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- W2010529306 abstract "The two-dimensional flow of a mass of cohesionless granular material downa rough bed is studied by the use of the method of strained coordinates. The work is relevant to the motion of rockfalls, ice avalanches and dense flowing snow avalanches. By appropriate non-dimensionalization, a small parameter ∈, which is the ratio of the characteristic length to depth of the pile, appears in the equations of motion. Perturbation expansions for the depth and velocity profiles of the moving mass, and the strained coordinate are introduced. The differential equations for terms of various orders are solved and the resulting divergent series are summed by the use of Shanks transformations and Padé approximants. The analysis is carried out with the symbolic manipulation package REDUCE 3.3 and these results are translated by means of GENTRAN into C-code for numerical evaluation. The analytical form of the solution suggested the existence of similarity solutions for certain initial conditions. The analysis also demonstrated the inadequacies of a finite difference routine; this led to the development of a much improved numerical scheme." @default.
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- W2010529306 date "1990-04-01" @default.
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- W2010529306 title "Symbolic computation of the flow of granular avalanches" @default.
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- W2010529306 doi "https://doi.org/10.1016/s0747-7171(08)80025-9" @default.
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