Hailun He, Institute of Oceanology, Chinese Academy of Sciences, China; Graduate School, Chinese Academy of Sciences, China
Shuang Li, Institute of Oceanology, Chinese Academy of Sciences, China; Graduate School, Chinese Academy of Sciences, China
Jinbao Song, Institute of Oceanology, Chinese Academy of Sciences, China
To test the validity of the eigenfunction expansion method (EEM), a great deal of wave profiles calculated by EEM are compared with the corresponding results obtained by the boundary element method (BEM), which has been verified by many experiments. The comparisons shown that the rel- ative errors of the maximum wave height between them are smaller than 5.5% after 10 periods when the initial wave steepness is below 0.157. However, the errors exceed 12.3% if the initial wave steepness greater than 0.198. As ref- erences, we also compared them with the linear solutions. The investigation confirmed that EEM is only valid in the transient wave propagation simulation for small or moder- ate wave steepness as expected. The corresponding spectrum analysis also reveals that EEM fails to capture harmonics with high wave numbers for the steep waves.
Citation:
Hailun He, Shuang Li, Jinbao Song, "Validity Test of the Eigenfunction Expansion Method in the Transient Wave Propagation Simulation," snpd, vol. 3, pp.578-581, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007