二層粘性浅水波方程式と保存則(流体工学,流体機械)

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タイトル別名
  • Two-Layer Viscous Shallow-Water Equations and Conservation Laws(Fluids Engineering)
  • 二層粘性浅水波方程式と保存則
  • ニソウ ネンセイセンスイハ ホウテイシキ ト ホゾンソク

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In our previous papers, the two-layer viscous shallow-water equations were derived from the three-dimensional Navier-Stokes equations under the hydrostatic assumption. Also, it was noted that the combination of upper and lower equations in the two-layer model produces the classical one-layer equations if the density of each layer is the same. Then, the two-layer equations were approximated by a finite element method which followed our numerical scheme established for the one-layer model in 1978. Also, it was numerically demonstrated that the interfacial instability generated when the densities are the same can be eliminated by providing a sufficient density difference. In this paper, we newly show that conservation laws are still valid in the two-layer model. Also, we show results of a new physical experiment for the interfacial instability.

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