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In this thesis, a new finite element approach, called
streamline-upwind/Petrov-Galerkin(SUPG), was introduced to
simulate some specifiedfluid flow problem governed by Navier-
Stokes equations. The basis ofthe formulation was the streamline
upwind concept. Frist, the above approach was examined by the
example of two-dimensional steady state driven cavity flow. In
this case, the mesh was rough such thatthe needs of CPU time and
memory space were lower, the results of numericalsimulation were
well compared with other numerical results which were available
in the literatures. Secondly, for the transient problems, the
example of uniform flow past a cylinder was introduced to
simulate the problem of vortex street at Reynolds numer of 100.
Then the wiggles on the upstream of shape gradientat a high
Reynolds number was examined by the case of step channel.
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