On an efficient new preconditioned conjugate gradient method. Application to the incore solution of the Navier-Stokes equations via nonlinear least squares and finite element methods.

Roland Glowinski, O. Pironneau, B. Mantel, J. Periaux, P. Perrier

Research output: Chapter in book/report/conference proceedingConference proceedingpeer-review

1 Citation (Scopus)

Abstract

The authors consider the solution of large nonlinear problems in Fluid Dynamics by functional least square formulation and conjugate gradient algorithms with scaling. A new technique for the incomplete Choleski factorization of large, sparse symmetric positive definite matrices is presented. Then the special properties of the associated auxiliary operators allow the calculation of efficient incore solutions of the Navier-Stokes equations for incompressible fluids. To illustrate the possibility of the method, a 2-D unsteady separated flow in and around an air intake at large incidence (40 degrees) and fairly high Reynolds number (750) is simulated; the results of the numerical experiments are displayed and analyzed. (A)

Original languageEnglish
Title of host publicationProceedings of the Third International Conference on Finite Elements in Flow Problems
EditorsD. H. Norrie
PublisherUniversity of Calgary
Pages229-255
Number of pages27
Volume2
Publication statusPublished - Jun 1980
EventThird International Conference on Finite Elements in Flow Problems - Banff, Canada
Duration: 10 Jun 198013 Jun 1980

Publication series

NameProceedings of the International Conference on Finite Elements in Flow Problems

Conference

ConferenceThird International Conference on Finite Elements in Flow Problems
Country/TerritoryCanada
CityBanff
Period10/06/8013/06/80

Scopus Subject Areas

  • Engineering(all)

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