http://scholars.ntou.edu.tw/handle/123456789/18191
標題: | Numerical Simulation of the Time-Dependent Mild-Slope Equation by the Generalized Finite Difference Method | 作者: | Zhang, Ting Lin, Zhen-Huan Lin, Chuan Liang, Lin Fan, Chia-Ming |
關鍵字: | WAVE-EQUATION;WATER-WAVES;PROPAGATION;COLLOCATION;VERIFICATION;GENERATION;SCATTERING | 公開日期: | 十一月-2021 | 出版社: | SPRINGER BASEL AG | 卷: | 178 | 期: | 11 | 起(迄)頁: | 4401-4424 | 來源出版物: | PURE APPL GEOPHYS | 摘要: | The time-dependent mild-slope equation (MSE) is a second-order hyperbolic equation, which is adopted to consider the irregularity of waves. For the difficulty of directly solving the partial derivative terms and the second-order time derivative term, a novel mesh-free numerical scheme, based on the generalized finite difference method (GFDM) and the Houbolt finite difference method (HFDM), is developed to promote the precision and efficiency of the solution to time-dependent MSE. Based on the local characteristics of the GFDM, as a new domain-type meshless method, the linear combinations of nearby function values can be straightforwardly and efficiently implemented to compute the partial derivative term. It is worth noting that the application of the HFDM, an unconditionally stable finite difference time marching scheme, to solve the second-order time derivative term is critical. The results obtained from four examples show that the propagation of waves can be successfully simulated by the proposed numerical scheme in complex seabed terrain. In addition, the energy conversion of waves in long-distance wave propagation can be accurately captured using fast Fourier transform (FFT) analysis, which investigates the energy conservation in wave shoaling problems. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/18191 | ISSN: | 0033-4553 | DOI: | 10.1007/s00024-021-02870-4 |
顯示於: | 河海工程學系 07 AFFORDABLE & CLEAN ENERGY 12 RESPONSIBLE CONSUMPTION & PRODUCTION |
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