Relevance of the Basset history term for Lagrangian particle dynamics
Research output: Journal contributions › Journal articles › Research › peer-review
Standard
In: Chaos, Vol. 35, No. 7, 073122, 01.07.2025.
Research output: Journal contributions › Journal articles › Research › peer-review
Harvard
APA
Vancouver
Bibtex
}
RIS
TY - JOUR
T1 - Relevance of the Basset history term for Lagrangian particle dynamics
AU - Urizarna-Carasa, Julio
AU - Ruprecht, Daniel
AU - von Kameke, Alexandra
AU - Padberg-Gehle, Kathrin
N1 - In Special Collection: Nonautonomous Dynamical Systems: Theory, Methods, and Applications Publisher Copyright: © 2025 Author(s).
PY - 2025/7/1
Y1 - 2025/7/1
N2 - The movement of small but finite spherical particles in a fluid can be described by the Maxey–Riley equation (MRE) if they are too large to be considered passive tracers. The MRE contains an integral “history term” modeling wake effects, which cause the force acting on a particle at some given time to depend on its full past trajectory. The history term causes complications in the numerical solution of the MRE and is, therefore, often neglected, despite both numerical and experimental evidence that its effects are generally not negligible. By numerically computing trajectories with and without the history term of a large number of particles in different flow fields, we investigate its impact on the large-scale Lagrangian dynamics of simulated particles. We show that for moderate to large Stokes numbers, ignoring the history term leads to significant differences in clustering patterns. Furthermore, we compute finite-time Lyapunov exponents and show that, even for small particles, the differences in the resulting scalar field when ignoring the Basset history term can be significant, in particular, if the underlying flow is turbulent.
AB - The movement of small but finite spherical particles in a fluid can be described by the Maxey–Riley equation (MRE) if they are too large to be considered passive tracers. The MRE contains an integral “history term” modeling wake effects, which cause the force acting on a particle at some given time to depend on its full past trajectory. The history term causes complications in the numerical solution of the MRE and is, therefore, often neglected, despite both numerical and experimental evidence that its effects are generally not negligible. By numerically computing trajectories with and without the history term of a large number of particles in different flow fields, we investigate its impact on the large-scale Lagrangian dynamics of simulated particles. We show that for moderate to large Stokes numbers, ignoring the history term leads to significant differences in clustering patterns. Furthermore, we compute finite-time Lyapunov exponents and show that, even for small particles, the differences in the resulting scalar field when ignoring the Basset history term can be significant, in particular, if the underlying flow is turbulent.
KW - Mathematics
KW - Lyapunov exponent
KW - Dynamical systems
KW - Lagrangian mechanics
KW - Integro-differential eguation
KW - Flow visualization
KW - Fluid flows
KW - Laminar flows
KW - Turbulent flows
KW - Fluid force
UR - http://www.scopus.com/inward/record.url?scp=105010533851&partnerID=8YFLogxK
U2 - 10.1063/5.0225926
DO - 10.1063/5.0225926
M3 - Journal articles
C2 - 40637573
VL - 35
JO - Chaos
JF - Chaos
SN - 1054-1500
IS - 7
M1 - 073122
ER -