A new numerical 2D cell method has been proposed by the authors, based on representing the velocity potential in each cell by harmonic polynomials. The method was named the harmonic polynomial cell (HPC) method. The method was later extended to 3D to study potential-flow problems in marine hydrodynamics. With the considered number of unknowns that are typical in marine hydrodynamics, the comparisons with some existing boundary element- based methods, including the fast multipole accelerated boundary element methods, showed that the HPC method is very competitive in terms of both accuracy and efficiency. The HPC method has also been applied to study fully-nonlinear wave-body interactions; for example, sloshing in tanks, nonlinear waves over different sea-bottom topographies, and nonlinear wave diffraction by a bottom-mounted vertical circular cylinder. However, no current effects were considered. In this paper, we study the fully-nonlinear time-domain wave-body interaction considering the current effects. In order to validate and verify the method, a bottom-mounted vertical circular cylinder, which has been studied extensively in the literature, will first be examined. Comparisons are made with the published numerical results and experimental results. As a further application, the HPC method will be used to study multiple bottom-mounted cylinders. An example of the wave diffraction of two bottom-mounted cylinders is also presented.
Fully-Nonlinear Wave-Current-Body Interaction Analysis by a Harmonic Polynomial Cell Method
Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING Manuscript received September 26, 2013; final manuscript received February 23, 2014; published online April 1, 2014. Assoc. Editor: Thomas E. Schellin.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Shao, Y., and Faltinsen, O. M. (April 1, 2014). "Fully-Nonlinear Wave-Current-Body Interaction Analysis by a Harmonic Polynomial Cell Method." ASME. J. Offshore Mech. Arct. Eng. August 2014; 136(3): 031301. https://doi.org/10.1115/1.4026960
Download citation file:
- Ris (Zotero)
- Reference Manager