ISSN:
0271-2091
Keywords:
Uzawa algorithm
;
Preconditioning
;
Incomplete factorization
;
Three-dimensional
;
Fluid flow
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
A new iterative algorithm for the solution of the three-dimensional Navier-Stokes equations by the finite element method is presented. This algorithm is based on a combination of the Uzawa and the Arrow-Hurwicz algorithms and uses a preconditioning technique to enhance convergence. Numerical tests are presented for the cubic cavity problem with two elements, namely the linear brick Q1-P0 and the enriched linear brick Q1+ - P1. It is shown that the proposed methodology is optimal with the enriched element and that the CPU time varies as NEQ1·44, where NEQ is the number of equations.
Additional Material:
7 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650100406
