Journal of Computational Science and Technology | |
Two-Layer Viscous Shallow-Water Equations and Conservation Laws | |
Hiroshi DAN1  Hiroshi KANAYAMA1  | |
[1] Faculty of Engineering, Kyushu University | |
关键词: Shallow-Water Equations; Layer Model; Conservation Laws; Interfacial Instability; | |
DOI : 10.1299/jcst.3.373 | |
学科分类:地球科学(综合) | |
来源: Japan Academy | |
【 摘 要 】
References(12)Cited-By(1)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.
【 授权许可】
Unknown
【 预 览 】
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