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Title: Efficient and accurate evaluation of aggregation integrals in population balance equations
Language: English
Authors: Shahmuradyan, Lusine 
Issue Date: 2017
Examination Date: 31-Mar-2017
Abstract (german): Anwendungen von Populationsbilanzgleichungen finden sich in vielen chemischen Produktionsprozessen wie z.B. Kristallisation oder Herstellung von Pharmazeutika. In solchen Gleichungen wird ein Aggregationsprozess durch Quellen- und Senkenintegrale beschrieben. Die numerische Auswertung des Quellenintegrals ist gewöhnlich von quadratischer Ordnung. In dieser Dissertation fokussieren wir uns auf die effiziente Auswertung solcher Aggregationsintegrale und reduzieren die Komplexität auf quasilineare. Wir liefern zahlreiche numerische Tests für verschiedene Anfangswerte, die (heuristische) Strategien zur Wahl der Diskretisierungsparameter liefern.
Abstract (english): Applications of population balance equations can be found in many chemical production processes, e.g, crystallization and precipitation of pharmaceutical materials. In population balance equations the aggregation process is described by source and sink aggregation integrals. The source aggregation integral is usually numerically expensive to evaluate having quadratic complexity. In this thesis we focus on the efficient and accurate evaluation of aggregation integrals, reducing this complexity to almost linear. We also include extensive numerical tests for different setups, leading to (heuristic) strategies for the choice of the discretization parameters.
DOI: 10.15480/882.1390
Institute: Mathematik E-10 
Type: Dissertation
Advisor: Le Borne, Sabine 
Referee: John, Volker 
License: In Copyright In Copyright
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