A Fully Implicit Model of the Three-Dimensional Thermohaline Ocean Circulation

Dijkstra, Henk A.; Öksüzoǧlu, Hakan; Wubs, Fred W.; Botta, E. F. F.

doi:10.1006/jcph.2001.6908

Cited by 35 publications

(43 citation statements)

References 49 publications

(58 reference statements)

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“…In another discipline, Cactus has been used as a framework to write parallel chemical reactor flow applications, where it was found to be an effective tool for speeding up simulations across multiple processors [35]. Climate modellers at NASA and in the Netherlands have also taken interest in Cactus, and are actively developing thorns for both shallow water models and a coupling of two ocean models [36]. Other application communities prototyping applications in Cactus, or investigating its use as a framework for their applications, include the fusion simulation community, avalanche simulators, and geophysics groups, to name a few.…”

Section: Other Fieldsmentioning

confidence: 99%

The Cactus Framework and Toolkit: Design and Applications

Goodale

Allen

Lanfermann

et al. 2003

Lecture Notes in Computer Science

248

249

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Abstract. We describe Cactus, a framework for building a variety of computing applications in science and engineering, including astrophysics, relativity and chemical engineering. We first motivate by example the need for such frameworks to support multi-platform, high performance applications across diverse communities. We then describe the design of the latest release of Cactus (Version 4.0) a complete rewrite of earlier versions, which enables highly modular, multi-language, parallel applications to be developed by single researchers and large collaborations alike. Making extensive use of abstractions, we detail how we are able to provide the latest advances in computational science, such as interchangeable parallel data distribution and high performance IO layers, while hiding most details of the underlying computational libraries from the application developer. We survey how Cactus 4.0 is being used by various application communities, and describe how it will also enable these applications to run on the computational Grids of the near future. Application Frameworks in Scientific ComputingVirtually all areas of science and engineering, as well as an increasing number of other fields, are turning to computational science to provide crucial tools to further their disciplines. The increasing power of computers offers unprecedented ability to solve complex equations, simulate natural and man-made complex processes, and visualise data, as well as providing novel possibilities such as new forms of art and entertainment. As computational power advances rapidly, computational tools, libraries, and computing paradigms themselves also advance. In such an environment, even experienced computational scientists and engineers can easily find themselves falling behind the pace of change, while they redesign and rework their codes to support the next computer architecture. This

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Section: Other Fieldsmentioning

confidence: 99%

The Cactus Framework and Toolkit: Design and Applications

Goodale

Allen

Lanfermann

et al. 2003

Lecture Notes in Computer Science

248

249

View full text Add to dashboard Cite

show abstract

“…In this paper, we focus on this numerical problem and study it for ocean flows in the single-hemispheric ocean basin configuration as in Dijkstra et al [7]. The configuration is defined in Section 2 and typical computations of flows illustrating the numerical problems, are shown in Section 3.…”

Section: (B)mentioning

confidence: 99%

“…The formulation of the implicit model and a discussion of the solution methods was presented in Dijkstra et al [7]. It is, however, important that readers precisely know what equations are being solved without having to dig into previous papers.…”

Section: Ocean Flows In a Single-hemispheric Basinmentioning

confidence: 99%

“…In the results below, we use the global convective adjustment procedure as described in Dijkstra et al [7].…”

Section: Ocean Flows In a Single-hemispheric Basinmentioning

confidence: 99%

“…Motivated by the problem of determining the sensitivity and stability of equilibrium flows, fully-implicit ocean models have been developed over the last decade [7,23]. One of the direct advantages of these methods is that relatively large time steps can be taken, since the time step is determined by accuracy instead of by numerical stability constraints.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The performance of implicit ocean models on B- and C-grids

Wubs

Niet

Dijkstra

2006

Journal of Computational Physics

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Fully-implicit primitive equation ocean models are useful to study the sensitivity of steady ocean flows to parameters, to determine bifurcations of these flows associated with instabilities and to use relatively large time steps in transient flow computations. This paper addresses a problem related to the origin of wiggles occurring in fully-implicit C-grid models. The situation considered is the computation of three-dimensional thermally-driven steady flows in a midlatitude spherical sector. We determine the reason why in a coarse resolution C-grid implicit model, the values of the lateral friction coefficients are restricted to far higher values than for the same B-grid model. The analysis also reveals why the B-grid discretization is superior for the computation of this type of flows.

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Agulhas ring formation as a barotropic instability of the retroflection

Weijer

Zharkov²,

Nof

et al. 2013

Geophysical Research Letters

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Agulhas Leakage is an important link in the global ocean circulation, as it transfers a significant volume of relatively warm and salty water from the Indian Ocean to the Atlantic Ocean. The main route of this transfer is through the shedding of large Agulhas rings from the Agulhas retroflection. In this paper we study the dynamics of the ring formation process by analyzing the stability of the Indian/Atlantic supergyre in a reduced gravity model. We show that the ring‒shedding process results from a barotropic instability of the steady circulation in the Agulhas retroflection region. The destabilizing mode appears to be linked to a Rossby basin mode of the combined South Indian/Atlantic basin, which is localized in the retroflection region by the background flow.

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A Fully Implicit Model of the Three-Dimensional Thermohaline Ocean Circulation

Abstract: In this paper, a fully implicit numerical model of the three-dimensional thermoha-

Cited by 35 publications

References 49 publications

The Cactus Framework and Toolkit: Design and Applications

The Cactus Framework and Toolkit: Design and Applications

The performance of implicit ocean models on B- and C-grids

Agulhas ring formation as a barotropic instability of the retroflection

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