ISSN:
0271-2091
Keywords:
Navier-Stokes Problem
;
Augmented Lagrangian Method
;
Uzawa Algorithm
;
Conforming Finite Element Methods
;
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:
An application and an extension (to complex variables) of the classical augmented Lagrangian method is performed. Finite element computations are realized in the two-dimensional case of an harmonic Navier-Stokes problem with periodic boundary conditions. A formulation (extended from the traditional Stokes problem) involving a simple Lagrangian, solved by the Uzawa algorithim, was previously used.1 This treatment proved unsatisfactory for large frequencies. The efficient and well-known augmented Lagrangian technique solved by the Uzawa algorithm is used to overcome these shortcomings. Other, better techniques could be used. Nevertheless the simple method used here is efficient. Moreover the numerical implementation needs little memory storage, which is an important factor in this particular case. The well-known conditioning technique employed is shown to be well-adapted in this case, a fact which emerges from the study of the non-symmetric problem involved. Finally, many tests, computations and experimental data are presented.
Additional Material:
12 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650070605
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