Algorithm Development

Adaptive Mesh Refinement
Adaptive Mesh Refinement (AMR) & Cut-Cell Method

H. Ji, F.S. Lien and E. Yee (2008), “A Robust and Efficient Hybrid Cut-Cell/Ghost-Cell Method with Adaptive Mesh Refinement for Moving Boundaries on Irregular Domains”, Computer Methods in Applied Mechanics and Engineering, Vol. 198, pp. 432 – 448.

H. Ji, F.S. Lien and E. Yee (2006), “An Efficient Second-Order Accurate Cut-Cell Method for Solving the Variable Coefficient Poisson Equation with Jump Conditions on Irregular Domains”, International Journal for Numerical Methods in Fluids, Vol. 52, pp. 723-748.