Author: Guangfa Yao
Immersed Boundary Method for CFD introduces a few popular implementations of the immersed boundary method. It also introduces the fractional step method usually coupled with these. The level set function, a powerful tool for representing, tracking, and manipulating complex geometries, is also covered. Interpolation, extrapolation, and solid volume fraction calculation are also discussed using the level set function. All equations are derived in detail.
A detailed introduction can be found in the Numersolution blog.