Paper 1: H. Ji, F.S. Lien, E. Yee (2008), “A New Cartesian Grid Method with Adaptive Mesh Refinement for Degenerate Cut Cells on Moving Boundaries”, Proc. 5th Int. Conf. On Computational Fluid Dynamics, 7-11 July 2008, Seoul, Korea.
Paper 2: H. Ji, F.S. Lien, E. Yee (2010), “A New Adaptive Mesh Refinement Data Structure with an Application to Detonation”, Journal of Computational Physics, Vol. 229, pp. 8981-8993.
Paper 3: H. Ji, F.S. Lien, E. Yee (2010), “Numerical Simulation of Detonation Using an Adaptive Cartesian Cut-Cell Method Combined with a Cell-Merging Technique”, Computers & Fluids, Vol. 39, pp. 1041-1057.
Representation and tracking of an irregular moving boundary
Computing geometric properties of a cut-cell
Discretization of gradient fluxes
Gradient fluxes at faces of a cell
Gradient flux between regular cut-cells
Gradient flux between degenerate cut-cells
Gradient fluxes at different refinement level
Gradient fluxes between Cartesian and cut cells
Gradient fluxes between Cartesian and split cells
Gradient fluxes at boundary
Moving boundary
Multigrid
FTT data structure for AMR
Example 1: a circle (l=k=3)
Error norm & MG convergence
Example 2: moving boundary
