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There is a very large number of very important situations which can be modeled with nonlinear parabolic partial differential equations (PDEs) in several dimensions. In general, these PDEs can be solved by discretizing in the spatial variables and transforming them into huge systems of ordinary differential equations (ODEs), which are very stiff. Therefore, standard explicit methods require a large number of iterations to solve stiff problems. But implicit schemes are computationally very expensive when solving huge systems of nonlinear ODEs. Several families of Extrapolated Stabilized Explicit Runge-Kutta schemes (ESERK) with different order of accuracy (3 to 6) are derived and analyzed in this work. They are explicit methods, with stability regions extended, along the negative real semi-axis, quadratically with respect to the number of stages s, hence they can be considered to solve stiff problems much faster than traditional explicit schemes. Additionally, they allow the adaptation of the step length easily with a very small cost.
Two new families of ESERK schemes (ESERK3 and ESERK6) are derived, and analyzed, in this work. Each family has more than 50 new schemes, with up to 84.000 stages in the case of ESERK6. For the first time, we also parallelized all these new variable step length and variable number of stages algorithms (ESERK3, ESERK4, ESERK5, and ESERK6). These parallelized strategies allow to decrease times significantly, as it is discussed and also shown numerically in two problems. Thus, the new codes provide very good results compared to other well-known ODE solvers. Finally, a new strategy is proposed to increase the efficiency of these schemes, and it is discussed the idea of combining ESERK families in one code, because typically, stiff problems have different zones and according to them and the requested tolerance the optimum order of convergence is different.
Solution of plane anisotropic elastostatical boundary value problems by singular integral equations
(1982)
In den letzten Jahren haben in Deutschland mehrere Bundesländer Studiengebühren eingeführt. Seitdem wird in der Politik heftig über das Für und Wider diskutiert. Von den Gegnern wird häufig das Argument vorgebracht, Studiengebühren seien sozial ungerecht und würden insbesondere einkommensschwache Bevölkerungsschichten von einem Studium abhalten. Bestätigt werden sie von den Zahlen aus Umfragen, denen zufolge über 70 Prozent derjenigen, die sich gegen ein Studium entscheiden, finanzielle Gründe für einen Studienverzicht anführen. Befürworter halten dem entgegen, Studiengebühren seien angesichts knapper öffentlicher Kassen unbedingt notwendig, da nur so die Qualität der Lehre aufrechterhalten bzw. verbessert werden könne. Zudem würden Studiengebühren die sozialen Bildungsbarrieren keineswegs erhöhen, was auch daran erkennbar sei, dass infolge der Studiengebühren die Zahl der Studierenden nicht zurückgegangen ist. Der vorliegende Artikel leistet einen Beitrag zu dieser Debatte, indem er die an einer Hochschule in Nordrhein-Westfalen gesammelten Erfahrungen mit Studiengebühren auswertet
Solidification of silver-germanium alloys in an amorphous matrix aboard the space station Mir
(1993)
Solarthermische Kraftwerke stellen eine bedeutende Technologieoption für einen nachhaltigen Energiemix der Zukunft dar. Sie konzentrieren die Strahlung der Sonne, erzeugen Wärme und wandeln diese mit konventioneller Kraftwerkstechnik in Strom um. Die Wärme kann auch gespeichert werden, so dass der Betrieb während des Durchzugs von Wolken möglich ist und bis in die Abendstunden hinein verlängert werden kann. Zu den solarthermischen Kraftwerken gehören neben der Parabolrinne und dem Solarturm der Fresnel-Kollektor und die Dish-Stirling-Systeme. Im Zuge einer späteren Vergrößerung des Solarfeldes von Solarkraftwerken kann mithilfe von thermischen Energiespeichern die solare Energieerzeugung bei gleichbleibender Kraftwerksleistung sukzessiv bis um den Faktor 3 erweitert werden. Es besteht so die Möglichkeit einer massiven Substitution von fossilen Brennstoffen.Bei den ersten solarthermischen Speichern für die SEGS-Parabolrinnekraftwerke wurde Öl als Speichermedium eingesetzt. Ein weiteres Speichermedium ist Salzschmelze, die im Andasol-1-Projekt in Spanien sowie bei Solarturmkraftwerken eingesetzt wird. Beton ist ein weiteres mögliches Speichermaterial für Parabolrinnensysteme. Eine weitere Alternative bei einem Solarturmkraftwerk mit Luft als Wärmeträgermedium ist die Verwendung von keramischen Feuerfestmaterialien in Form von Schüttungen oder stapelbaren, porösen Elementen. In Jülich wurde das weltweit erste solarthermische Turmkraftwerk mit einer Leistung von 1,5 MWe, das Luft als Wärmeträgermedium einsetzt und einen solchen Speicher verwendet, gebaut.
