Constant vorticity two-layer flows over variable bottom at arbitrary latitude

被引：0

作者：

Miao, Fahe ^{[1
]}

Liu, Hui ^{[2
]}

机构：

[1] Shandong Agr Univ, Sch Informat Sci & Engn, Tai An, Peoples R China

[2] Univ Jinan, Sch Math Sci, Jinan, Peoples R China

来源：

APPLICABLE ANALYSIS | 2024年

基金：

中国国家自然科学基金;

关键词：

Stratification; vorticity; Coriolis force; STRATIFIED EQUATORIAL FLOWS; WATER-WAVES; FREE-SURFACE;

D O I：

10.1080/00036811.2024.2431618

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the three-dimensional constant vorticity stratified geophysical flows over a variable bottom at arbitrary latitude. It is proved that the geophysical flows in the two layers are necessarily irrotational, one of the horizontal component of the velocity is constant, the other two components are zero. Moreover, the free surface presents a traveling character in the horizontal direction of the nonvanishing velocity component.

引用

页数：9

共 50 条

[41] Roll waves and plugs in two-layer flows
Boudlal, A.
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2008, 19 : 1 - 19
[42] INTERNAL WAVES IN TWO-LAYER STRATIFIED FLOWS
Makarenko, N.I.
Maltseva, J.L.
Cherevko, A.A.
Journal of Applied Mechanics and Technical Physics, 2022, 63 (06): : 1022 - 1029
[43] AN EFFICIENT INTERFACE HYDROSTATIC RECONSTRUCTION FOR THE TWO-LAYER SHALLOW FLOWS WITH ARBITRARY WET-DRY FRONTS
Dong, Jian
Li, Dingfang
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2024, 22 (06) : 1657 - 1684
[44] Non-hydrostatic simulation of two-layer density stratified flows over a sill
Shi, Jian
Zhu, Dewang
Cai, Zhiliang
Cao, Xiangming
OCEAN ENGINEERING, 2024, 291
[45] Integral-equation approach to resonances in circular two-layer flows around an island with bottom topography
Rabinovich, Michael
PHYSICS OF FLUIDS, 2020, 32 (05)
[46] Two-layer variable slot length reflectarray
Chang, The-Nan
Chung, Chia-Hsin
PIERS 2008 HANGZHOU: PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM, VOLS I AND II, PROCEEDINGS, 2008, : 189 - 191
[47] Hydrofoil flow over the interface of a two-layer heavy fluid with a free surface and rigid bottom
Kirillin, K. V.
Filippov, S. I.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2010, 50 (09) : 1553 - 1560
[48] Hydrofoil flow over the interface of a two-layer heavy fluid with a free surface and rigid bottom
K. V. Kirillin
S. I. Filippov
Computational Mathematics and Mathematical Physics, 2010, 50 : 1553 - 1560
[49] Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity
Embid, PF
Majda, AJ
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1996, 21 (3-4) : 619 - 658
[50] Two-layer geostrophic tripoles comprised by patches of uniform potential vorticity
Shteinbuch-Fridman, Biana
Makarov, Viacheslav
Carton, Xavier
Kizner, Ziv
PHYSICS OF FLUIDS, 2015, 27 (03)

← 1 2 3 4 5 →