𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A streamfunction-vorticity formulation of spatially periodic flows

✍ Scribed by Manzan, M. ;Comini, G. ;Cortella, G.

Book ID
101279057
Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
228 KB
Volume
13
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we implement the spatially periodic boundary conditions in ®nite element solutions of the Navier±Stokes equations based on the streamfunction±vorticity formulation. Periodic boundary conditions are enforced at both in¯ow/out¯ow and lower/upper boundaries. As an example of application we consider the ¯uid ¯ow, at two dierent Reynolds numbers, through an array of pin ®ns. The limiting assumption of symmetry conditions at the boundaries parallel to the main ¯ow is shown to yield unphysical-looking con®gurations.

📜 SIMILAR VOLUMES

A VORTICITY–STREAMFUNCTION FORMULATION F
A VORTICITY–STREAMFUNCTION FORMULATION FOR STEADY INCOMPRESSIBLE TWO-DIMENSIONAL FLOWS
✍ P. CHAVIAROPOULOS; K. GIANNAKOGLOU 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 764 KB

A vorticitystreamfunction formulation for incompressible planar viscous flows is presented. The standard kinematic field equations are discretized using centred finite difference schemes and solved in a coupled way via a Newton-like linearization scheme. The linearized system of partial differential