Smoothly attaching bow flows with constant vorticity
Author(s)
McCue, Scott William
Forbes, Lawrence K.
Griffith University Author(s)
Year published
2001
Metadata
Show full item recordAbstract
The free surface flow of a finite depth fluid past a semi-infinite body is
considered. The fluid is assumed to have constant vorticity throughout
and the free surface is assumed to attach smoothly to the front face of the
body. Numerical solutions are found using a boundary integral method in
the physical plane and it is shown that solutions exist for all
supercritical Froude numbers. The related problem of the cusp-like flow
due to a submerged sink in a corner is also considered. Vorticity is
included in the flow and it is shown that the behaviour of the solutions
is qualitatively the same as that found in the problem ...
View more >The free surface flow of a finite depth fluid past a semi-infinite body is considered. The fluid is assumed to have constant vorticity throughout and the free surface is assumed to attach smoothly to the front face of the body. Numerical solutions are found using a boundary integral method in the physical plane and it is shown that solutions exist for all supercritical Froude numbers. The related problem of the cusp-like flow due to a submerged sink in a corner is also considered. Vorticity is included in the flow and it is shown that the behaviour of the solutions is qualitatively the same as that found in the problem described above.
View less >
View more >The free surface flow of a finite depth fluid past a semi-infinite body is considered. The fluid is assumed to have constant vorticity throughout and the free surface is assumed to attach smoothly to the front face of the body. Numerical solutions are found using a boundary integral method in the physical plane and it is shown that solutions exist for all supercritical Froude numbers. The related problem of the cusp-like flow due to a submerged sink in a corner is also considered. Vorticity is included in the flow and it is shown that the behaviour of the solutions is qualitatively the same as that found in the problem described above.
View less >
Journal Title
ANZIAM Journal
Volume
42
Issue
3
Publisher URI
Subject
Mathematical Sciences
Engineering