erfolgreiche Verknüpfung der Triplett-Triplett-Annihilations-Aufkonversion (TTA-UC) mit möglichen biologischen Anwendungen. Die Grundlage für solche Anwendungen ist ein Transfer der TTA-UC aus seinem üblicherweise verwendeten organischen Medium in eine wässrige Umgebung. Um diesen Transfer zu realisieren, wurden, unter Anwendung der Technik des Miniemulsionsprozesses, in Wasser dispergierte Nanokapseln herstellt. Der Kern dieser Nanokapseln besteht aus einem flüssigen hydrophoben Medium (meist Hexadekan oder Phenylheptadekan), in dem die zur TTA-UC notwendigen Farbstoffe gelöst sind. Dieser flüssige Kern ist vollständig von einer festen Polymerhülle umschlossen und somit isoliert von seiner wässrigen Umgebung. Es wurden insgesamt drei Generationen solcher Nanokapseln hergestellt, die sich hauptsächlich im Herstellungsprozess, aber auch beim Material von Kern und Hülle unterscheiden. Mittels dieser Variationen konnten die Nanokapseln in Bezug auf Effizienz, Anregungswellenlänge und Sauerstoffempfindlichkeit optimiert werden. Bei der ersten Generation wurde die radikalische Miniemulsionspolymerisation zur Kapselbildung verwendet. Die zweite Generation wurde durch die Kombination des Lösungsmittelverdampfungsprozesses mit dem Miniemulsionsprozess entwickelt und liefert somit eine alternative Möglichkeit der Kapselbildung unter milden Reaktionsbedingungen, was eine uneingeschränkte Auswahl der UC-Farbstoffpaare ermöglicht. Durch den Einsatz unterschiedlicher Sensitizer konnte die Anregungswellenlänge der TTA-UC in den roten und in den nahen Infrarot-Bereich des sichtbaren Spektrums verschoben werden. Diese Verschiebung ist im biologischen Anwendungsbereich von enormer Bedeutung, da dort eine Überlappung mit dem natürlichen optischen Fenster von menschlicher Haut und Gewebe stattfindet. Dies reduziert die Streuung der Anregungsquelle im zu untersuchende Medium und ermöglicht hohe Eindringtiefen. Mit den Kapseln der zweiten Generation wurde zum ersten Mal TTA-UC in lebenden HeLa-Zellen (Krebszellen) und MSCs (Mesenchymale Stammzellen) nachgewiesen. Die verzögerte Fluoreszenz aus den Zellen wurde mit biologischen Standardverfahren, sowohl mit der Durchflusszytometrie (FACS) als auch am cLSM nachgewiesen. Besondere Vorteile gegenüber direkter Fluoreszenz konnten bei der Bildgebung von Zellen erreicht werden. Die relativ energiearme Anregungswellenlänge und die dazu anti-Stokes verschobene, detektierte verzögerte UC-Fluoreszenz lieferte eine bessere Bildqualität und eine sehr geringe Phototoxizität der Zellen. Die Kapseln der dritten Generation zeichnen sich durch ihre anorganische, tetraedrisch verknüpfte SiO2-Hülle aus und wurden mittels einer Grenzflächenreaktion (Sol-Gel-Prozess) in Miniemulsion hergestellt. Diese Kapseln weisen im Vergleich zu den Polymernanokapseln eine bessere UC-Effizienz auf und sind zusätzlich stabiler und robuster.

