Finite Element Analysis of Tidal Flow in the Osaka Bay with Subgrid Scale Eddy Coefficient

The finite element Galerkin procedure is applied to space domain of the depth-integrated shallow water equations using an isoparametric element for accurately representing the complicatedly curved boundaries. Smagorinsky's assumption is used for determining the an eddy viscosity coefficient ν T which can be made for the SGS Reynolds stresses. Since the value of ν T is evaluated from the tidal flow field of each time step, it varies in time and in space. The SGS eddy viscosity coefficients in the Osaka Bay are found to be an order of 103- 105 cm2/s heavily depending upon the flow intensity.