Numerical Study of Solitary Wave Interaction with a Submerged Semicircular Cylinder

Figure 1

The principal of the CIP method. (a) The solid line is the initial profile and the dashed line is an exact solution after advection. (b) The discretized points. (c) When (b) is linearly interpolated, numerical diffusion appears. (d) In the CIP method, the spatial derivative also propagates and the profile inside a grid cell is retrieved. (e) CIP scheme as a semi-Lagrangian method [21].

(a)

(b)

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(d)

(e)