A nonoscillatory numerical scheme based on a general solution of 2-D unsteady advection–diffusion equations

✍ Scribed by Katsuhiro Sakai

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 357 KB
• Volume: 108
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(99)00107-7

✦ Synopsis

A non-oscillatory numerical scheme based on a general solution of unsteady advection-di usion equations is presented. A general solution for initial value problems of linear two-dimensional unsteady advection-di usion equations is obtained using the spectral method. The resulting numerical scheme is explicit with respect to time, and fulÿlls the Patankar's positive coe cients condition for any advection velocity, di usivity and temporal mesh increment. Hence the present scheme guarantees solutions free from numerical oscillations for unsteady advection-di usion equations. Numerical experiments show good solutions.