Representation theorems for indefinite quadratic forms and applications

Diese Arbeit widmet sich den Darstellungssätzen für symmetrische indefinite (das heißt nicht-halbbeschränkte) Sesquilinearformen und deren Anwendungen. Insbesondere betrachten wir den Fall, dass der zur Form assoziierte Operator keine Spektrallücke um Null besitzt. Desweiteren untersuchen wir die Beziehung zwischen reduzierenden Graphräumen, Lösungen von Operator-Riccati-Gleichungen und der Block-Diagonalisierung für diagonaldominante Block-Operator-Matrizen. Mit Hilfe der Darstellungssätze wird eine entsprechende Beziehung zwischen Operatoren, die zu indefiniten Formen assoziiert sind, und Form-Riccati-Gleichungen erreicht. In diesem Rahmen wird eine explizite Block-Diagonalisierung und eine Spektralzerlegung für den Stokes Operator sowie eine Darstellung für dessen Kern erreicht. Wir wenden die Darstellungssätze auf durch (grad u, h() grad v) gegebene Formen an, wobei Vorzeichen-indefinite Koeffzienten-Matrizen h() zugelassen sind. Als ein Resultat werden selbstadjungierte indefinite Differentialoperatoren div h() grad mit homogenen Dirichlet oder Neumann Randbedingungen konstruiert. Beispiele solcher Art sind Operatoren die in der Modellierung von optischen Metamaterialien auftauchen und links-indefinite Sturm-Liouville Operatoren.

Flussi e perturbazioni acustiche nei fluidi

Il seguente lavoro di tesi ripercorre la teoria classica della fluidodinamica, dalle leggi di conservazione alla derivazione dell'equazione di Navier-Stokes. Introdotto il numero di Reynolds R e delineate le caratteristiche dei flussi laminari e turbolenti viene posta maggiore attenzione su questi ultimi, derivando le RANS ed esponendo le principali teorie fisiche della turbolenza. Vengono quindi trattate le perturbazioni acustiche, nella loro forma lineare tipica delle radiazioni generate da corpi vibranti e nella forma non-lineare tipica delle radiazioni generate da flussi. Il suono aerodinamico, generato da flussi, è affrontato mediante la teoria di Lighthill, che formula un'analogia tra flussi e mezzi acustici a riposo.

Einzelmolekülspektroskopische Untersuchung von Rylenfarbstoffen zur elektronischen Wechselwirkung in multichromophoren Systemen und zur thermischen Besetzung molekularer Schwingungszustände

Im ersten Teil der Arbeit wurde die Abstandsabhängigkeit des elektronischen Kopplungsverhaltens für eine homologe Reihe von Perylendiimid-Dimeren (PDI-(Ph)x-PDI, x=0-3) mithilfe der Einzelmolekülspektroskopie bei tiefen Temperaturen untersucht. Während für große Abstände überwiegend „schwache“ Kopplung dominierte, wurde für den kleinsten Abstand „starke“ Kopplung gefunden. Im Gegensatz dazu zeigte das p-Phenylen-verbrückte Dimer (x=1) in Abhängigkeit vom untersuchten Molekül ein für beide Grenzfälle typisches Verhalten. Hier entscheidet die Größe der Kopplungsstärke im Vergleich zum statischen Energieunterschied, welcher Kopplungsmechanismus vorliegt. Die homologe Reihe ermöglichte zusätzlich die quantitative Untersuchung der Abstandsabhängigkeit der elektronischen Kopplungsstärke im Grenzfall „schwacher“ Kopplung. Sie konnte direkt aus der zugrunde liegenden Energietransferdynamik ermittelt werden. Der Vergleich mit quantenchemisch berechneten Werten lieferte eine gute Übereinstimmung. Die Abweichung betrug lediglich 20%.rnIm zweiten Teil der Arbeit wurde die thermische Besetzung der Schwingungszustände einzelner Terrylen-Moleküle untersucht. Im elektronischen Grundzustand konnte sie mithilfe von anti-Stokes-Fluoreszenz infolge von „Hot Band“ Absorption nachgewiesen werden. Darüber hinaus wurde Fluoreszenz aus höheren Schwingungszuständen des elektronisch angeregten Zustandes gefunden, die auf „Hot Band“ Emission infolge von thermischer Besetzung zurückgeführt werden konnte. Durch die Kombination von Emissions- und Anregungsspektroskopie konnte die Temperaturabhängigkeit beider Prozesse im Temperaturbereich von 209-311 K untersucht werden. Sie folgt der Boltzmann-Statistik, was eine Temperaturmessung mit einzelnen Molekülen ermöglicht. rn

Testing of subgrid scale (SGS) models for large-eddy simulation (LES) of turbulent channel flow

