Optimized Schwarz waveform relaxation for Primitive Equations of the ocean

• Main Authors: Audusse, Emmanuel, Dreyfuss, Pierre, Merlet, Benoit
• Format: Journal Article
• Language: English
• Published: 22-05-2009
• Subjects: Mathematics - Numerical Analysis
• DOI: 10.48550/arxiv.0905.3624

In this article we are interested in the derivation of efficient domain
decomposition methods for the viscous primitive equations of the ocean. We
consider the rotating 3d incompressible hydrostatic Navier-Stokes equations
with free surface. Performing an asymptotic analysis of the system with respect
to the Rossby number, we compute an approximated Dirichlet to Neumann operator
and build an optimized Schwarz waveform relaxation algorithm. We establish the
well-posedness of this algorithm and present some numerical results to
illustrate the method.