A finite element solution of threedimensional inviscid rotational flows through curved ducts
Abstract
A previously developed twodimensional finite element algorithm for the solution of steady Euler equations is extended to threedimensional problems. Starting with the general threedimensional problem, the formulation of steady, rotational flows is presented. The boundary conditions for steady flows where the rotationality is introduced through entropy or total enthalpy gradients are introduced. A threedimensional flow through a curved duct is analyzed as a sample problem, demonstrating the efficiency of the relaxation scheme. The accuracy of the numerical results is investigated by calculating the velocity and vorticity distributions at different sections of the channel, including the exit.
 Publication:

Computation of Internal Flows: Methods and Applications
 Pub Date:
 1983
 Bibcode:
 1983cifm.proc..167E
 Keywords:

 Ducted Flow;
 Finite Element Method;
 Inviscid Flow;
 Three Dimensional Flow;
 Vortices;
 Algorithms;
 Duct Geometry;
 Euler Equations Of Motion;
 Integral Equations;
 Isoenergetic Processes;
 Lagrange Multipliers;
 Mach Number;
 Fluid Mechanics and Heat Transfer