# A two dimensional unstructured staggered mesh method with special treatment of tangential velocity

Shala, Mehmet, Pericleous, Koulis A. and Patel, Mayur (2006) *A two dimensional unstructured staggered mesh method with special treatment of tangential velocity.* In: 4th WSEAS International Conference on Fluid Mechanics and Aerodynamics, August 21-23, 2006, Elounda, Greece.

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## Abstract

A two dimensional staggered unstructured discretisation scheme for the solution of fluid flow

problems has been developed. This scheme stores and solves the velocity vector resolutes normal and parallel

to each cell face and other scalar variables (pressure, temperature) are stored at cell centres. The coupled

momentum; continuity and energy equations are solved, using the well known pressure correction algorithm

SIMPLE. The method is tested for accuracy and convergence behaviour against standard cell-centre solutions

in a number of benchmark problems: The Lid-Driven Cavity, Natural Convection in a Cavity and the Melting

of Gallium in a rectangular domain.

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