Media Summary: Same as the colour version but in black and white so the tracer particles don't fade away as the induced velocity magnitude ... Re = 1e5 180 particles on each ring. Dimensionless inputs: Radius of each ring = 1.0 Circulation ( Γ) = 1.0 dt = 0.1. Additional results from Narain et al., "A Second-Order Advection-Reflection Solver", 2019

Leapfrogging Vortices Simulation - Detailed Analysis & Overview

Same as the colour version but in black and white so the tracer particles don't fade away as the induced velocity magnitude ... Re = 1e5 180 particles on each ring. Dimensionless inputs: Radius of each ring = 1.0 Circulation ( Γ) = 1.0 dt = 0.1. Additional results from Narain et al., "A Second-Order Advection-Reflection Solver", 2019 For a detailed description of how this was made, please visit the video showing the un-perturbed case. The initial conditions are ...

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Leapfrogging vortices simulation
Leapfrogging vortices (B&W)
Head-on Collision of Vortex Rings (Comparison)
LeapFroggingVortexRings.mp4
Leapfrogging vortex rings
Leapfrogging of vortex rings simulated using the vortex particle method
Leapfrogging Vortex Rings
Leapfrogging Helical Vortices
Vortex rings - CFD Simulation with OpenFOAM
Leapfrogging vortex rings
Leapfrogging vortices with small perturbation
Head-on collision of vortex rings w/ small axis shift
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Leapfrogging vortices simulation

Leapfrogging vortices simulation

Four

Leapfrogging vortices (B&W)

Leapfrogging vortices (B&W)

Same as the colour version but in black and white so the tracer particles don't fade away as the induced velocity magnitude ...

Head-on Collision of Vortex Rings (Comparison)

Head-on Collision of Vortex Rings (Comparison)

The

LeapFroggingVortexRings.mp4

LeapFroggingVortexRings.mp4

Leapfrogging

Leapfrogging vortex rings

Leapfrogging vortex rings

Leapfrogging vortex rings

Leapfrogging of vortex rings simulated using the vortex particle method

Leapfrogging of vortex rings simulated using the vortex particle method

Re = 1e5 180 particles on each ring. Dimensionless inputs: Radius of each ring = 1.0 Circulation ( Γ) = 1.0 dt = 0.1.

Leapfrogging Vortex Rings

Leapfrogging Vortex Rings

In this video, I model the

Leapfrogging Helical Vortices

Leapfrogging Helical Vortices

Leapfrogging

Vortex rings - CFD Simulation with OpenFOAM

Vortex rings - CFD Simulation with OpenFOAM

Vortex

Leapfrogging vortex rings

Leapfrogging vortex rings

Additional results from Narain et al., "A Second-Order Advection-Reflection Solver", 2019 http://rahul.narain.name/ar2/

Leapfrogging vortices with small perturbation

Leapfrogging vortices with small perturbation

For a detailed description of how this was made, please visit the video showing the un-perturbed case. The initial conditions are ...

Head-on collision of vortex rings w/ small axis shift

Head-on collision of vortex rings w/ small axis shift

Vortex

Trio of leapfrogging Vortex Rings

Trio of leapfrogging Vortex Rings

The time evolution of a trio of