Wavenumber 128 Kolmogorov Flow | Turbulence Simulation

The incompressible Navier-Stokes equations are simulated at Reynolds Number 1000 with a Stable Fluids-like algorithm involving the Fast Fourier Transformation. A spatial discretization of 1920x1080 is evolved in time with a time step of 0.001. The flow is forced according to a Kolmogorov flow, with f_x = sin(k * pi * y) and f_y = 0. Here, the forced wavenumber is k=64.

De-Aliasing is used on wavenumbers greater than N/3. Visualized is an intensified version of the curl given by

sign(curl) * sqrt(abs(curl) / quant(curl, 0.8))

with quant(curl, 0.8) being the 80% quantile value of all observed curl values.

Additionally, the simulation is using a zero-mode correction (subtracting the mean of x velocity from the x velocity and subtracting the mean of y velocity from the y velocity, both in the spatial domain)

Then the colors are mapped by the seaborn icefire color map that is clipped between (-0.5, 0.5). This rendering is performed in 4K.

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Timestamps:
00:00 Build up
00:45 Crazyness starts

Видео Wavenumber 128 Kolmogorov Flow | Turbulence Simulation канала Machine Learning & Simulation