Скачать с ютуб Extending the Stable Fluids Algorithm with the FFT in Julia to 3D в хорошем качестве

Extending the Stable Fluids Algorithm with the FFT in Julia to 3D

3D Stable Fluids is a way to perform "unconditionally stable" fluid simulation. If we have periodic boundary conditions, it can be vastly simplified by the Fast Fourier Transformation (=FFT). Let's extend the Julia code to 3D and visualize with Paraview. Here is the code: https://github.com/Ceyron/machine-lea... The Stable Fluids with the FFT is a way to solve the Navier Stokes Equations, which are Partial Differential Equations that define fluid mechanics. In a previous video (   • Stable Fluids using the FFT in Julia ...   ) we coded a two-dimensional version in which we used the Plots.jl package to visualize the 2D curl while simulation. Now, we want to write out vtk files for our three-dimensional extension to then load them into Paraview, a proven software for three-dimensional transient scientific visualization. ------- 📝 : Check out the GitHub Repository of the channel, where I upload all the handwritten notes and source-code files (contributions are very welcome): https://github.com/Ceyron/machine-lea... 📢 : Follow me on LinkedIn or Twitter for updates on the channel and other cool Machine Learning & Simulation stuff:   / felix-koehler   and   / felix_m_koehler   💸 : If you want to support my work on the channel, you can become a Patreon here:   / mlsim   ------- Timestamps: 00:00 Introductions 01:07 What changes in 3D? 02:01 Import changes 02:41 Constants 00:47 Recap on the 2D 03:23 Auxiliary Functions 03:55 Mesh 04:46 Wavenumbers 05:48 Forcing 08:49 Pre-Allocations 09:26 Trajectory Containers 10:06 (1) Force Application 10:22 (2) Semi-Lagrangian Advection 11:16 (3) Diffusion & Incompressibility 12:08 VTK Write-Out instead of interactive visualization 13:14 WriteVTK (Paraview Collection with time steps) 16:15 Executing the new file 16:50 Exploring the created files 17:14 Paraview: Loading the saved dataset 17:44 Paraview: Velocity Magnitude Volume Rendering 19:07 Paraview: Playing with Transfer Function 20:43 Paraview: Computing Vorticity (=Curl) 21:38 Paraview: Vorticity Magnitude Volume Rendering 22:43 Paraview: Changing the Color map 23:23 Outro