Modares Mechanical Engineering

Modares Mechanical Engineering

Extension of an Implicit Upwind Scheme to an Unstructured Grid for Viscous Flow Fields

Authors
1 دانشگاه تربیت مدرس
2 , Sharif University of Technology
3 Tarbiat Modares University
Abstract
Two essential steps in numerical simulation of a flow field are discretization of the computational space and discretization of the governing partial differential equations (pde’s). In the present work a triangular unstructured grid is utilized. Unstructured grids are recognized to be superior for complex geometries as well as for grid adaptation. For descritization of governing pde’s a finite element method is employed. This research presents a new implicit finite element method in a triangular unstructured grid. For convection term of Navier–Stokes equation a conservative upwind method is used, while a finite element method is used for viscous terms. Results are very promising for viscous flows inside a driven cavity.
Keywords