Analysis of numerical stability of algebraic oceanic turbulent mixing layer models
In this paper, we study the stability of oceanic turbulent mixing layers by the finite element method with respect to perturbations of the data. We prove that the equilibria states depend continuously on the data, and that they are asymptotically stable in time, when approximated by standard numeric...
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| Veröffentlicht in: | Applied mathematical modelling 2014-12, Vol.38 (24), p.5836-5857 |
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| container_title | Applied mathematical modelling |
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| creator | Chacón Rebollo, T. Gómez Mármol, M. Rubino, S. |
| description | In this paper, we study the stability of oceanic turbulent mixing layers by the finite element method with respect to perturbations of the data. We prove that the equilibria states depend continuously on the data, and that they are asymptotically stable in time, when approximated by standard numerical schemes. We also perform some numerical tests for realistic initial conditions, that also show that the mixing-layer configurations are stable under perturbations of the data, in addition to confirm the theoretical expectations of our analysis. |
| doi_str_mv | 10.1016/j.apm.2014.04.050 |
| format | Article |
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| language | eng |
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| subjects | Approximation Asymptotic properties Eddy diffusion models Gradient Richardson number Initial conditions Mathematical analysis Mathematical models Oceanic turbulent mixing layers Perturbation methods Primitive Equations of the ocean Turbulent mixing |
| title | Analysis of numerical stability of algebraic oceanic turbulent mixing layer models |
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