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A node-nested Galerkin multigrid method for metal forging simulation

Abstract : A node-nested Galerkin multigrid method is developed to solve systems provided by mixed formulations of 3D metal forming problems. An algebraic approach is used with operators built on node-nested meshes made of unstructured tetrahedra. The coarse meshes are built by an automatic coarsening algorithm based on node removal and local topological remeshing techniques. This blackbox multigrid preconditioner is developed within the PETSc library. It is plugged to the FORGE3® finite element software with frequent remeshings. The effectiveness of the resulting multigrid solver is evaluated for several large scale problems with non-linear behaviour, showing very high efficiency. In particular, the linear rate of convergence of the method is verified on various scales simulations.
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Submitted on : Tuesday, September 28, 2010 - 9:50:14 AM
Last modification on : Wednesday, November 17, 2021 - 12:28:05 PM

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Benoît Rey, Katia Mocellin, Lionel Fourment. A node-nested Galerkin multigrid method for metal forging simulation. Computing and Visualization in Science, Springer Verlag, 2008, 11 (1), pp.Pages 17-25. ⟨10.1007/s00791-006-0054-5⟩. ⟨hal-00521587⟩



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