Bifurcation analysis of 3D ocean flows using a parallel fully-implicit ocean model |
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| Authors: | Jonas Thies Fred Wubs Henk A Dijkstra |
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| Institution: | aDepartment of Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands;bInstitute for Marine and Atmospheric Research Utrecht, Utrecht University, Utrecht, The Netherlands |
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| Abstract: | To understand the physics and dynamics of the ocean circulation, techniques of numerical bifurcation theory such as continuation methods have proved to be useful. Up to now these techniques have been applied to models with relatively few  degrees of freedom such as multi-layer quasi-geostrophic and shallow-water models and relatively low-resolution (e.g., 4° horizontal resolution) primitive equation models. In this paper, we present a new approach in which continuation methods are combined with parallel numerical linear system solvers. With this implementation, we show that it is possible to compute steady states versus parameters (and perform fully implicit time integration) of primitive equation ocean models with up to a few million degrees of freedom. |
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| Keywords: | Bifurcation Newton– Krylov methods Implicit ocean model Parallel implementation Dynamical system Trilinos |
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