A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier---Stokes equations

Authors:
Michele Benzi;Zhen Wang
Affiliations:
Department of Mathematics and Computer Science, Emory University, Atlanta, USA 30322;Scientific Computing Group, National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, USA 37831
Venue:
Numerical Algorithms
Year:
2013

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Abstract

We describe a parallel implementation of a block triangular preconditioner based on the modified augmented Lagrangian approach to the steady incompressible Navier---Stokes equations. The equations are linearized by Picard iteration and discretized with various finite element and finite difference schemes on two- and three-dimensional domains. We report strong scalability results for up to 64 cores.