A Finite Element Scheme for Two-Layer Viscous Shallow-Water Equations

• 金山, 寛

  九州大学大学院工学研究院知能機械システム部門

• 檀, 啓

  九州大学大学院工学研究院知能機械システム部門

抄録

In this paper, the two-layer viscous shallow-water equations are derived from the three-dimensional Navier-Stokes equations under the hydrostatic assumption. It is 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. The two-layer equations are approximated by a finite element method which follows our numerical scheme established for the one-layer model in 1978. Finally, it is numerically demonstrated that the interfacial instability generated when the densities are the same can be eliminated by providing a sufficient density difference.

収録刊行物

• Japan Journal of Industrial and Applied Mathematics

  Japan Journal of Industrial and Applied Mathematics 23 (2), 163-191, 2006-06

  Kinokuniya

キーワード

• Layer model
• Navier-Stokes equations
• Finite element scheme

詳細情報

• CRID: 1050580007680297856
• NII論文ID: 10018231184
• NII書誌ID: AA10799861
• HANDLE: 2324/5552
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles