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Free Content New similarity solutions of the thermocline equations with vertical variations of diffusion

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Three new classes of exact solution of the thermocline equations are obtained through use of an ansatz based method (Clarkson and Kruskal, 1989), which is related to the older Classical Lie Group Method used by Salmon and Hollerbach (1991) to obtain exact solutions. The newer method has not previously been applied to oceanographic problems. Our results are more general than those of Salmon and Hollerbach in two distinct ways: we obtain new classes of solution not obtainable by the older method and, in addition, we determine solutions in which the vertical temperature diffusion profile is an arbitrary function of depth. Application of the solutions to understand the control of the main thermocline is considered in a companion paper.

Document Type: Research Article


Publication date: March 1, 1996

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  • The Journal of Marine Research publishes peer-reviewed research articles covering a broad array of topics in physical, biological and chemical oceanography. Articles that deal with processes, as well as those that report significant observations, are welcome. In the area of biology, studies involving coupling between ecological and physical processes are preferred over those that report systematics. Authors benefit from thorough reviews of their manuscripts, where an attempt is made to maximize clarity. The time between submission and publication is kept to a minimum; there is no page charge.
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