• 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

• Python 3.10
• Taichi 1.5

GeForce GTX 1080 or higher recommended.

• Boundary Condition 1, Reynolds Number = 0.2, dt = 0.01

  python main.py -re 0.2

  Press V key switches the flow visualization method.
• Boundary Condition 2, Reynolds Number = 100.0, resolution = 800, dt = 0.01

  python main.py -bc 2 -re 100 -res 800

• Boundary Condition 3, Reynolds Number = 100.0, resolution = 800, dt = 0.01, no vorticity confinement, upwind scheme

  python main.py -bc 3 -re 100 -res 800 -vor_eps 0.0 -scheme upwind

• Boundary Condition 3, Reynolds Number = 100.0, resolution = 800, dt = 0.01, no vorticity confinement, cip scheme

  python main.py -bc 3 -re 100 -res 800 -vor_eps 0.0

• Boundary Condition 5, Reynolds Number = 100.0, dt = 0.01

  python main.py -bc 5 -re 100

• Boundary Condition 6, Reynolds Number = 100.0, dt = 0.01

  python main.py -bc 6 -re 100

• Help

  python main.py -h

• Boundary Condition 2, Reynolds Number = 100.0, resolution = 200, dt = 0.01

  python main.py -bc 2 -re 100.0 -res 200 -cpu

• Norm and Pressure
• Pressure
• Vorticity
• Dye

• eps = 0.0
• eps = 4.0

• 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.