Abstract
The nonlinear problem of steady flow of an incompressible stratified fluid of finite depth over an obstacle is investigated by using a numerical algorithm which solves both obstacle height and flow fields simultaneously instead of solving the flow fields, given the obstacle height. We also find, for a given upstream condition, a maximum obstacle height over which steady flows are possible, not allowing discontinuities or closed streamlines. This maximum height is a functional of the upstream density stratification and the velocity shear. We calculate this functional dependence for a number of specific upstream conditions. It is also shown that the number of layers required in the model to represent a flow field increases as the Froude number decreases or as the vertical wave number increases. The hydrostatic and finite depth assumptions are essential in our method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
