An absorbing boundary condition for free surface water waves. (12th October 2017)

• Record Type: Journal Article
• Authors: Düz, B.; Borsboom, M.J.A.; Veldman, A.E.P.; Wellens, P.R.; Huijsmans, R.H.M.
• Is Part Of: Computers & fluids. Volume 156(2017)
• Page Start: 562
• Page End: 578
• Publication Date: 2017-10-12
• Subjects: Local absorbing boundary condition -- Regular and irregular water waves -- Higdon boundary condition -- Dispersive effects -- Directional effects; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2017.05.018
• Languages: English
• ISSNs: 0045-7930

Abstract

Highlights: An absorbing boundary condition is presented that can account for dispersive and directional effects of water waves. The boundary condition does not require a significant increase in computational cost. Implementation of the boundary condition in a Navier–Stokes solver using staggered grid arrangement was explained in detail. Abstract: In this paper, the use of an absorbing boundary condition (ABC) is investigated for the numerical simulation of free surface water waves. An enhanced type of an ABC based on the first- and second-order Higdon boundary conditions is presented. The numerical implementation of the ABC using a staggered grid arrangement is explained in detail. Numerical examples are provided to demonstrate the performance of the proposed boundary conditions.