Development of a finite element solution for the unsteady Navier–Stokes equations using projection method and fractional-θ-scheme

✍ Scribed by C.H. Liu; D.Y.C. Leung

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 516 KB
• Volume: 190
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(00)00320-0

✦ Synopsis

A numerical model for computing non-stationary incompressible Navier±Stokes equations is developed and evaluated. The spatial domain is discretized by the consistent streamline upwind Petrov±Galerkin (SUPG) ®nite element method to stabilize the convection terms for high Reynolds number ¯ow. The velocity±pressure formulation of the discretized problem is decoupled by the projection method. Moreover, the semi-discretized problem is integrated by the fractional-h-scheme in the temporal domain. Finally, the resulting symmetric and non-symmetric linear problems are respectively, solved by the preconditioned conjugate gradient method and the preconditioned quasi minimal residual method. Numerical experiments for ¯ows inside a driven cavity, over a backward-facing step and over a square cylinder were performed and compared with experimental measurements and other numerical results.