A Python toolbox for the numerical solution of the Maxey-Riley equation

Research output: Journal contributionsConference article in journalResearchpeer-review

Authors

The Maxey-Riley equation (MRE) models the motion of a finite-sized, spherical particle in a fluid. It is a second-order integro-differential equation with a kernel with a singularity at initial time. Because solving the integral term is numerically challenging, it is often neglected despite its often non-negligible impact. Recently, Prasath et al. showed that the MRE can be rewritten as a time-dependent heat equation on a semi-infinite domain with a nonlinear, Robin-type boundary condition. This approach avoids the need to deal with the integral term. They also describe a numerical approach for solving the transformed MRE based on Fokas method. We provide a Python toolbox implementing their approach, verify it against some of their numerical examples and demonstrate its flexibility by computing the trajectory of a particle in a velocity field given by experimental data.
Original languageEnglish
Article numbere202200242
JournalProceedings in applied mathematics and mechanics
Volume22
Issue number1
Number of pages6
ISSN1617-7061
DOIs
Publication statusPublished - 01.03.2023
Event92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM 2022 - RWTH Aachen Universität, Aachen, Germany
Duration: 15.08.202219.08.2022
Conference number: 92
https://jahrestagung.gamm-ev.de/annual-meeting-2022/annual-meeting/

Bibliographical note

© 2023 The Authors. Proceedings in Applied Mathematics & Mechanicspublished by Wiley-VCH GmbH

DOI

Recently viewed

Publications

  1. A Method to Enhance the Accuracy of Time of Flight Measurement Systems
  2. A family of exceptional parameters for non-uniform self-similar measures
  3. A Critical Perspective on the Measurement of Social Value Through SROI
  4. Zur Verlaufstruktur der psychischen Auswirkungen von Arbeitslosigkeit
  5. Wie können mündliche Sprachprozesse für das Schreiben genutzt werden?
  6. Transitorische Normen in einer entwicklungssensitiven Schreibdidaktik
  7. The Low-Code Phenomenon: Mapping the Intellectual Structure of Research
  8. The European electricity and climate policy - Complement or substitute?
  9. Price Gouging at the Pump? The Lerner Index and the German Fuel Market
  10. Konferenzethnologische Anmerkungen und Überlegungen zur Sweet Science
  11. Klimaanpassung – (k)ein Thema in umweltrelevanten Bildungsorganisationen?
  12. Intersection tests for the cointegrating rank in dependent panel data
  13. Inhalte der Umweltverträglichkeitsuntersuchung bei Offshore Windparks
  14. Eine Schulleistungsstudie der IEA und ihre internationale Erweiterung
  15. Do better pre-migration skills accelerate immigrants’ wage assimilation?
  16. Control of Permanent Magnet Synchronous Motors for Track Applications
  17. Bewertungsmethodik für die Wandlungsfähigkeit von Produktionssystemen
  18. What determines PCB concentrations in soils in rural and urban areas?
  19. Transdisciplinary case studies as a means of sustainability learning
  20. Stützlehrer als neuer pädagogischer Profi in der Beruflichen Bildung.
  21. Spaces for challenging experiences, indeterminacy, and experimentation
  22. Settingbezogene Prävention von Übergewicht im Kindes- und Jugendalter
  23. School leadership and achievement gaps based on socioeconomic status
  24. Polizei und Rassismus: Konsolidierung eines neuen Forschungsbereiches?
  25. Logistical futures the chinese dream, debordering labor, and migration
  26. Leuphana startet Wissenstransfer für unternehmerische Nachhaltigkeit
  27. Lernen durch ökonomische Aktivität: Der experimentierende Monopolist
  28. Lags in the response of mountain plant communities to climate change
  29. Individuelle Beteiligung am Unterrichtsgespräch in Grundschulklassen
  30. Five priorities to advance transformative transdisciplinary research
  31. Entrepreneurship in conventions, place-making, and spaces of creativity
  32. Empirical Studies with Micro-Data from Official Statistics in Germany
  33. Empirical Research on Corporate Social Responsibility Assurance (CSRA)
  34. Digital Health Literacy and Information-Seeking in the Era of COVID-19
  35. Die Zuverlässigkeit von Bereitstellungszinsen bei Immobiliardarlehen
  36. Denn sie wissen nicht, was sie tun - Anmerkungen zur Leistungsgarantie
  37. Das Planspiel als Lern- und Forschungsfeld in der Risikokommunikation
  38. Biodegradability of organic nanoparticles in the aqueous environment
  39. Bedingungsfaktoren der Studienzufriedenheit von Lehramtsstudierenden
  40. A klímaváltozás és a bioüzemanyag előállítás összefüggései Magyarországon
  41. What has gone wrong with application development? Who is the culprit?
  42. The First 50 Contributions to the Data Observer Series - An Overview
  43. Studiengang "Master in Auditing" an der Leuphana Universität Lüneburg
  44. Simulation of composite hot extrusion with high reinforcing Volumes
  45. Post Hoc Assessment of Stand Structure Across European Wood-Pastures
  46. Orchestrating distributed data governance in open social innovation
  47. Notions of justice held by stakeholders of the Newfoundland fishery