WEAKLY NONLINEAR STABILITY ANALYSIS OF FLUVIAL DUNES BY THE USE OF THE MIXING LENGTH TURBULENT MODEL

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  • 混合距離モデルを用いた河床デューンの弱非線形安定解析
  • サス ガ ユウキ スル ギジ ダコウ ゲンショウ

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Abstract

Weakly nonlinear stability analysis of fluvial dunes is performed with the use of the growth rate expansion method incorporated with the multiple scale parturbation technique. Open channel flow is modeled by the mixing length turbulent model. A series of perturbation equations are solved by the use of spectral collocation method with Chebyshev polynomial. The analysis reveals that the dune-flat bed transition is characterized by subcritical bifurcation when the resistant coefficient C-1 is large.

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