Dokument: Numerical discretisation of hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles
| Titel: | Numerical discretisation of hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles | |||||||
| URL für Lesezeichen: | https://docserv.uni-duesseldorf.de/servlets/DocumentServlet?id=67631 | |||||||
| URN (NBN): | urn:nbn:de:hbz:061-20241121-122118-5 | |||||||
| Kollektion: | Publikationen | |||||||
| Sprache: | Englisch | |||||||
| Dokumententyp: | Wissenschaftliche Texte » Artikel, Aufsatz | |||||||
| Medientyp: | Text | |||||||
| Autoren: | Dahm, Sina [Autor] Giesselmann, Jan [Autor] Helzel, Christiane [Autor] | |||||||
| Dateien: |
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| Beschreibung: | We present a numerical discretisation of the coupled moment systems, previously introduced in Dahm and Helzel [1], which approximate the kinetic-fluid model by Helzel and Tzavaras [2] for sedimentation in suspensions of rod-like particles for a two-dimensional flow problem and a shear flow problem. We use a splitting ansatz which, during each time step, separately computes the update of the macroscopic flow equation and
of the moment system. The proof of the hyperbolicity of the moment systems in [1] suggests solving the moment systems with standard numerical methods for hyperbolic problems, like LeVeque’s Wave Propagation Algorithm [3]. The number of moment equations used in the hyperbolic moment system can be adapted to locally varying flow features. An error analysis is proposed, which compares the approximation with 2𝑁 + 1 moment equations to an approximation with 2𝑁 +3 moment equations. This analysis suggests an error indicator which can be computed from the numerical approximation of the moment system with 2𝑁 +1 moment equations. In order to use moment approximations with a different number of moment equations in different parts of the computational domain, we consider an interface coupling of moment systems with different resolution. Finally, we derive a conservative high-resolution Wave Propagation Algorithm for solving moment systems with different numbers of moment equations | |||||||
| Rechtliche Vermerke: | Originalveröffentlichung:
Dahm, S., Giesselmann, J., & Helzel, C. (2024). Numerical discretisation of hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles. Journal of Computational Physics, 513, Article 113162. https://doi.org/10.1016/j.jcp.2024.113162 | |||||||
| Lizenz: |  Dieses Werk ist lizenziert unter einer Creative Commons Namensnennung 4.0 International Lizenz | |||||||
| Fachbereich / Einrichtung: | Mathematisch- Naturwissenschaftliche Fakultät | |||||||
| Dokument erstellt am: | 21.11.2024 | |||||||
| Dateien geändert am: | 21.11.2024 |
