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This thesis applied a numerical method to simulatea an
inviscid planesubmerged jet that initially discharged from
the bottom of a channel intothe shallow water as the first
example to be studied.For the second example,flows for an
initial jet into a confinedchannel with or without
viscouseffects were examined. In addition, a model experiment
was carried out toobserve the phenomenon of waterwaves on the
free surface. The dependency ofthe Froude number (basedon jet
velocity and water depth) and the jet width tothese
twodisturbed flows either with or without a free
surface wasinvestigated, by solving streamfunction and
vorticity formulations withcomplete nonlinear conditions
on the free surface and otherboundaries. Thesolutions
calculated by the Finite-Analytic method and LSOR iterative
schemein a transient boundary-fitted grid wereconsidered
to be time-accurate.For the first example of this thesis, the
wave evolution on the freesurface, interior flow
patterns (such as instantaneous streamlines), thelocation
of stagnation point on the free surface, the trajectory of
tracedfluid particles and pressure distributionalong the
jet were discussed.On the other hand, for the second
of this thesis, the instantaneousstreamlines and iso-
vorticity lineswere presented. The related physicalin sight
of both numerical results was investigated in detail.
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