A time-domain finite element method for seakeeping and wave resistance problems

A time-domain second-order FEM model for the wave diffraction-radiation problem. Validation with a semisubmersible platform

“…However, the coefficient ( ) will be set to zero in the analysis area 12 (near the bodies), so that damping will have no effect on the solution of the wave-body interaction 13 problem. Further details can be found in Servan-Camas and Garcia-Espinosa [16] and Servan-Camas [17]. 14 4.…”

“…In the following sections, a brief description of the mathematical model is given. Details on 18 the numerical implementation of the mooring solver, the body dynamics solver, and their coupling can be 19 found in [17,18,19,20]. 20…”

“…Further details on obtaining the governing equations can be found in Servan-Camas and Garcia-Espinosa 4 [16], and Servan-Camas [17]. 5 The body dynamics of the floating body are governed by the equation of motion: 6…”

A non-linear finite element method on unstructured meshes for added resistance in waves

“…The proposed method is based on potential flow and applies the free surface boundary conditions on the mean water level for computational efficiency. The main novelties of the model are the use of the Finite Element Method (FEM) on unstructured meshes (Servan-Camas and Garcia-Espinosa 2013, Garcia-Espinosa et al 2015;Servan-Camas 2016;Oñate et al 2018) in the context of potential flow. The proposed numerical scheme is derived using a non-linear (NL) formulation for the convective terms, although the Neumann-Kelvin (NK) and double-body (DB) flow linearizations have been analyzed as well.…”

Analysis of wave resonant effects in-between offshore vessels arranged side-by-side

“…However, these effects are important in order to analyze the drift of a floating artifact in a horizontal plane. Serván-Camas and García-Espinosa (2013) developed a time domain solver based on the finite element method capable of solving multi-body seakeeping problems on unstructured meshes combining the use of an efficient algorithm for the free surface boundary conditions, the use of deflated conjugate gradients and the use of a graphic processing unit for speeding up the linear solver (Serván-Camas, 2016). Even though the technique is promising it has not yet been used to model the hydrodynamics of a side-by-side configurations.…”