Comparing Two Models of Large-Scale White Sea Hydrodynamics and Thermal Dynamics

Chernov, Ilya; Tolstikov, A. V.

doi:10.17770/etr2013vol1.800

Cited by 2 publications

(4 citation statements)

References 2 publications

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“…We formulate the inverse problem of restoring the boundary functions on the "outer" and "inner" liquid boundaries as follows: find the vector functions of solutions in the subdomains Φ (i) = ( U (i) , ξ (i) ) T , i = 1, 2, and additional unknown boundary functions v, d s , satisfying the systems of Equation (9) and additional conditions of Equations (5) and (8).…”

Section: Variational Data Assimilation and The Domain Decomposition Mmentioning

confidence: 99%

“…When the stopping criterion of iterative algorithm is satisfied, the functions d k s , v k , ξ (i),k , U (i),k are taken as an approximate solution of the considered Equations (5), (8) and (9) in Ω i , i = 1, 2. Suitable stopping criterion should be chosen depending on the iterative parameters of the algorithm, size of the modelled region, numerical method, and a given accuracy.…”

Section: Iterative Algorithmmentioning

confidence: 99%

“…One-way and two-way grid-nesting techniques are devised to exchange information at the interface between fine-mesh regional models and coarse-mesh large-domain models. The use of averaged data for flows across the open boundary is also acceptable in some cases [8]. A large number of OBC have been proposed in the literature (see [9], for a review).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Domain Decomposition Method for the Variational Assimilation of the Sea Level in a Model of Open Water Areas Hydrodynamics

Agoshkov

Lezina

Sheloput

2019

JMSE

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One of the modern fields in mathematical modelling of water areas is developing hybrid coastal ocean models based on domain decomposition. In coastal ocean modelling a problem to be solved is setting open boundary conditions. One of the methods dealing with open boundaries is variational data assimilation. The purpose of this work is to apply the domain decomposition method to the variational data assimilation problem. The method to solve the problem of restoring boundary functions at the liquid boundaries for a system of linearized shallow water equations is studied. The problem of determining additional unknowns is considered as an inverse problem and solved using well-known approaches. The methodology based on the theory of optimal control and adjoint equations is used. In the paper the theoretical study of the problem is carried out, unique and dense solvability of the problem is proved, an iterative algorithm is proposed and its convergence is studied. The results of the numerical experiments are presented and discussed.

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Section: Variational Data Assimilation and The Domain Decomposition Mmentioning

confidence: 99%

Section: Iterative Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Domain Decomposition Method for the Variational Assimilation of the Sea Level in a Model of Open Water Areas Hydrodynamics

Agoshkov

Lezina

Sheloput

2019

JMSE

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“…The FEMAO model by prof. N.G. Iakovlev [4], developed for the Arctic Ocean, has been used for simulation of the White Sea [5,6]. Its sea ice block is very advanced.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity of the coupled model of the White Sea dynamics and biochemistry

Chernov¹,

Tolstikov²

2015

ETR

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<p class="R-AbstractKeywords"><span lang="EN-US">The JASMINE model based on the prof. N.G. Iakovlev's model of the Arctic Ocean (FEMAO) is the software complex for simulating hydrodynamics and thermal dynamics of a sea; we use the White Sea as an example and also have tried to model other seas. JASMINE allows coupling with special purpose blocks, such as data assimilation or simulation of the sea ecosystem. For that we chose the mature BFM model of pelagic sea biochemistry. An important question is sensitivity of the model with respect to the outer forcing, such as synoptic data (air temperature and pressure, cloud cover, precipitation, wind), boundary values on liquid boundaries, river run-off, initial distributions of the tracers. The White Sea is a convenient model region for such investigation because of dominating tides; thus boundary values become important, while initial distribution is expected not to influence on the results in the long run, at least. The biochemical system also depends on the boundary conditions strongly, and also reacts on the forcing variations. We describe the response of the sea subsystems to different variations of forcing, show what values are crucial and what is not important.</span></p>

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Comparing Two Models of Large-Scale White Sea Hydrodynamics and Thermal Dynamics

Cited by 2 publications

References 2 publications

Domain Decomposition Method for the Variational Assimilation of the Sea Level in a Model of Open Water Areas Hydrodynamics

Domain Decomposition Method for the Variational Assimilation of the Sea Level in a Model of Open Water Areas Hydrodynamics

Sensitivity of the coupled model of the White Sea dynamics and biochemistry

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