Solares Kochen
(1990)
The scientific interest for near-Earth asteroids as well as the interest in potentially hazardous asteroids from the perspective of planetary defense led the space community to focus on near-Earth asteroid mission studies. A multiple near-Earth asteroid rendezvous mission with close-up observations of several objects can help to improve the characterization of these asteroids. This work explores the design of a solar-sail spacecraft for such a mission, focusing on the search of possible sequences of encounters and the trajectory optimization. This is done in two sequential steps: a sequence search by means of a simplified trajectory model and a set of heuristic rules based on astrodynamics, and a subsequent optimization phase. A shape-based approach for solar sailing has been developed and is used for the first phase. The effectiveness of the proposed approach is demonstrated through a fully optimized multiple near-Earth asteroid rendezvous mission. The results show that it is possible to visit five near-Earth asteroids within 10 years with near-term solar-sail technology.
Solar Sails for Near- and Medium-Term Scientific Deep Space Missions / W. Sebolt ; B. Dachwald
(2005)
Solar sailcraft of the first generation technology development / Seboldt, Wolfgang ; Dachwald, Bernd
(2003)
Solar Sail Trajectory Optimization for Intercepting, Impacting, and Deflecting Near-Earth Asteroids
(2005)
Solar Sail Kinetic Energy Impactor Trajectory Optimization for an Asteroid-Deflection Mission
(2007)
The cost of solar tower power plants is dominated by the heliostat field making up roughly 50% of investment costs. Classical heliostat design is dominated by mirrors brought into position by steel structures and drives that guarantee high accuracies under wind loads and thermal stress situations. A large fraction of costs is caused by the stiffness requirements of the steel structure, typically resulting in ~ 20 kg/m² steel per mirror area. The typical cost figure of heliostats (figure mentioned by Solucar at Solar Paces Conference, Seville, 2006) is currently in the area of 150 €/m² caused by the increasing price of the necessary raw materials. An interesting option to reduce costs lies in a heliostat design where all moving parts are protected from wind loads. In this way, drives and mechanical layout may be kept less robust, thereby reducing material input and costs. In order to keep the heliostat at an appropriate size, small mirrors (around 10x10 cm²) have to be used, which are placed in a box with a transparent cover. Innovative drive systems are developed in order to obtain a cost-effective design. A 0,5x0,5 m² demonstration unit will be constructed. Tests of the unit are carried out with a high-precision artificial sun unit that imitates the sun’s path with an accuracy of less than 0.5 mrad and creates a beam of parallel light with a divergence of less than 4 mrad.
Soft Materials in Technology and Biology – Characteristics, Properties, and Parameter Identification
(2008)
Socio-technical scenarios for energy-intensive industries: the future of steel production in Germany
(2019)
Smartphone Forensik
(2012)
Slot die coating is applied to deposit thin and homogenous films in roll-to-roll and sheet-to-sheet applications. The critical step in operation is to choose suitable process parameters within the process window. In this work, we investigate an upper limit for stripe coatings. This maximum film thickness is characterized by stripe merging which needs to be avoided in a stable process. It is shown that the upper limit reduces the process window for stripe coatings to a major extent. As a result, stripe coatings at large coating gaps and low viscosities are only possible for relatively thick films. Explaining the upper limit, a theory of balancing the side pressure in the gap region in the cross-web direction has been developed.
Superparamagnetic iron oxide nanoparticles (SPION) are extensively used for magnetic resonance imaging (MRI) and magnetic particle imaging (MPI), as well as for magnetic fluid hyperthermia (MFH). We here describe a sequential centrifugation protocol to obtain SPION with well-defined sizes from a polydisperse SPION starting formulation, synthesized using the routinely employed co-precipitation technique. Transmission electron microscopy, dynamic light scattering and nanoparticle tracking analyses show that the SPION fractions obtained upon size-isolation are well-defined and almost monodisperse. MRI, MPI and MFH analyses demonstrate improved imaging and hyperthermia performance for size-isolated SPION as compared to the polydisperse starting mixture, as well as to commercial and clinically used iron oxide nanoparticle formulations, such as Resovist® and Sinerem®. The size-isolation protocol presented here may help to identify SPION with optimal properties for diagnostic, therapeutic and theranostic applications.
Size unlimited markerless deletions by a transconjugative plasmid-system in Bacillus licheniformis
(2013)
Sisyphus wird Steiff
(2010)