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Updated: May 11, 2026
13:02
Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Optimal interpolation schemes for particle tracking in turbulence.
M A T van Hinsberg1, J H M ten Thije Boonkkamp, F Toschi
1Department of Physics, Eindhoven University of Technology, PO Box 513, 5600MB Eindhoven, The Netherlands. M.A.T.v.Hinsberg@tue.nl
Summary
Choosing the right interpolation method is key for accurate particle-laden turbulent flow simulations. B-spline interpolation offers the best accuracy for computational cost, as demonstrated by direct numerical simulations (DNS).
Area of Science:
- Fluid dynamics
- Computational physics
- Turbulence modeling
Background:
- Accurate interpolation of flow fields is crucial for Lagrangian trajectory computations in particle-laden turbulent flows.
- Interpolation accuracy directly impacts particle acceleration spectra and hydrodynamic force evaluation, especially for neutrally buoyant particles in environmental flows.
Purpose of the Study:
- To systematically compare interpolation and discretization errors to optimize the trade-off between accuracy and computational cost in turbulent flow simulations.
- To propose a practical method for estimating interpolation and discretization errors using the energy spectrum.
Main Methods:
- Direct numerical simulations (DNS) of homogeneous, isotropic turbulence were performed using a spectral code.
- Fluid tracer trajectories were computed using various interpolation methods.
- Interpolation and discretization errors were analyzed in relation to the energy spectrum.
Main Results:
- B-spline interpolation demonstrated superior accuracy relative to its computational cost.
- A method for direct estimation of interpolation and discretization errors from the energy spectrum was developed and validated.
- Optimal interpolation orders for different methods were determined as a function of DNS resolution.
Conclusions:
- The proposed error estimation method allows for informed selection of interpolation techniques, preventing unnecessary computations while maintaining simulation accuracy.
- B-spline interpolation is recommended for particle-laden turbulent flow simulations due to its favorable accuracy-to-cost ratio.
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