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Efficient numerical implementations for the Maxey-Riley-Gatignol Equation
Citation Link: https://doi.org/10.15480/882.16156
Publikationstyp
Doctoral Thesis
Date Issued
2025
Sprache
English
Author(s)
Advisor
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2025-07-24
Institute
TORE-DOI
Citation
Technische Universtität Hamburg (2025)
As a second-order, implicit integro-differential equation with singular kernel at initial time, the resolution of the Maxey-Riley-Gatignol Equation (MRGE) presented many challenges. This thesis presents new Finite Difference methods (FDM) based on the reformulation stated in Prasath et al. (2019), where the MRGE is reformulated as a boundary condition of the 1D Heat equation. The performance of the FDM are compared against existing schemes for six flow fields, providing advice on when each method performs best. The influence of the Basset History Term is studied on particle trajectories, clusters and Lagrangian Coherent Structures, delivering guidelines on when it can be omitted.
Subjects
Inertial particles
Maxey-Riley-Gatignol equations
finite differences for unbounded domains
Finite-Time Lyapunov Exponents
Lagrangian dynamics
DDC Class
530: Physics
518: Numerical Analysis
515: Analysis
Funding Organisations
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Name
Urizarna-Carasa_Julio_Efficient-numerical-implementations-for-the-Maxey-Riley-Gatignol-Equation.pdf
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19.24 MB
Format
Adobe PDF