Oseen Tensor — Hydrodynamic Interactions
Long-range fluid-mediated coupling between particles via Stokeslet velocity fields
Controls
Particles N
5
Viscosity η
1.0
Force scale F
1.0
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Velocity
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Oseen tensor:
T_ij = (δ_ij + r̂r̂_ij) / (8πηr)
v_i = Σ_j T_ij · F_j
Stokes drag: F = 6πηa·v
Range ∝ 1/r — truly long-range!
Fluid velocity field + particle trajectories