Bifurcation analysis of wind-driven flows with MOM4 |
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Authors: | Erik Bernsen Henk A. Dijkstra Fred W. Wubs |
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Affiliation: | aInstitute for Marine and Atmospheric Research Utrecht, Department of Physics and Astronomy, Utrecht University, 3584CC Utrecht, The Netherlands;bDepartment of Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands |
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Abstract: | In this paper, the methodology of bifurcation analysis is applied to the explicit time-stepping ocean model MOM4 using a Jacobian–Free Newton–Krylov (JFNK) approach. We in detail present the implementation of the JFNK method in MOM4 but restrict the preconditioning technique to the case for which the density distribution is prescribed. For a prescribed density field case, we present bifurcation diagrams, for the first time in MOM4, for the wind-driven ocean circulation. In addition, we show that the JFNK method can reduce the spin-up time to a steady equilibrium in MOM4 considerably if an accurate solution is required. |
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Keywords: | Bifurcation analysis Jacobian– Free Newton– Krylov method Steady state Wind-driven circulation Nonlinear equations Numerical analysis |
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