|
Article information
2022 , Volume 27, ¹ 4, p.4-14
Arkhipov B.V., Shapochkin D.A.
Mo delling of salinity p enetration into the Ob bay using curved meshes
The paper considers the problem of salinity penetration into the Ob Bay and the influence of the sea channel in the Ob bar on it. The dimensions of the channel are about 50 km in length, 300–400 min width and 4–5 min depth, while the size of the Gulf of Ob is ab out 800 km in length, ab out 60 km wide and no more than 30 m deep in the northern part. It follows that the complexity of the problem under consideration lies, on the one hand, in the need to connect two spatial scales: a small one, asso ciated with the size of the channel, and a large one, asso ciated with the size of the estuary, and on the other hand, in the need to consider different time scales. Perhaps the only method of solving such a problem is the method of mathematical modelling, which is carried out on the basis of a three-dimensional model of geophysical hydro dynamics, taking into account the turbulent mechanisms of vertical mixing. To take into account the presence of a “small parameter” in the form of a channel, the solution is carried out on a curved orthogonal grid, which is condensed in the channel region. The degree of grid deformation can be estimated by comparing the minimum cell size in the channel area, which is ab out 200 m with the maximum cell size of 30 km or more. The paper compares calculations and observations for the 1993 expedition, additionally compares Cartesian grids with constant steps of 3000 m and 1500 m with calculations on a curved grid with a minimum step of 200 m and 100 m, it is shown that the results in different variants are close. Channel accounting is possible only when using a curved and/or nested grid. The comparison carried out on a curved grid with a channel and without a channel showed that the influence of the channel is not significant and cannot cause a significant restructuring of the salinity field
[full text] [link to elibrary.ru]
Keywords: mathematical mo delling, curved grids, salinity intrusion
doi: 10.25743/ICT.2022.27.4.002
Author(s):
Arkhipov Boris Vitalevich
PhD.
Office: Federal Research Center Computer Science and Control of the Russian Academy of Sciences
Address: 119333, Russia, Moscow, st. Vavilova, 44, building 2
Phone Office: (495) 1355139
E-mail: arh12.bor12@yandex.ru
SPIN-code: 4877-9323Shapochkin Dmitry Alekseevich
Position: Software Engineer
Office: Federal Research Center Computer Science and Control of the Russian Academy of Sciences
Address: 119333, Russia, Moscow, st. Vavilova, 44, building 2
Phone Office: (495) 1355139
E-mail: shap@progtech.ru
SPIN-code: 4877-9323 References:
1. Arkhipov B.V., Alabyan A.M. Dmitrieva A.A., Solbakov V.V., Shapochkin D.A. Modeling of the navigation canal to the port of Sabetta influence on the Ob gulf hydro dynamics and salinity. Georisk. 2018; 12(1):46–58. (In Russ.)
2. Knizhnikov A.Yu., Golubchikov S.N., Zaitseva Yu.B. On the possible environmental consequences of the “Yamal LNG” project. Rybnoe Khozaystvo. 2013; (6):18–21. (In Russ.)
3. Ekspeditsionnye issledovaniya VNI IOkeangeologiya v Arktike, Antarktike i Mirovom okeane v 2005 godu. Ezhegodnyy obzor [Expedition research of VNI IOKEANGEOLOGY in the Arctic, Antarctic and the World Ocean in 2005. Annual review]. St. Petersburg: VNI IOkeangeologiya; 2006: 122. (In Russ.)
4. Vinogradova E.L. On the variability of biogenic runoff of rivers in the Arctic basin. Oceanology. 2008; 48(4):527–536. (In Russ.)
5. Gidrometeorologicheskie usloviya shel’fovoy zony morey SSSR. T. 7. Karskoe more [Hydrometeorological conditions of the shelf zone of the seas of the USSR. Vol. 7. Kara Sea]. Leningrad: Hydrometeoizdat; 1986: 97. (In Russ.)
6. Lotsiya Karskogo morya Ob’-Eniseyskogo rayona [Sailing directions of the Kara Sea of the Ob-Yenisei region. Part 2]. St. Petersburg: Gosudarstvennoe Upravlenie Navigatsii i Okeanografii MO RF; 2001: 292. (In Russ.)
7. Harms I.H., Karcher M.J. Modelling the seasonal variability of circulation and hydrography in the Kara Sea. Journal of Geophysical Research. 1999; 104(C6):13431–13448.
8. Harms I.H., H ̈ubner U., Backhaus J.O., Kulakov M., Stanovoy V., Stepanets O.V., Kodina L.A., Schelitzer R. Salt intrusions in Siberian river estuaries: observations and model experiments in Ob and Yenisey. R. Stein, K. Fahl, D.K. F ̈utterer, E.M. Galimov, O.V. Stepanets (Eds.). Siberian river run-off in the Kara Sea. Amsterdam, Netherlands: Elsevier Science; 2003: 27–46.
9. Arkhipov B.V., Solbakov V.V., Tsvetsinsky A.S. Hydrothermodynamic model of the Ob and Tas rivers estuary. Proceedings of the Seventh International Offshore and Polar Engineering Conference. Honolulu; USA; May 25–30, 1997; (3):772–777.
10. Oey L.-Y., Mellor G.L., Hires R.I. A three-dimensional simulation of the Hudson — Raritan estuary. Part I: description of the model and model simulations. Journal of Physical Oceanography. 1985; (15):1676–1692.
11. Delft3D-FLOW user manual. Netherlands: Deltares; 2013: 257. Available at: www.deltressystem.nl.
12. The Princeton ocean model. The program in atmospheric and oceanic sciences (AOS). Princeton University; 2010; (3):160.
13. Burchard H., Baumert H. On the performance of a mixed-large model based on the 𝑘−𝜀 turbulence closure. Journal of Geophysical Research. 1995; 100(C5):217–225.
14. Arkhipov B.V., Koterov V.N., Solbakov V.V., Shapochkin D.A. Modelirovanie turbulentnogo rasseivaniya zagryaznyayushchikh veshchestv v morskoy srede. Soobshcheniya po prikladnoy matematike [Modelling of turbulent dispersion of pollutants in the marine environment. Messages on applied mathematics]. Moscow: VTs RAN; 2005: 52. (In Russ.)
15. Burenkov V.I., Vasilkov A.P. On the influence of continental runoff on the spatial distribution of hydrological characteristics of the waters of the Kara Sea. Oceanology. 1994; (5):652–661. (In Russ.)
Bibliography link:
Arkhipov B.V., Shapochkin D.A. Mo delling of salinity p enetration into the Ob bay using curved meshes // Computational technologies. 2022. V. 27. ¹ 4. P. 4-14
|
