Abstract
This paper describes a simulation of octree AMR using Fully Threaded Tree with Pedigree (pFTT) data structure that is most suitable for adaptive mesh strategy among standard, FTT and pFTT data structures. To validate the present approach, a scalar transport equation was calculated on pFTT, using AMR with scalar gradient as an index for joining and splitting cells. According to numerical experiments, it was found that this method was able to capture a face of discontinuity appropriately. Skipping the process of joining and splitting, however, leads to the decline of the numerical accuracy and the increase of the calculation costs. Reasonably good results were obtained with every or every 2 steps joining and splitting on pFTT using AMR.
