A convectivedifference scheme using a general curvilinear coordinate grid for steady incompressible viscous flow problems
Abstract
A numerical scheme for analyzing the steady twodimensional incompressible viscous flow using a general curvilinear coordinate grid is proposed. In this scheme, the unsteady NavierStokes equations are solved by a convectivedifference scheme using a staggered square grid in transformed space. An elliptic equation of pressure is solved by the Tchebyscheff SLOR method. The substantial derivative term in the convectivedifference scheme is integrated along a path line and the values at the upstream end are interpolated considering a TVD concept. As numerical examples, the backwardfacing step duct and U curved duct flows were calculated. The calculated results show that the scheme has good accuracy as a secondorder scheme and is speedy in reaching for the steady condition.
 Publication:

JSME Transactions
 Pub Date:
 July 1992
 Bibcode:
 1992JSMET..58.2108M
 Keywords:

 Computational Fluid Dynamics;
 Finite Difference Theory;
 Incompressible Flow;
 Spherical Coordinates;
 Steady Flow;
 Viscous Flow;
 Ducted Flow;
 Elliptic Functions;
 NavierStokes Equation;
 Tvd Schemes;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer