A numerical method for solving momentum equations in generalized coordinates  Its application to threedimensional separated flows
Abstract
A finite difference calculation procedure has been developed for the calculations of the threedimensional fully elliptic flows over irregular boundaries. A simple control volume analysis is introduced to reformulate the momentum equations in the generalized velocity and coordinate system, without resorting to any extensive tensor calculus. The finite difference equations are obtained by discretizing the conservation equations in this generalized system. For a practical application of the present finite difference calculation scheme, calculations are carried out on the threedimensional separated flow in a convergingdiverging rectangular duct. The calculation results reveal an extremely complex nature of the threedimensional separated flow.
 Publication:

ASME Journal of Fluids Engineering
 Pub Date:
 March 1985
 Bibcode:
 1985ATJFE.107...49N
 Keywords:

 Computational Fluid Dynamics;
 Coordinate Transformations;
 Finite Difference Theory;
 Momentum Theory;
 Separated Flow;
 Three Dimensional Flow;
 Boundary Value Problems;
 ConvergentDivergent Nozzles;
 Ducted Flow;
 Fluid Mechanics and Heat Transfer