An Alternative GMAC Scheme on Curvilinear Domains.

• Main Authors: CHEN,YEN-JEN, 陳彥任
• Other Authors: HUANG,YIN-LIANG
• Format: Others
• Language: zh-TW
• Published: 2019
• Online Access: http://ndltd.ncl.edu.tw/handle/3bmpm5

碩士 === 國立臺南大學 === 應用數學系碩士班 === 107 === In this paper, the alternative GMAC scheme, GMACg, is implemented. GMACg places the speed at the grid points, while the pressure and vorticity in the center of the cells, so that the velocity, pressure and vorticity can be quickly obtained. The discretization of the pressure Poisson equation obtained by this method will be symmetric, which makes the solution more accurate due to the Hodge decomposition. Finally, using the developed numerical model, the two-dimensional flow field convergence test of GMACg on curved boundary is second-order accurate,andGMACgsimulationsofatwo-dimensionallid-drivencavityflowisstable.