Calculating threedimensional fluid flows using nonorthogonal grids
Abstract
A solution technique involving nonorthogonal grids to model threedimensional parabolic incompressible flowfields is described. The Cartesian velocity components are maintained as independent variables while the conservation equations are transformed into the curvilinear system. Finite difference equations for the momentum equations are defined in terms of the contravariant velocity components and are solved, along with the mass conservation equation, using the PRIME computer code. The technique is demonstrated in an application to a driven flow in a square cavity with a moving lid. It is shown that conditions ranging from diffusion dominance to convection dominance can be successfully described by the procedure.
 Publication:

Numerical Methods in Laminar and Turbulent Flow
 Pub Date:
 1983
 Bibcode:
 1983nmlt.proc..656M
 Keywords:

 Computational Grids;
 Finite Difference Theory;
 Flow Equations;
 Three Dimensional Flow;
 Coordinate Transformations;
 Elliptic Differential Equations;
 Parabolic Differential Equations;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer