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Time-Space Decoupled Model with a Variable-Coefficient Dispersive Condition to Simulate Tsunamis over Slowly Varying Topography
| 题名： | Time-Space Decoupled Model with a Variable-Coefficient Dispersive Condition to Simulate Tsunamis over Slowly Varying Topography |
| 正文语种： | 英文 |
| 作者： | Anxin Guo,M.ASCE;Shengchao Xiao;Hui Li,M.ASCE |
| 作者单位： | Harbin Institute of Technology, Harbin |
| 关键词： | Tsunami; Dispersion; Boussinesq equation; Wave equation; Time-space decoupled scheme; Varying topography. |
| 摘要： | In this study, a new numerical scheme with variable-coefficient dispersive conditions was developed to simulate tsunamis over slowly varying topography. The new model was developed using a novel time-space decoupled numerical scheme that used the classic wave equation. By adapting this model to simulate tsunamis, a variable-coefficient dispersive condition was derived to consider the dispersive effects using a numerical truncation error from the numerical scheme. The stability condition and range of the variable coefficient were analyzed using a stability analysis. Using the specific dispersive condition and the modified time-space decoupled scheme, a uniform grid system can be used to simulate a dispersive tsunami over slowly varying topography. Numerical experiments for wave propagation with Gaussian humps and dipolar sources in uniform and varying topography demonstrate that the scheme is efficient for simulating tsunami propagation over slowly varying water depths with dispersive effects. |
| 出版日期： | 2016.4 |
| 出版年： | 2016 |
| 期刊名称： | Journal of Waterway, Port, Coastal, and Ocean Engineering |
| 卷： | Vol.142 |
| 期： | No.4 |
| 页码： | 04015028 |
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