Topological transition and helicity conversion of vortex knots and links

Mathematics

• Aspect Ratio 40%
• Breakdown 8%
• Decompose 5%
• Direct numerical Simulation 11%
• Fluctuations 15%
• Helicity 100%
• Incompressible Navier-Stokes Equations 8%
• Interaction 5%
• Knot 64%
• Line 5%
• Merging 9%
• Range of data 4%
• Topology 5%
• Torus 26%
• Torus knot 10%
• Transition to Turbulence 27%
• Trigger 10%
• Tube 8%
• Twist 16%
• Unstable 6%
• Vortex 76%
• Vortex Ring 12%
• Winding number 10%
• Writhe 24%

Physics & Astronomy

• actuators 7%
• aspect ratio 32%
• breakdown 7%
• decomposition 6%
• direct numerical simulation 9%
• geometry 5%
• interactions 3%
• Navier-Stokes equation 8%
• routes 7%
• topology 7%
• turbulence 13%
• vortex rings 11%
• vortex tubes 13%
• vortices 53%

Engineering & Materials Science

• Aspect ratio 26%
• Decomposition 5%
• Direct numerical simulation 9%
• Geometry 4%
• Merging 7%
• Navier Stokes equations 7%
• Topology 4%
• Turbulence 13%
• Vortex flow 62%