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Atmospheric and Oceanic Optics

2018 year, number 6

Numerical simulation of the hydraulic regime of the Lena River delta

A.I. Krylova, E.A. Antipova
Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Branch of the RAS, 6, Ac. Lavrentieva ave., 630090, Novosibirsk, Russia
Keywords: неустановившееся движение воды, уравнения Сен-Венана, дельта р. Лены, основные протоки, расход воды, уровень свободной поверхности, неявная разностная схема, unsteady flaw motion, Saint-Venant equations, Lena River delta, main branch, water discharge, free surface level, implicit difference scheme

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.