Boundary elements

The boundary element method (BEM) is a classic approach for solving for potential flow and has been used for many water wave models.

At LHSV, this has been studied for computational efficiency (e.g., parallelization, fast multipole method), and engineering applications (e.g., offshore wind turbines, breaking waves, coupling to Navier-Stokes solvers) and more.

References

 J. C. Harris, E. Dombre, M. Benoit, S. T. Grilli, and K. Kuznetsov. 2022. Nonlinear time-domain wave structure interaction: a parallel fast integral equation approach. International Journal for Numerical Methods in Fluids. 94: 188-222. doi:10.1002/fld.5051

E. Dombre, J. C. Harris, M. Benoit, D. Violeau, and C. Peyrard. 2019. A 3D parallel boundary element method on unstructured triangular grids for fully nonlinear wave-body interactions. Ocean Engineering. 171: 505-518. doi:10.1016/j.oceaneng.2018.09.044