Numerical Computation of Three-Dimensional Rotational Inviscid Subsonic Flows, Using the Decomposition of the Flow Field Into a Potential and a Rotational Part

Abstract
The strongly rotational, three-dimensional, steady, inviscid, subsonic flow field in ducts is calculated using the decomposition of the mass flux vector field into a potential and a rotational part. The resulting formulation requires the solution of two elliptic equations and a procedure for handling the transport of vorticity. A modified strongly implicit finite difference procedure is used for the solution of the elliptic equations, while the transport equations are handled in their Lagrangean form. In the present work, the algorithm, the boundary conditions and the convergence characteristics of the solution are discussed. Numerical results are presented for a rectangular elbow of 90 degrees of turning.

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