Optimized Schwarz Waveform Relaxation for the Primitive Equations of the Ocean

E. Audusse, P. Dreyfuss, B. Merlet
2010 SIAM Journal on Scientific Computing  
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 in the regime of small Rossby numbers, we compute an approximate Dirichlet to Neumann operator and build an optimized Schwarz waveform relaxation algorithm. We established that the algorithm is well defined
more » ... provide numerical evidences of the convergence of the method.
doi:10.1137/090770059 fatcat:whemaetbqnaa7phq27pfxdduhu