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.
Mazaheri,K. , Darbandi,M. and Vakilipour,S. (2006). Extension of an Implicit Upwind Scheme to
an Unstructured Grid for Viscous Flow Fields. Modares Mechanical Engineering, 6(1), 1-12.
MLA
Mazaheri,K. , , Darbandi,M. , and Vakilipour,S. . "Extension of an Implicit Upwind Scheme to
an Unstructured Grid for Viscous Flow Fields", Modares Mechanical Engineering, 6, 1, 2006, 1-12.
HARVARD
Mazaheri K., Darbandi M., Vakilipour S. (2006). 'Extension of an Implicit Upwind Scheme to
an Unstructured Grid for Viscous Flow Fields', Modares Mechanical Engineering, 6(1), pp. 1-12.
CHICAGO
K. Mazaheri, M. Darbandi and S. Vakilipour, "Extension of an Implicit Upwind Scheme to
an Unstructured Grid for Viscous Flow Fields," Modares Mechanical Engineering, 6 1 (2006): 1-12,
VANCOUVER
Mazaheri K., Darbandi M., Vakilipour S. Extension of an Implicit Upwind Scheme to
an Unstructured Grid for Viscous Flow Fields. Modares Mechanical Engineering, 2006; 6(1): 1-12.