TY - JOUR
T1 - 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.
AU - GLOWINSKI, Roland
AU - Pironneau, O.
AU - Mantel, B.
AU - Periaux, J.
AU - Perrier, P.
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1980
Y1 - 1980
N2 - 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)
AB - 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)
UR - http://www.scopus.com/inward/record.url?scp=0018952492&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0018952492
VL - 2 , Calgary, Canada, Calgary Univ., no date
SP - 229
EP - 255
JO - IN: PROC. 3RD. INT. CONF. ON FINITE ELEMENTS IN FLOW PROBLEMS, , D.H. NORRIE (ED.)
JF - IN: PROC. 3RD. INT. CONF. ON FINITE ELEMENTS IN FLOW PROBLEMS, , D.H. NORRIE (ED.)
IS - (Banff, Canada: Jun. 10-13, 1980)
ER -