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Characteristics-based Simulink Implementation of First-order Quasilinear Partial Differential Equations

Ponomarev, Anton; Hofmann, Julian; Gröll, Lutz

Abstract:
The paper deals with solving first-order quasilinear partial differential equations in an online simulation environment, such as Simulink, utilizing the well-known and well-recommended method of characteristics. Compared to the commonly applied space discretization methods on static grids, the characteristics-based approach provides better numerical stability. Simulink subsystem implementing the method of characteristics is developed. It employs Simulink’s built-in solver and its zero-crossing detection algorithm to perform simultaneous integration of a pool of characteristics as well as to create new characteristics dynamically and discard the old ones. Numerical accuracy of the solution thus obtained is established. The subsystem has been tested on a full-state feedback example and produced better results than the space discretization-based “method of lines”. The implementation is available for download and can be used in a wide range of models

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Verlagsausgabe §
DOI: 10.5445/IR/1000122368
Veröffentlicht am 05.08.2020
Originalveröffentlichung
DOI: 10.5220/0009569001390146
Dimensions
Zitationen: 1
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Automation und angewandte Informatik (IAI)
Publikationstyp Proceedingsbeitrag
Publikationsjahr 2020
Sprache Englisch
Identifikator ISBN: 978-989-758-444-2
KITopen-ID: 1000122368
HGF-Programm 37.06.01 (POF III, LK 01) Networks and Storage Integration
Erschienen in Proceedings of the 10th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. Ed.: F. De Rango
Veranstaltung 10th International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2020), Online, 08.07.2020 – 10.07.2020
Verlag SciTePress
Seiten 139–146
Bemerkung zur Veröffentlichung Die Veranstaltung fand wegen der Corona-Pandemie als Online-Event statt
Schlagwörter Partial Differential Equations, Simulink, Transport, Convection, Method of Characteristics
Nachgewiesen in Dimensions
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