Two-Layer Viscous Shallow-Water Equations and Conservation Laws

Journal of Computational Science and Technology

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