Modeling nonlinear wave-body interaction with the Harmonic Polynomial Cell method combined with the Immersed Boundary Method on a fixed grid

TL;DR

This paper introduces a novel nonlinear wave-body interaction model combining the Harmonic Polynomial Cell method with the Immersed Boundary Method on a fixed grid, aiming for fast and accurate simulations of large water waves and offshore structure loads.

Contribution

The paper develops and tests a new computational approach that integrates HPC and IBM techniques to improve nonlinear wave modeling efficiency and accuracy.

Findings

Effective modeling of nonlinear wave-structure interactions.

Reduced computational cost compared to traditional CFD methods.

Successful validation on standing wave and submerged cylinder problems.

Abstract

To model the propagation of large water waves and associated loads applied to offshore structures, scientists and engineers have a need of fast and accurate models. A wide range of models have been developped in order to predict wave-fields and hydrodynamic loads at small scale, from the linear potential boundary element method to complete CFD codes, based on the Navier-Stokes equations. Although the latters are well adapted to solve the wave-structure interaction at small scale, their use is limited due to the computational cost of such models and numerical diffusion. Alternative approaches, capturing the nonlinear effects, are thus needed. Shao and Faltinsen [5] proposed an innovative technique, called " harmonic polynomial cell " (HPC) method to tackle this problem. This approach is implemented and tested in 2 dimensions (x, z), first on a standing wave problem and then to evaluate the nonlinear forces acting on a fixed submerged cylinder.