THE EFFECTS OF NON-EQUILIBRIUM SEDIMENT TRANSPORT PROCESS ON INSTABILITY OF DUNEFORMATION

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  • デューンの不安定現象に対する流砂の非平衡性の影響
  • 流量変化に対するデューン形状の応答に関する数値計算
  • リュウリョウ ヘンカ ニ タイスル デューン ケイジョウ ノ オウトウ ニ カンスル スウチ ケイサン

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Abstract

In order to enable accurate predictions of the formation of dunes, to predict the effect of non-equilibrium sediment transport process is important. The stochastic model has been known to be the non-equilibrium sediment transport formula which can describe the sediment transport lag behind the bed shear stress. In this study, we performed a linear stability analysis by the use of the stochastic model with the two dimentional Reynolds equations. The phase lag between the sediment transport and bed shear sterss is generated from step length on the sediment transport process, and the phase lag between the shear stress and flow velocity is generated from the fluid viscosity. The two phase lags are able to be theoretically predicted in this analysis. It is found that the instability of dune formation is shown by the balance of the two phase lags. We also performed a weakly nonlinear analysis. It is found that the dune-flat bed transition is charactrized by the subcritical bifurcation in the range of small bed slop and small step length.

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