Open AccessNumerical simulation of wave phenomena using FreeFEM
Author(s) -
Uswatun Hasanah,
S. R. Pudjaprasetya
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2072/1/012003
Subject(s) - computation , free surface , waves and shallow water , computer simulation , boundary value problem , refraction , mechanics , numerical analysis , finite element method , surface wave , wave propagation , wave shoaling , geology , classical mechanics , physics , mathematical analysis , mathematics , optics , mechanical wave , longitudinal wave , algorithm , oceanography , thermodynamics
In this research free surface motion governed by the shallow water equations is considered. A numerical scheme based on the finite element method, which is incorporated in the open source FreeFEM, was used to simulate several wave phenomena. By carefully setting the corresponding initial condition as well as boundary conditions, several numerical computations were conducted. Numerical simulations presented here are standing wave in a closed basin, progressive wave over a flat bottom, as well as wave shoaling over a decreasing depth and wave refraction. In all cases above, the existing analytical formula are used to validate the numerical results. These computations suggest that explicit-implicit scheme is appropriate for varying water wave simulations.