Test of an accurate and compact discretization for incompressible Navier-Stokes equations on a staggered grid: flow over a backward facing step

• Main Authors: Yi-Chuan Liu, 劉鎰銓
• Other Authors: Yao-Hsin Hwang
• Format: Others
• Language: zh-TW
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/70678818056328395800

碩士 === 國立高雄海洋科技大學 === 輪機工程研究所 === 98 === This thesis is devoted to the validation of our currently developed numerical formulation for incompressible flow problems. As compared with conventional schemes, the most salient feature in the present formulation is its particular way to determine solution gradient, which are solved with its supplementary equation rather than interpolated from solution values. A general polygonal staggered grid system is employed to handle complicated computational domains without incurring possible pressure checkerboard field. As a classic benchmark problem to test numerical schemes, the backward-facing step flow is chosen in the present work to validate our formulation. Detailed comparisons of flow filed, cross sectional velocity profile and reattachment length with available experimental and computational results are performed. From the obtained computational results, it is shown that the present formulation will be one of the efficient schemes to simulate incompressible flow problems in complicated domains.