Abstract
Finite difference methods generally use rectangular grids in numerical models of lake and tidal motions. A disadvantage of this approach is that first-order spatial errors occur in the values on the computational land-water boundary when the land-water boundary is forced to coincide with grid lines. An alternative method is described in this paper, in which the land-water boundary is approximated using a sequence of oblique piecewise linear segments which slice through the grid elements. Velocity information along the segmented boundary is computed using a slip boundary condition and is subsequently interpolated to nearby computational points of the rectangular grid. Impressive numerical predictions using the new approach are compared with predictions from the traditional stepped boundary model and an analytic solution for the depth-averaged solution of linearized wind-driven flow in a lake.
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