POD acceleration of fully implicit solver for unsteady nonlinear flows and its application on grid architecture |
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| Affiliation: | 1. Center for the Development of Parallel Scientific Computing, UMR5208 Université Lyon1-CNRS, Institut Camille Jordan, 15Bd Latarjet, 69622 Villeurbanne, France;2. Institute of Numerical Mathematics, 8, Gubkina Street, 119991 Moscow, Russia;1. Applied Mathematics and Systems Laboratory, Ecole Centrale Paris, Grande Voie des Vignes, Chatenay-Malabry, France;2. Heriot-Watt University, Edinburgh, UK;3. Pollack Mihály, Faculty of Engineering, Universityof Pécs, Hungary;1. Aachen Institute for Advanced Study in Computational Engineering Science, RWTH Aachen University, Aachen, Germany;2. Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Aachen, Germany |
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| Abstract: | 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. |
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