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

Publikation: Beiträge in ZeitschriftenKonferenzaufsätze in FachzeitschriftenForschungbegutachtet

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.
OriginalspracheEnglisch
Aufsatznummere202200242
ZeitschriftProceedings in applied mathematics and mechanics
Jahrgang22
Ausgabenummer1
Anzahl der Seiten6
ISSN1617-7061
DOIs
PublikationsstatusErschienen - 01.03.2023
Veranstaltung92. Jahrestagung der Gesellschaft für angewandte Mathematik und Mechanik - RWTH Aachen Universität, Aachen, Deutschland
Dauer: 15.08.202219.08.2022
Konferenznummer: 92
https://jahrestagung.gamm-ev.de/annual-meeting-2022/annual-meeting/

DOI

Zuletzt angesehen

Publikationen

  1. Joint entity and relation linking using EARL
  2. Human–learning–machines: introduction to a special section on how cybernetics and constructivism inspired new forms of learning
  3. A Wavelet Packet Tree Denoising Algorithm for Images of Atomic-Force Microscopy
  4. Introducing parametric uncertainty into a nonlinear friction model
  5. Finding Similar Movements in Positional Data Streams
  6. A change of values is in the air
  7. Integrating Mobile Devices into AAL-Environments using Knowledge based Assistance Systems
  8. Integrating errors into the training process
  9. Modeling Effective and Ineffective Knowledge Communication and Learning Discourses in CSCL with Hidden Markov Models
  10. Parking space management through deep learning – an approach for automated, low-cost and scalable real-time detection of parking space occupancy
  11. Analysis of Complexity Reduction in Kalman Filters Through Decoupling Control With Chattered Inputs in PMSM
  12. Lyapunov stability analysis to set up a PI controller for a mass flow system in case of a non-saturating input
  13. Volume of Imbalance Container Prediction using Kalman Filter and Long Short-Term Memory
  14. Problem structuring for transitions
  15. Patching Together a Global Script
  16. The delay vector variance method and the recurrence quantification analysis of energy markets
  17. Multidimensional Cross-Recurrence Quantification Analysis (MdCRQA)–A Method for Quantifying Correlation between Multivariate Time-Series
  18. Using cross-recurrence quantification analysis to compute similarity measures for time series of unequal length with applications to sleep stage analysis
  19. Spatial mislocalization as a consequence of sequential coding of stimuli
  20. Data-Generating Mechanisms Versus Constructively Defined Latent Variables in Multitrait–Multimethod Analysis:
  21. Stepwise-based optimizing approaches for arrangements of loudspeaker in multi-zone sound field reproduction
  22. Scaffolding argumentation in mathematics with CSCL scripts