Determination of the coastal rate of erosion for the rivers with sandy bottom
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2011), pp. 116-120 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We propose a mathematical model for a coastal slope development of a plains river with a sandy bottom. To determine the transportation of bed sediments the original analytical law, which does not contain phenomenological parameters has been used. To solve the problem we suggest splitting the computational domain into two subregions according to the dominant mechanisms of deformation of the bottom. We have obtained an asymptotic formula, which determines the rate of retreat for the coastal slope, and accurate to the factor complies with the empirical formula of L. I. Vikulova.
Keywords: coastal deformation, channel processes
Mots-clés : sediment transport.
@article{VUU_2011_4_a9,
     author = {I. I. Potapov and M. A. Shchekacheva},
     title = {Determination of the coastal rate of erosion for the rivers with sandy bottom},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {116--120},
     year = {2011},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_4_a9/}
}
TY  - JOUR
AU  - I. I. Potapov
AU  - M. A. Shchekacheva
TI  - Determination of the coastal rate of erosion for the rivers with sandy bottom
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2011
SP  - 116
EP  - 120
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VUU_2011_4_a9/
LA  - ru
ID  - VUU_2011_4_a9
ER  - 
%0 Journal Article
%A I. I. Potapov
%A M. A. Shchekacheva
%T Determination of the coastal rate of erosion for the rivers with sandy bottom
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2011
%P 116-120
%N 4
%U http://geodesic.mathdoc.fr/item/VUU_2011_4_a9/
%G ru
%F VUU_2011_4_a9
I. I. Potapov; M. A. Shchekacheva. Determination of the coastal rate of erosion for the rivers with sandy bottom. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2011), pp. 116-120. http://geodesic.mathdoc.fr/item/VUU_2011_4_a9/

[1] Potapov I. I., Bondarenko B. V., “Modelirovanie evolyutsii poperechnogo secheniya peschanogo kanala”, Vychislitelnye tekhnologii, 14:5 (2009), 79–91 | Zbl

[2] Callander R. A., “Instability and river channels”, J. Fluid Mech., 36:3 (1969), 465–480 | DOI

[3] Parker G., “On the cause and characteristic scales of meandering and braiding in rivers”, J. Fluid Mech., 76:3 (1976), 457–480 | DOI | Zbl

[4] Blondeaux P., Seminara G., “A unified barbend theory of river meanders”, J. Fluid Mech., 157 (1985), 449–470 | DOI

[5] Ikeda S., Parker G., Saway K., “Bend theory of river meanders. Part 1. Linear development”, J. Fluid Mech., 112 (1981), 363–377 | DOI | Zbl

[6] Ikeda S., Parker G., Kimura Y., “Stable width and depth of straight gravel rivers with heterogeneous bed materials”, Water Resour. Res., 24:5 (1988), 713–722 | DOI

[7] Vikulova L. I., “Voprosy metodiki rascheta samorazmyva kanalov”, Trudy Gidroproekta, 12, 1964, 294–305

[8] Devauchelle O., Josserand C., Lagree P.-Y., Zaleski S., “Mobile bank conditions for laminar microrivers”, Comptes Rendus Geoscience, 340:11 (2008), 732–740 | DOI

[9] Petrov A. G., Potapov I. I., “O razvitii vozmuschenii peschanogo dna kanala”, DAN, 431:2 (2010), 191–195 | Zbl