| 郑永红,沈永明,邱大洪.应用非线性色散关系数值求解双曲型缓坡方程[J].水利学报,2001,32(2):0069-0076 |
| 应用非线性色散关系数值求解双曲型缓坡方程 |
| Application of nonlinear dispersion relation in solving hyperbolic mild slope equations |
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| DOI： |
| 中文关键词: 非线性色散 双曲型缓坡方程 数值模拟 水波 |
| 英文关键词: nonlinear dispersion relation hyperbolic mild slope equation numerical calculation water waves |
| 基金项目: |
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| 摘要点击次数: 1687 |
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| 中文摘要: |
| 在经典双曲型缓坡方程的基础上，通过引入非线性色散关系，使其能够有效地考虑波浪的非线性影响，数值格式的改进使方程的数值求解快速高效。将非线性色散关系和改进后的数值格式用于经典的椭圆形浅滩上的波浪变形计算，取得了比较满意的结果。 |
| 英文摘要: |
| Based on the original hyperbolic mild slope equation,a nonlinear dispersion relation is introduced to take the nonlinear effect of waves into account.The improvement of the numerical scheme elevates the calculation speed and efficiency in solving the hyperbolic mild slope equation.The nonlinear dispersion relation and the improved numerical scheme are applied to the calculation of water waves over an elliptic shoal.The result is satisfactory. |
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