A least-squares finite element method for 3D incompressible Navier-Stokes equationsThe least-squares finite element method (LSFEM) based on the velocity-pressure-vorticity formulation is applied to three-dimensional steady incompressible Navier-Stokes problems. This method can accommodate equal-order interpolations, and results in symmetric, positive definite algebraic system. An additional compatibility equation, i.e., the divergence of vorticity vector should be zero, is included to make the first-order system elliptic. The Newton's method is employed to linearize the partial differential equations, the LSFEM is used to obtain discretized equations, and the system of algebraic equations is solved using the Jacobi preconditioned conjugate gradient method which avoids formation of either element or global matrices (matrix-free) to achieve high efficiency. The flow in a half of 3D cubic cavity is calculated at Re = 100, 400, and 1,000 with 50 x 52 x 25 trilinear elements. The Taylor-Gortler-like vortices are observed at Re = 1,000.
Document ID
19930040239
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Jiang, Bo-Nan (NASA Lewis Research Center Cleveland, OH, United States)
Lin, T. L. (Livermore Software Technology Corp. CA, United States)
Hou, Lin-Jun (NASA Lewis Research Center Cleveland, OH, United States)
Povinelli, Louis A. (NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
AIAA PAPER 93-0338
Meeting Information
Meeting: AIAA, Aerospace Sciences Meeting and Exhibit