two layer non-hydrostatic, staggered momentum conservative, predictor-corrector.

• Main Author: Magdalena, Ikha
• Format: Dissertations
• Language: Indonesia
• Subjects: Matematika
• Online Access: https://digilib.itb.ac.id/gdl/view/33515
• Institution: Institut Teknologi Bandung

In this Doctoral Thesis, an efficient two layer non-hydrostatic conservative numerical model is constructed to allow the nonlinearity and dispersion effect in the modeling of waves propagation. Stelling and Zijlema (2003) have shown that two layer approximation is adequate for relatively short waves and the performance of two layer model is discussed in detail. Here, we implement a slightly different two layer approach that is more efficient in the case of calculating the pressure matrix. However, this new two layer approach’s result is comparable with the two layer model of Stelling and Zijlema (2003). We implement our two-layer non-hydrostatic scheme for studying two other topics : the first is gravity waves over a submerged porous media and the second one is internal waves. The resulting model is validated with the existing analytical solutions and experimental data. In all cases, the results are satisfactory in the comparison with analytical and/or experimental results. Furthermore, the model is subsequently expanded into a 3D model which is validated with a 3D version of the oscillating basin and verified with the Berkhoff shoal which includes shoaling, refraction and diffraction of waves. It can be concluded that our two-layer non- hydrostatic model can indeed be an efficient way to incorporate nonlinearity and frequency dispersion. Moreover, our two-layer is much faster in the computation that we need for describing waves propagation toward the shore.