2D Fluid Simulator

Features

• Finite Difference Method (MAC Method)
• Advection Scheme
  • Upwind Differencing
  • Kawamura-Kuwahara
  • CIP (Constrained Interpolation Profile)
• Flow Visualization
  • Norm (Velocity) and Pressure
  • Pressure
  • Vorticity
  • Dye
• Vorticity Confinement

Setup

Run the following command in an environment with the uv project management tool installed:

uv sync

GeForce GTX 1080 or higher recommended.

Usage

• Boundary Condition 1, ReynoldsNumber = 1000, dt = 0.0005, VorticityConfinement is Disable

  uv run main.py -re 1000 -dt 0.0005 -vc 0.0

  Press V key switches the flow visualization method. dt is automatically determined even if not specified, but should be small for divergence.
• Boundary Condition 2, resolution = 800

  uv run main.py -bc 2 -res 800

  Boundary conditions can be specified from 1 to 6
• Boundary Condition 3, ReynoldsNumber = 10^8, resolution = 800, VorticityConfinement = 10

  uv run main.py -bc 3 -re 100000000 -res 800 -vc 10

• Help

  uv run main.py -h

• for CPU

  uv run main.py -dt 0.0005 -cpu

Screenshots

Flow Visualization

• Norm and Pressure
• Pressure
• Vorticity
• Dye

Vorticity Confinement

• Disable
• Enable

References

• 移流法
• 2 次元 CIP 法による移流項の計算
• GPU Gems Chapter 38. Fast Fluid Dynamics Simulation on the GPU
• Ronald Fedkiw, Jos Stam, Henrik Wann Jensen. Visual Simulation of Smoke.