Table 2 Parameters for our simulations.

From: Enhanced droplet collision rates and impact velocities in turbulent flows: The effect of poly-dispersity and transient phases

Dimension

N

N p

ν

k inj

η

k max η

λ

Re λ

τ η (τ min)

3D

512

106

0.001

1 and 2

0.0059

1.01

0.0856

121

0.0351

2D

1024

105

10−5

4

0.0044

1.50

0.20

440

1.92

  1. N is the number of grid points along each direction, N p is the number of Lagrangian and heavy inertial particles, ν the kinematic viscosity, ε is the fixed energy input, k inj the forcing wavenumber, η ≡ (ν 3/ε)1/4 the dissipation scale, \(\lambda \equiv \sqrt{\nu E/\varepsilon }\) the Taylor microscale, Re λ  ≡ u rms λ/ν the Taylor-microscale Reynolds number, and \({\tau }_{\eta }\equiv \sqrt{\nu /\varepsilon }\) the Kolmogorov time scale. The analogous definiton for 2D flows is given in the text.
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