POD acceleration of fully implicit solver for unsteady nonlinear flows and its application on grid architecture

A method for the acceleration of a fully implicit solution of nonlinear unsteady boundary value problem is presented. The principle of acceleration is for provide to the inexact Newton backtracking method a better initial guess, for the current time step, than the conventional choice from the previo...

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Bibliographic Details
Published in:Advances in engineering software (1992) Vol. 38; no. 5; pp. 301 - 311
Main Authors: Tromeur-Dervout, D., Vassilevski, Y.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.05.2007
Subjects:
Acceleration of convergence
Algorithms for specific class of architecture
Distributed system
Fluid mechanics
Nonlinear PDE of parabolic type
Parallel computation
Algorithms for specific class of architecture
65B99
Fluid mechanics
Nonlinear PDE of parabolic type
Acceleration of convergence
68H14
Parallel computation
65Y10
Distributed system
65Y05
35K55
76
ISSN:0965-9978
Online Access:Get full text
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Summary:A method for the acceleration of a fully implicit solution of nonlinear unsteady boundary value problem is presented. The principle of acceleration is for provide to the inexact Newton backtracking method a better initial guess, for the current time step, than the conventional choice from the previous time step. This initial guess is built on the reduced model obtained by a proper orthogonal decomposition of solutions at the previous time steps. This approach is appealing to GRID computing: spare processors may help to improve the numerical efficiency and to manage the computing in a reliable way.
ISSN:0965-9978
DOI:10.1016/j.advengsoft.2006.08.007