Solution of three-dimensional inviscid rotational flows in a curved duct
Abstract
Application of a finite-element algorithm to the solution of the three-dimensional 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 time-dependent Euler equations. The formulation for three-dimensional steady, isoenergetic flows is presented. The convergence characteristics of the solution scheme and the application of boundary conditions are discussed. For the curved-duct 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:
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- 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