Sub-grid scale (SGS) models are required in order to model the influence of the unresolved small scales on the resolved scales in large-eddy simulations (LES), the flow at the smallest scales of turbulence. In the following work two SGS models are presented and deeply analyzed in terms of accuracy through several LESs with different spatial resolutions, i.e. grid spacings. The first part of this thesis focuses on the basic theory of turbulence, the governing equations of fluid dynamics and their adaptation to LES. Furthermore, two important SGS models are presented: one is the Dynamic eddy-viscosity model (DEVM), developed by \cite{germano1991dynamic}, while the other is the Explicit Algebraic SGS model (EASSM), by \cite{marstorp2009explicit}. In addition, some details about the implementation of the EASSM in a Pseudo-Spectral Navier-Stokes code \cite{chevalier2007simson} are presented. The performance of the two aforementioned models will be investigated in the following chapters, by means of LES of a channel flow, with friction Reynolds numbers $Re_\tau=590$ up to $Re_\tau=5200$, with relatively coarse resolutions. Data from each simulation will be compared to baseline DNS data. Results have shown that, in contrast to the DEVM, the EASSM has promising potentials for flow predictions at high friction Reynolds numbers: the higher the friction Reynolds number is the better the EASSM will behave and the worse the performances of the DEVM will be. The better performance of the EASSM is contributed to the ability to capture flow anisotropy at the small scales through a correct formulation for the SGS stresses. Moreover, a considerable reduction in the required computational resources can be achieved using the EASSM compared to DEVM. Therefore, the EASSM combines accuracy and computational efficiency, implying that it has a clear potential for industrial CFD usage.

Dinamica dei fluidi

Questo elaborato presenta i principali contenuti della fluidodinamica. Data la vastità dell'argomento, verranno mostrati i tratti essenziali, senza addentrarsi nei dettagli. Il capitolo iniziale introduce il concetto di fluido e i principali metodi di studio. Segue il corpo centrale dell'elaborato, in cui vengono presentate le equazioni fondamentali della dinamica dei fluidi. Successivamente due brevi capitoli si concentrano su una particolare forma dell'equazione del moto e sul tema della vorticità. L'ultimo capitolo tratta brevemente del collasso gravitazionale, una fra le innumerevoli applicazioni della teoria dei fluidi al campo dell'astrofisica. Vettori e tensori verranno rappresentati in coordinate cartesiane e, dove necessario, saranno richiamate in nota le identità utilizzate nei calcoli.

Simulazione di fluidi in Computer Graphics

Questa tesi si focalizza sullo studio dei modelli fisico-matematici attualmente in uso per la simulazione di fluidi al calcolatore con l’obiettivo di fornire nozioni di base e avanzate sull’utilizzo di tali metodi. La trattazione ha lo scopo di facilitare la comprensione dei principi su cui si fonda la simulazione di fluidi e rappresenta una base per la creazione di un proprio simulatore. E’ possibile studiare le caratteristiche di un fluido in movimento mediante due approcci diversi, l’approccio lagrangiano e l’approccio euleriano. Mentre l’approccio lagrangiano ha lo scopo di conoscere il valore, nel tempo, di una qualsiasi proprietà di ciascuna particella che compone il fluido, l’approccio euleriano, fissato uno o più punti del volume di spazio occupato da quest’ultimo, vuole studiare quello che accade, nel tempo, in quei punti. In particolare, questa tesi approfondisce lo studio delle equazioni di Navier-Stokes, approcciandosi al problema in maniera euleriana. La soluzione numerica del sistema di equazioni differenziali alle derivate parziali derivante dalle equazioni sopracitate, approssima la velocità del fluido, a partire dalla quale è possibile risalire a tutte le grandezze che lo caratterizzano. Attenzione viene riservata anche ad un modello facente parte dell’approccio semi-lagrangiano, il Lattice Boltzmann, considerato una via di mezzo tra i metodi puramente euleriani e quelli lagrangiani, che si basa sulla soluzione dell’equazione di Boltzmann mediante modelli di collisione di particelle. Infine, analogamente al metodo di Lattice Boltzmann, viene trattato il metodo Smoothed Particles Hydrodynamics, tipicamente lagrangiano, secondo il quale solo le proprietà delle particelle comprese dentro il raggio di una funzione kernel, centrata nella particella di interesse, influenzano il valore della particella stessa. Un resoconto pratico della teoria trattata viene dato mediante delle simulazioni realizzate tramite il software Blender 2.76b.

