Least-Squares Solution of Incompressible Navier-Stokes Equations with the P-Version of Finite Elements

Download or read book Least-Squares Solution of Incompressible Navier-Stokes Equations with the P-Version of Finite Elements written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2019 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: A p-version of the least squares finite element method, based on the velocity-pressure-vorticity formulation, is developed for solving steady state incompressible viscous flow problems. The resulting system of symmetric and positive definite linear equations can be solved satisfactorily with the conjugate gradient method. In conjunction with the use of rapid operator application which avoids the formation of either element of global matrices, it is possible to achieve a highly compact and efficient solution scheme for the incompressible Navier-Stokes equations. Numerical results are presented for two-dimensional flow over a backward facing step. The effectiveness of simple outflow boundary conditions is also demonstrated. Jiang, Bo-Nan and Sonnad, Vijay Glenn Research Center NASA-TM-105203, ICOMP-91-14, E-6506, NAS 1.15:105203 NASA ORDER C-99066-G...