1. Introduction of the immersed boundary method
  2. Tracking and representing solid bodies using the level set method
    • Level set function and its properties
    • Interpolation, extrapolation, and solid volume fraction calculation
    • Tracking a solid body in a flow domain using a coordinate transformation
    • Coding practice section 1
  3. An introduction of fractional step methods
  4. Body force immersed boundary method
    • Direct forcing approach
    • Volume fraction based approach
    • Delta function based approach
    • Coding practice section 2
  5. Introduction of the sharp interface based approach