Numerical analysis of the weakly nonlinear Boussinesq system with a freely moving body on the bottom

By considering an inviscid fluid and assuming that the flow is incompressible and irrotational, the wave motion is described in terms of the velocity potential and the free

Let us now address the question of particle treatment in the buffer area. The usual method to create/delete particles is described in [15]. This method is modified in order to deal

For free body motion response, the time derivative of the velocity potential (instantaneous pressure) over the wetted surface is an additional unknown to the problem that is solved

In the case of the exterior domain problem, the long time behavior of the energy is addressed in [7]: therein, the decay of the energy is obtained under additional

We finally prove a local existence result on a time interval of size 1 ε in dimension 1 for this new equation, without any assumption on the smallness of the bathymetry β, which is

For the theoretical aspects, the contribution of the dispersive effects to the added mass phenomenon (that where not treated in [9] because the object was fixed) require

After verifying that the Serre system has dispersive shock waves that are comparable with the full Euler equations, we examine the interactions of simple DSWs starting with the

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