3D Taylor-Green Vortex

The Taylor-Green vortex starts with a simple sinusoidal velocity field. In two dimensions the vortex decays smoothly, but in three dimensions it quickly develops into turbulent flow as the energy is driven into smaller and smaller vortices.
This video shows the vortex cores (visualized with lambda_2=0 iso-surfaces) in a cubic section of the triply infinite domain.

[@dcxs5896]

What are the initial conditions and which equations are they solving?

[@GabeWeymouth]

Here's some info on the Taylor Green vortex en.wikipedia.org/wiki/Taylor%E2%80%93Green_vortex

[@dcxs5896]

@@GabeWeymouth So it's the incompressible Navier Stokes that you're solving with periodic boundary conditions? But what are the exact initial conditions? In the original paper T&G look at anything of the form u = Asinx Bsiny Ccosz , (and similar for the x/y velocity components v/w)

Which lenguaje did you use to simulate this???

[@GabeWeymouth]

This is an old Fortran simulation visualized using Paraview. However, you can run this test case in WaterLily (github.com/weymouth/WaterLily.jl ), which is written in the Julia language.

[@dcxs5896]

@@GabeWeymouth dead link...

[@GabeWeymouth]

Fixed.

[@dcxs5896]

@@GabeWeymouth Thanks! It seems like the repository has been inactive since April, are you still working on it? Are you still planning on accelerating it with cuda.jl?