Ricardo Camarero

Passage-averaged Navier-Stokes equations with finite element applications

This work is part of an ongoing systematic effort to develop computational methods for analysis of hydraulic rotating machinery flowfields. Its purpose is to develop a mathematical model for the closure of the passage-averaged Navier-Stokes equations. Successful solution of these partial differential equations requires that the problem be mathematically well posed. So far, proofs of existence and uniqueness of the solution subject to the closure requirements are incomplete but encouraging. The closure requirements lead to the investigating the construction of solution algorithms through variational formulations using mixed and penalty methods. The closure model and the passageaveraged equations are incorporated into a finite element computer code. Numerical examples are given to illustrate the current status of our investigation. cylindrical coordinate cylindrical coordinate base vector metric tensor computational domain boundary of the computational domain blade region, a subset of the computational domain boundary of the blade region surface of discontinuity, r = BD(BD n an) unit outward normal to the blade region unit outward normal to the computational domain normalized blockage factor number of blades in a blade row angular velocity of a blade row surface of the blade passage suction side surface of the blade passage pressure side cambure surface of a blade Copyright @ American Institute of Aeronautics and Astronautics, Inc., 1989. A11 rights resewed.