Finite element solutions of the NavierStokes equations for compressible internal flows
Abstract
Finiteelement numerical methods are developed analytically to solve the primitivevariables NavierStokes equations for steady compressible and incompressible viscous internal flows. A Laplacian pressure dissipation term and Newton linearization are combined, as in the transonic externalflow Euler solver of Baruzzi et al. (1990). The formulation of the governing equations and the discretization and linearization procedures are outlined, and it is shown that convergence is quadratic and linear for incompressible and compressible flows, respectively. Numerical results are presented in graphs for (1) flow in a square cavity at Re = 400; (2) flow in a convergingdiverging channel at M = 0.002, 0.02, or 0.2 and Re = 100; (3) flow over a trough at M = 0.2 and Re = 10,000; and (4) incompressible and compressible flows in a pipe diffuser.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1990
 Bibcode:
 1990aiaa.meetQQ...P
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Finite Element Method;
 NavierStokes Equation;
 Euler Equations Of Motion;
 Flow Geometry;
 Incompressible Flow;
 Isoparametric Finite Elements;
 Velocity Distribution;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer