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Inviscid flows of stably stratified fluids over barriers
Author(s) -
Pao Y.H.
Publication year - 1969
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49709540308
Subject(s) - inviscid flow , compressibility , stratified flow , vortex , stratified flows , mechanics , constant (computer programming) , amplitude , domain (mathematical analysis) , physics , richardson number , geology , mathematics , mathematical analysis , turbulence , optics , computer science , programming language
Steady, inviscid, incompressible, two‐dimensional flows of stably stratified fluids over a barrier or barriers are examined theoretically. The density gradient and u ρ 1/2 are assumed to be constant upstream, where ρ is the density and u is the horizontal velocity. Exact solutions of large amplitude waves valid for arbitrary Richardson numbers are obtained for barriers of finite height in a semi‐infinite domain or in a confined channel. These barriers are constructed from vortex pairs and doublets.