IDEAL PLANAR FLUID FLOW OVER A SUBMERGED OBSTACLE: REVIEW AND EXTENSION

Autor:	S. J. Walters, Graeme C. Hocking, Lawrence K. Forbes
Rok vydání:	2021
Předmět:	Mathematics (miscellaneous) Planar Ideal (set theory) Obstacle Fluid dynamics Mechanics Extension (predicate logic) Geology
Zdroj:	The ANZIAM Journal. 63:377-419
ISSN:	1446-8735 1446-1811
DOI:	10.1017/s1446181121000341
Popis:	A classical problem in free-surface hydrodynamics concerns flow in a channel, when an obstacle is placed on the bottom. Steady-state flows exist and may adopt one of three possible configurations, depending on the fluid speed and the obstacle height; perhaps the best known has an apparently uniform flow upstream of the obstacle, followed by a semiinfinite train of downstream gravity waves. When time-dependent behaviour is taken into account, it is found that conditions upstream of the obstacle are more complicated, however, and can include a train of upstream-advancing solitons. This paper gives a critical overview of these concepts, and also presents a new semianalytical spectral method for the numerical description of unsteady behaviour.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7039c507e2907345bb44bfffc983e90c https://doi.org/10.1017/s1446181121000341 Zobrazit plný text záznamu