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This study simulates the wave deformation of a nonbreaking solitary wave and the reflected back by a vertical wall and radiation condition behind a submerged breakwater, the runup on a linear sloping wall and a stepped sloping wall. The extent to which they influence the height of a runup is also examined using various segment lengths of a stepped sloping wall. In addition, the explicit leap-flog finite difference scheme with staggered grid is used to solve the shallow water equations which consider the bed shear stresses. In light of the importance of bed shear stresses in the long wave, comparing the simulated results of bed shear stresses and without bed shear stresses with those of the asymptotic analytic solution of Synolakis (1996,1987) reveals that the results with bed shear stresses more closely correspond to the analytical solutions than those without bed shear stresses. For a with stepped sloping wall, the simulated results are also more stable by considering bed shear stresses. In sum, results obtained from bed shear stresses approximate the actual physical phenomenon better than those without bed shear stresses. And for discussion on the height of runup, the segment length of stepped sloping wall is more longer, the runup and rundown are more shorter. It fits the Synolakis (1996,1987)'s asymptotic analytic solution.
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