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Journal Title: Компьютерные исследования и моделирование

ISSN: 2076-7633 (Print); 2077-6853 (Online)

Publisher: Institute of Computer Science

LCC Subject Category: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | Science: Mathematics

Country of publisher: Russian Federation

Language of fulltext: Russian

Full-text formats available: PDF

 

AUTHORS


Yuliya Georgievna Krat

Igor’ Ivanovich Potapov

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 15 weeks

 

Abstract | Full Text

The movement of bed load along the closed conduit can lead to a loss of stability of the bed surface, when bed waves arise at the bed of the channel. Investigation of the development of bed waves is associated with the possibility of determining of the bed load nature along the bed of the periodic form. Despite the great attention of many researchers to this problem, the question of the development of bed waves remains open at the present time. This is due to the fact that in the analysis of this process many researchers use phenomenological formulas for sediment transport in their work. The results obtained in such models allow only assess qualitatly the development of bed waves. For this reason, it is of interest to carry out an analysis of the development of bed waves using the analytical model for sediment transport. The paper proposed two-dimensional profile mathematical riverbed model, which allows to investigate the movement of sediment over a periodic bed. A feature of the mathematical model is the possibility of calculating the bed load transport according to an analytical model with the Coulomb-Prandtl rheology, which takes into account the influence of bottom surface slopes, bed normal and tangential stresses on the movement of bed material. It is shown that when the bed material moves along the bed of periodic form, the diffusion and pressure transport of bed load are multidirectional and dominant with respect to the transit flow. Influence of the effects of changes in wave shape on the contribution of transit, diffusion and pressure transport to the total sediment transport has been studied. Comparison of the received results with numerical solutions of the other authors has shown their good qualitative initiation.