Geodesic
Numerical study of the Kelvin-Helmholtz instability resolution in a~floodplain channel flow
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 10 (2007) no. 4, pp. 417-428.

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Models of water flows with different velocities in the river channel are studied. The tangential velocity discontinuity causes development of the so-called Kelvin and Helmholtz instability. The mathematical statement of the problem of studying instability based on the two-dimensional planimetric equations of the turbulent flow hydrodynamics was formulated. When constructing a numerical model, a finite difference scheme of a high spatial resolution is used, providing a possibility of the direct description of large eddies generated in the turbulence field on the line of separation. Analysis of energy transformations in the system “channel-floodplain” is made, the possibility of realization of the antigradient transport, known as negative viscosity phenomenon, is shown. 
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V. A. Shlychkov. Numerical study of the Kelvin-Helmholtz instability resolution in a~floodplain channel flow. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 10 (2007) no. 4, pp. 417-428. http://geodesic.mathdoc.fr/item/SJVM_2007_10_4_a7/

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