A remark on pressure correction schemes for transient viscous incompressible flow

✍ Scribed by Minev, P. D. ;Gresho, P. M.

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 176 KB
• Volume: 14
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199804)14:4<335::aid-cnm151>3.0.co;2-c

✦ Synopsis

The paper presents a discussion of some phenomena related to the pressure-correction scheme implemented in a spectral element or ®nite element context. Of particular interest are the spurious boundary layers created around prescribed boundaries in which the pressure exhibits spurious behaviour. The ¯ow is very prone to singular behaviour, especially around geometrical singularities. That is why this phenomenon is studied using as an example the ¯ow in a diverging channel with sharp changes in the angle. The reasons for, and a possible remedy to, the singular (and aphysical) behaviour of the numerical solution are discussed. The results of the numerical experiments clearly support the conclusions of this discussion.