Finite element solution of steady natural convection equations by a false diffusion method

✍ Scribed by Sen, Swarnendu ;Sarkar, A.

• Publisher: John Wiley and Sons
• Year: 1994
• Tongue: English
• Weight: 627 KB
• Volume: 10
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/cnm.1640101011

✦ Synopsis

Abstract

Use of upwind finite element methods was so far confined to forced convection problems. The present work is devoted to the application of false diffusion techniques to phenomena involving natural convection. A range of Rayleigh numbers in which the discretization by the conventional Galerkin scheme fails is considered. A false diffusion method similar to the Streamline upwind technique has been employed to avoid cross‐wind diffusion. The upwind parameter is changed continually until a true solution is obtained. The present scheme provides convenient means for obtaining gradually improved guesses from which a more accurate solution can be obtained using the conventional Galerkin method. The criterion for the determination of a true solution is established, and hot‐wall Nusselt number values are documented in tabular form.