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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2007 Volume 10, Number 1, Pages 43–60 (Mi sjvm66)

This article is cited in 1 paper

On modeling of hydraulic bore propagation at incline bank

N. M. Borisova

M. A. Lavrent'ev Institute of Hydrodynamics

Abstract: In the present paper, the numerical algorithm for the hydraulic bore propagation onto a dry channel on the basis of the shallow water equations is proposed. This algorithm is based on a modified total momentum conservation law. The results of numerical simulation of generation, propagation and run-up onto the inclined shore of the hydraulic bore, arising after the total or partial (in the two-dimensional case) dam-break, and of the wave like tsunami, arising after a quick local bottom rise.

Key words: the theory of shallow water equations, hydraulic bore, dry channel, inclined shore.

UDC: 519.63

Received: 06.12.2005
Revised: 23.03.2006



© Steklov Math. Inst. of RAS, 2026