UN CO RR EC TE D PR O O F 1 Two - Grid LNKSz for Distributed Control of Unsteady 2 Incompressible Flows 3
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چکیده
The distributed control of unsteady incompressible flows has been the focus of 9 intense research in scientific computing in the past few years. Most of the existing approaches 10 for distributed control problems are based on the so-called reduced space method which is 11 easier to implement but may have convergence issues in some situations. In this paper we 12 investigate some fully coupled parallel two-grid Lagrange-Newton-Krylov-Schwarz (LNKSz) 13 algorithms for the implicit solution of distributed control problems. In the full space approach 14 we couple the control variables, the state variables and the adjoint variables in a single large 15 system of nonlinear equations. Numerical experiments are presented to show the efficiency 16 and scalability of the algorithm on supercomputers with more than one thousand processors. 17
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تاریخ انتشار 2013