A Numerical Wave Tank Using Direct-Forcing Immersed Boundary Method and Its Application to Wave Force on a Horizontal Cylinder

Abstract

In this paper, we propose a new numerical wave tank model capable of handling interface problems with complex geometry on a standard regular Cartesian grid, using direct-forcing immersed boundary method. Additional force terms are incorporated in the momentum equations to represent the interface on a fixed Cartesian grid and they are calculated on a finite number of Lagrangian points distributed over the structure-fluid interface. The wave field around a horizontal circular cylinder has been chosen in order to validate the applicability of the proposed numerical wave tank model. The calculated wave forces acting on the cylinder are compared with previous experimental and numerical results. The results obtained using the proposed model are in good agreement with experimental results.