America's Shifting Color Line? Reexamining Determinants of Latino Racial Self-Identification

Objectives. Latinos are the nation's largest minority group and will double in size by 2050. Their size coupled with the fact that Latinos do not constitute a separate race raises questions about Latinos' incorporation into the U. S. racial hierarchy. This article explores patterns of Latino racial identity formation, examining the determinants of racial identity. Methods. Using the 2006 Latino National Survey, I estimate multinomial logit and ordered probit models of identification choices. Results. Latino racial identity is strongly associated with several factors, including socioeconomic status, measures of perceived discrimination and commonality, and measures of acculturation/assimilation. Most Latinos have a broader, more complex understanding of race. Furthermore, some Latinos do believe that they occupy a unique position in the racial hierarchy. Conclusions. The results suggest that the color line W. E. DuBois argued has long divided our nation may eventually shift.

Biaxial extensional motion of an inertially driven radially expanding liquid sheet

We consider the inertially driven, time-dependent biaxial extensional motion of inviscid and viscous thinning liquid sheets. We present an analytic solution describing the base flow and examine its linear stability to varicose (symmetric) perturbations within the framework of a long-wave model where transient growth and long-time asymptotic stability are considered. The stability of the system is characterized in terms of the perturbation wavenumber, Weber number, and Reynolds number. We find that the isotropic nature of the base flow yields stability results that are identical for axisymmetric and general two-dimensional perturbations. Transient growth of short-wave perturbations at early to moderate times can have significant and lasting influence on the long-time sheet thickness. For finite Reynolds numbers, a radially expanding sheet is weakly unstable with bounded growth of all perturbations, whereas in the inviscid and Stokes flow limits sheets are unstable to perturbations in the short-wave limit.

Quality Control in the Healthcare Industry: An Analysis of Surgery Turnover Times

For virtually all hospitals, utilization rates are a critical managerial indicator of efficiency and are determined in part by turnover time. Turnover time is defined as the time elapsed between surgeries, during which the operating room is cleaned and preparedfor the next surgery. Lengthier turnover times result in lower utilization rates, thereby hindering hospitals’ ability to maximize the numbers of patients that can be attended to. In this thesis, we analyze operating room data from a two year period provided byEvangelical Community Hospital in Lewisburg, Pennsylvania, to understand the variability of the turnover process. From the recorded data provided, we derive our best estimation of turnover time. Recognizing the importance of being able to properly modelturnover times in order to improve the accuracy of scheduling, we seek to fit distributions to the set of turnover times. We find that log-normal and log-logistic distributions are well-suited to turnover times, although further research must validate this finding. Wepropose that the choice of distribution depends on the hospital and, as a result, a hospital must choose whether to use the log-normal or the log-logistic distribution. Next, we use statistical tests to identify variables that may potentially influence turnover time. We find that there does not appear to be a correlation between surgerytime and turnover time across doctors. However, there are statistically significant differences between the mean turnover times across doctors. The final component of our research entails analyzing and explaining the benefits of introducing control charts as a quality control mechanism for monitoring turnover times in hospitals. Although widely instituted in other industries, control charts are notwidely adopted in healthcare environments, despite their potential benefits. A major component of our work is the development of control charts to monitor the stability of turnover times. These charts can be easily instituted in hospitals to reduce the variabilityof turnover times. Overall, our analysis uses operations research techniques to analyze turnover times and identify manners for improvement in lowering the mean turnover time and thevariability in turnover times. We provide valuable insight into a component of the surgery process that has received little attention, but can significantly affect utilization rates in hospitals. Most critically, an ability to more accurately predict turnover timesand a better understanding of the sources of variability can result in improved scheduling and heightened hospital staff and patient satisfaction. We hope that our findings can apply to many other hospital settings.