Eldorado - Repositorium der TU Dortmund

Ressourcen aus und für Forschung, Lehre und Studium

Bei diesem Service handelt es sich um das Institutionelle Repositorium der Technischen Universität Dortmund. Hier werden Ressourcen aus und für Lehre, Studium und Forschung gespeichert, erschlossen und der Öffentlichkeit zugänglich gemacht.

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Aktuellste Veröffentlichungen

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    Efficient Geometry Representation Strategies for the Shape Optimization of Profile Extrusion Dies
    (2026-09) Sasse, Jana; Esser, Maximilian; Mügge, Markus; Turek, Stefan
    The design of profile extrusion dies remains a challenging task due to the complex rheological behavior of polymer melts and the geometric intricacies of flow channels. Traditional manual optimization approaches, which rely heavily on human experience, are inefficient and often employ unvalidated heuristics. To address these challenges, we present a deterministic and explainable framework for automatic die design based on adjoint-based shape optimization. This approach enables the computation of sensitivities that directly indicate beneficial modifications to the flow channel geometry. A major difficulty in such optimization processes lies in generating boundary-conforming meshes that evolve consistently with changing geometries. To overcome this issue, we employ non-boundary conforming geometry representation methods that eliminate the need for an explicit surface representation along physical boundaries. A dedicated reconstruction technique is developed to recover accurate sensitivity information at the virtual interface between fluid and solid regions. The proposed algorithm is demonstrated on 3D geometries with varying complexity, including realistic extrusion die flow channels. Several objective functionals relevant to industrial applications, such as flow balance at the outflow, are considered. The results highlight significant improvements in performance metrics while maintaining numerical robustness. This work showcases the potential of adjoint-based techniques for automated die design in a domain still largely governed by manual trial-and-error procedures, establishing a foundation for data-efficient, sustainable manufacturing workflows using computational rheology.
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    Oscar’s Grind Betting at Roulette
    (2026-08-15) Pflaumer, Peter Oskar
    Oscar’s Grind is a positive-progression betting system often perceived as a low-risk alternative to strategies such as the Martingale, owing to its conservative rules: the wager increases by only one unit after a win and remains unchanged after a loss. This paper critically evaluates the mathematical viability and long-term performance of Oscar’s Grind for even-money roulette bets, using analytical arguments and extensive Monte Carlo simulation. Results demonstrate that, despite frequent small wins and gradual progress, the system cannot overcome the house edge: long-term expected losses remain negative, and the probability of a loss after multiple sessions approaches certainty. Oscar’s Grind thus provides psychological appeal but no mathematical advantage, illustrating that gradual, conservative bets reduce short-term fluctuations but do not alter the long-term expected loss and the gambler's fallacy.
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    Present Value of Random Walks
    (2026-07-23) Jöckel, Karl-Heinz; Pflaumer, Peter
    This paper analyzes how random walks in cash flows affect Present Value (PV). We derive variance formulas for discounted and undiscounted sums under random disturbances, including special cases for infinite horizons. Applied to Nevada Blackjack monthly hold data (2004–2024), the framework illustrates how stochastic fluctuations impact valuation and investment risk assessment.
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    Diversitätsembleme als individualisierte Visualisierungsform persönlicher Daten im Sinne des Datenhumanismus
    (2023) Delucchi Danhier, Renate
    Data emblems are personalized graphic representations of personal information. These have gained popularity in recent years, especially on the Internet. This paper presents digital emblems specifically designed to represent individuals working in the field of diversity studies. The paper explains what information has been pivtorally encoded in the emblems, the variables operationalized, the design decisions, and possible uses of the emblems. The personalized emblems are designed according to a predefined visual system that depicts the personal background as well as information about the academic career of the individual. The contribution of the paper is not the analysis of the data but rather a discussion of the design process of the visualization. The overall goal of the project is not to rank or quantify scientists or their work, like a publimetric project would do, but to design identity. Readers are invited to reflect on how personal characteristics may affect research in the field of diversity studies.
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    Amtliche Mitteilungen der Technischen Universität Dortmund Nr. 24/2026
    (Technische Universität Dortmund, 2026-10-07)