Numerical Methods for Fluid Dynamics

Practical information:

Quick introduction to Python

Lectures:

• Lecture 1: Introduction + Finite Differences
  Slides
  [BIB MATHS] On Padé approximations
  
  
• Lecture 2: Numerical stability
  
  Slides
  C2.1_1D_heat_loops.py
  C2.2_heat_loops_conv.py
  C2.3_1D_heat_vect_conv.py
  C2.4_Oscillator.py
  
  
• Lecture 3: Stokes flows
  
  Slides
  
  
• Lecture 4: Navier-Stokes
  Slides
  C4.1_1D_advection.py
  
  
• Lecture 5: Spectral methods
  Slides
  C5.1_example_FFT.py
  C5.2_Conv_FD.py
  C5.3_Conv_Sp.py
  C5.4_Shannon.py
  C5.5_ETD.py
  C5.6_Burgers.py
  
  
• Lecture 6: Waves and staggered meshes
  Slides
  
  
• Lecture 7: Boundary conditions
  Slides
  
  
• Lecture 8: Complex domains
  Slides
  
  
• Lecture 9: Prospects
  Slides
  
  

Tutorials:

• Tutorial 1
  TD1.pdf
  Kronecker_product.pdf Slides on the Kronecker product)
  TD1.tar
  TD1_corr.tar
  
  
• Tutorial 2
  TD2.pdf
  TD2.tar
  TD2_corr.tar
  
  
• Tutorial 3
  TD3.pdf
  TD3.tar
  TD3_corr.tar
  
  
• Tutorial 4
  TD4.pdf
  TD4.tar
  TD4_corr.tar
  
  
• Tutorial 5
  TD5.pdf
  TD5.tar
  TD5_corr.tar
  
  
• Tutorial 6
  TD6.pdf
  TD6.tar
  TD6_corr.tar
  
  
• Tutorial 7
  TD7.pdf
  TD7.tar
  TD7_corr.tar
  
  
• Tutorial 8
  TD8.pdf
  TD8.tar
  TD8_corr.tar