Solution of threedimensional inviscid rotational flows in a curved duct
Abstract
Application of a finiteelement algorithm to the solution of the threedimensional steady Euler equations is presented. The method involves a Clebsch transformation of the velocity vector, where the Euler equations are written in terms of the Clebsch variables. The resulting equations are solved by using a relaxation scheme rather than employing the timedependent Euler equations. The formulation for threedimensional steady, isoenergetic flows is presented. The convergence characteristics of the solution scheme and the application of boundary conditions are discussed. For the curvedduct experiment of Stanitz, et al. (1953), numerical results are presented demonstrating the accuracy and applicability of the solution scheme.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1984
 Bibcode:
 1984aiaa.meetT....E
 Keywords:

 Ducted Flow;
 Euler Equations Of Motion;
 Inviscid Flow;
 Rotating Fluids;
 Three Dimensional Flow;
 Convergence;
 Corner Flow;
 Duct Geometry;
 Finite Element Method;
 Flow Velocity;
 Steady Flow;
 Fluid Mechanics and Heat Transfer