Abstract
A numerical model for transformation of short periodic waves is developed on the basis of hybridization of highly accurate finite difference scheme and TVD scheme. TVD scheme is highly dissipative when applied to oscillating solutions because it is not able to distinguish smooth extrema from discontinuity by its smooth indicator. To overcome the fatal shortcoming, TVD scheme is hybridized with a scheme with higher order accuracz. A switch function together with a discontinuous indicator is introduced to make the scheme TVD from breaking point to the shore. The model performance is verified through comparisons of model results with experimental data as well as existing empirical formulae. It is found that wave damping due to breaking is reproduced well by TVD scheme if an appropriate switch is employed.
