ADVECTION-DIFFUSION-REACTION FINITE DIFFERENCE METHOD AND ITS APPLICTION

• Main Authors: Reui-Kuo Lin, 林瑞國
• Other Authors: W.H.Sheu
• Format: Others
• Language: zh-TW
• Published: 2000
• Online Access: http://ndltd.ncl.edu.tw/handle/81149387690041114615

碩士 === 國立臺灣大學 === 造船及海洋工程學研究所 === 88 === In this thesis, a one-dimensional nodally exact finite difference model is presented for solving the advection-diffusion-reaction partial differential equation. For exterding the application range the advection-diffusion-reaction equation is extended to two-dimensional analysis by employing ADI spatial splitting method. To validate the proposed finite difference model, both the two-dimensional incompressible Navier-Stokes and MHD equations are considered as the test equations. Attempts to obtain the monotonic and non-oscillatory solution led to apply the concept of M-matrix.