Tr. Mat. Inst. Steklova, 2018, Volume 300, Pages 229–239
Mathematical modeling of slope flows of non-Newtonian media
M. E. Eglita, A. E. Yakubenkob, J. S. Zaykoab
a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
b Institute of Mechanics, Moscow State University, Michurinskii pr. 1, Moscow, 119192 Russia
The paper is devoted to the mathematical modeling of the dynamics of geophysical flows on mountain slopes, e.g., rapid landslides, debris flows, avalanches, lava flows, etc. Such flows can be very dangerous for people and various objects. A brief description is given of models that have been used so far, as well as of new, more sophisticated, models, including those developed by the authors. In these new models, nonlinear rheological properties of the moving medium, entrainment of the underlying material, and the turbulence are taken into account. The results of test simulations of flows down long homogeneous slopes are presented, which demonstrate the influence of rheological properties, as well as of turbulence and mass entrainment, on the behavior of the flow.
|Russian Foundation for Basic Research
|This work was supported by the Russian Foundation for Basic Research, project nos. 15-01-00361 and 15-01-08023.
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Proceedings of the Steklov Institute of Mathematics, 2018, 300, 219–229
Received: November 2, 2017
M. E. Eglit, A. E. Yakubenko, J. S. Zayko, “Mathematical modeling of slope flows of non-Newtonian media”, Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Tr. Mat. Inst. Steklova, 300, MAIK Nauka/Interperiodica, Moscow, 2018, 229–239; Proc. Steklov Inst. Math., 300 (2018), 219–229
Citation in format AMSBIB
\by M.~E.~Eglit, A.~E.~Yakubenko, J.~S.~Zayko
\paper Mathematical modeling of slope flows of non-Newtonian media
\inbook Modern problems and methods in mechanics
\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov
\serial Tr. Mat. Inst. Steklova
\publ MAIK Nauka/Interperiodica
\jour Proc. Steklov Inst. Math.
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