Vol. 31, issue 06, article # 7

Abstract:

The work is devoted to numerical simulation of the hydraulic regime of the Lena River delta based on the system of Saint-Venant equations. This system describes the unsteady motion of the river flow in one-dimensional approximation. The numerical solution of Saint-Venant differential equations is based on the use of an absolutely stable implicit difference scheme and a specially developed method of Gaussian elimination for a “tree” graph of branched and looped sections of the river network. The calculated water discharge distribution over the main branches of Lena River delta and the comparison between modeling runoff at the Olenekskaya hydrometric cross sections with the field data in 2005 are presented.

Keywords:

unsteady flaw motion, Saint-Venant equations, Lena River delta, main branch, water discharge, free surface level, implicit difference scheme

References:

1. Fedorova I.V., Bol'shiyanov D.Yu., Makarov A.S., Tret'yakov M.V., Chetverova A.A. Sovremennoe gidrologicheskoe sostoyanie del'ty r. Leny // Sistema morya Laptevyh i prilegayushchih morej Arktiki: sovremennoe sostoyanie i istoriya razvitiya. M.: Izd-vo MGU, 2009. P. 278–291.
2. Bol'shiyanov D.Yu., Makarov A.S., Shnajder V., Shtof G. Proiskhozhdenie i razvitie del'ty reki Lena. SPb.: Renova, 2013. 267 p.
3. Gukov A.Yu. Gidrologiya ust'evoj oblasti reki Lena. M.: Nauchnyj mir, 2001. 288 p.
4. Voevodin A.F., Nikiforovskaya V.S., Ovcharova A.S. Chislennye metody resheniya zadachi o neustanovivshemsya dvizhenii vody na ust'evyh uchastkah rek // Tr. AANII. 1983. V. 378. P. 23–34.
5. Ivanov V.V., Kotrekhov E.P. Opyt chislennogo modelirovaniya neustanovivshegosya dvizheniya vody v mnogorukavnoj del'te reki // Tr. AANII. 1971. V. 314. P. 16–35.
6. Ivanov V.V., Kotrekhov E.P. Otsenka vliyaniya rechnogo stoka na rezhim urovnej ust'evogo uchastka Eniseya // Tr. AANII. 1976. V. 314. P. 120–151.
7. Ivanov V.V., Mihalev M.A., Marchenko A.S., Piskun A.A., Chernin K.E. Gidravlicheskij metod rascheta vodnogo i ruslovogo rezhima v mnogorukavnyh ruslah rek // Tr. AANII. 1983. V. 378. P. 5–22.
8. Aleshkin S.A., Babich D.B., Mihajlov V.N. Matematicheskaya model' raspredeleniya raskhodov vody po rukavam del'ty reki YAny // Vestn. Mosk. un-ta. Ser. 5. Geografiya. 2002. N 5. P. 43–49.
9. Semenchin E.A., Vandina N.V. Analiz sistemy uravnenij Sen-Venana analiticheskimi i chislennymi metodami // Nauch. zhurn. KubGAU. 2010. N 64(10). P. 1–14.
10. Shlychkov V.A., Platov G.A., Krylova A.I. A coupled hydrodynamic system of the Lena River delta and the Laptev Sea shelf zone: The model tuning and preliminary results of numerical simulation // Bull. Non. Comp. Center, Num. Model. in Atmosph., etc. 2014. V. 14. P. 81–103.
11. Chalov R.S., Panchenko V.M., Zernov S.YA. Vodnye puti bassejna Leny. M.: MIKIS, 1995. 600 p.
12. Alekseevskij N.I., Magritskij D.V., Ajbulatov D.N. Osobennosti i otsenki prostranstvenno-vremennoj izmenchivosti rechnogo stoka v mnogorukavnoj del'te r. Leny // Menyayushchijsya klimat i sotsial'no-ekonomicheskij potentsial Rossijskoj Arktiki. M.: Liga-Vent, 2016. V. 2. P. 65–95.
13. Fedorova I., Chetverova A., Bolshiyanov D., Makarov A., Boike J., Heim B., Morgenstern A., Overduin P., Wegner C., Kashina V., Enlenburg A., Dobrotina E., Sidorina I. Lena Delta hydrology and geochemistry: Long-term hydrological data and recent field observations // Biogeosci. 2015. V. 12. P. 345–363.