PhiFlow Tutorial: Smoke Plume Simulation

Описание: PhiFlow is a Python package that builds upon modern deep learning frameworks like JAX, PyTorch and TensorFlow. It simplifies the simulation of PDEs like for Comptational Fluid Dynamics and enables "Differentiable Physics". Here is the code: https://github.com/Ceyron/machine-lea...

"Differential Physics" is a modern paradigm that builds upon a clever combination of simulation techniques (like Finite Differences, Finite Volumes, Finite Volumes, Smoothed Particle Hydrodynamics etc.) and adjoint methods to interleave physics and deep learning. This can be used to solve inverse problems, train low-level deep learning correction models or control complicated PDEs.

PhiFlow enables this paradigm by making many advanced simulation techniques easily available from a high-level language like Python. It uses the powers of modern deep learning packages and thereby allows the efficient usage of accelerators like GPUs and TPUs.

In this video, we will only use the simulation aspects of PhiFlow to compute a simple scenario in fluid mechanics. Here, a species (hot smoke) is immersed in a fluid. The fluid adheres to the Navier-Stokes equations. The hot smoke follows an advection equation that is driven by the fluids velocity field. Additionally, the hot smoke exerts a force due to Buoyancy into the momentum equation of the fluid.

Here is the documentation of Φ-Flow: https://tum-pbs.github.io/PhiFlow/

Check out the GitHub Repo of Φ-Flow: https://github.com/tum-pbs/PhiFlow

Also check out the tutorial series over on ‪@holl-science‬ 's channel:    • Φ-Flow Tutorials  

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📝 : 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  

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Timestamps:
00:00 Intro
00:22 What is PhiFlow? Differentiable Physics?
00:49 Governing Equations (with Buoyancy)
01:30 Scenario and Boundary Conditions
02:08 Solution Strategy
04:30 Imports
05:10 Main Function Boilerplate
05:21 Defining velocity staggered field
06:50 Defining smoke centered field
07:56 Pre-Define inflow smoke pattern
09:35 Simulation Step Function
14:24 Simulation Loop + Visualization
16:22 First Run + Small Bug Fix
17:05 Changing to JAX + JIT for faster simulation
19:30 Discussion
19:43 Outro