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- W1976070769 abstract "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." @default.
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- W1976070769 date "2009-01-01" @default.
- W1976070769 modified "2023-09-26" @default.
- W1976070769 title "Two-Layer Viscous Shallow-Water Equations and Conservation Laws" @default.
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- W1976070769 doi "https://doi.org/10.1299/jcst.3.373" @default.
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