TY - JOUR T1 - The Ghost Cell Method and Its Applications for Inviscid Compressible Flow on Adaptive Tree Cartesian Grids AU - Liu , Jianming AU - Zhao , Ning AU - Hu , Ou JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 664 EP - 682 PY - 2009 DA - 2009/01 SN - 1 DO - http://doi.org/10.4208/aamm.09-m0912 UR - https://global-sci.org/intro/article_detail/aamm/8390.html KW - Ghost cell method, Cartesian grid, adaptive tree method, inviscid compressible flow. AB -

In this paper, an immersed boundary algorithm is developed by combining the ghost cell method with adaptive tree Cartesian grid method. Furthermore, the proposed method is successfully used to evaluate various inviscid compressible flow with immersed boundary. The extension to three dimensional cases is also achieved. Numerical examples demonstrate the proposed method is effective.