| 任意水深变化Boussinesq型方程非线性波数值计算 |
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| 引用本文： | 朱良生,洪广文.任意水深变化Boussinesq型方程非线性波数值计算[J].海洋工程,2000,18(2):29-37. |
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| 作者姓名： | 朱良生 洪广文 |
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| 作者单位： | 1. 中国科学院,南海海洋研究所,广东,广州,510301
2. 河海大学,港口航道与海岸工程学院,江苏,南京,210024 |
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| 基金项目： | 中国科学院资源与生态环境研究项目，国家科技攻关项目，，，， |
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| 摘 要： | 首先从一个含有耗散项的高阶非线性和频散性波浪理论模型出发，建立了适用于任意底坡变化，相对水深h／Lo≤1的非线性波数学模型。应用全隐式交错网格和二阶精度中心差分法。得到离散方程组。进一步对其一阶导数项进行修正，达到与方程高阶项同量阶精度。精度检验表明本文计算结果与理论解和物理模型结果符合良好。
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| 关 键 词： | 非线性波 Boussinesq方程 任意水深变化 数值计算 |
| 修稿时间： | 1999-02-13 |
Numerical calculation of nonlinear wave using Boussinesq equation in water of arbitrarily varying depths |
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| ZHU Liang-sheng,HONG Guang-wen.Numerical calculation of nonlinear wave using Boussinesq equation in water of arbitrarily varying depths[J].Ocean Engineering,2000,18(2):29-37. |
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| Authors: | ZHU Liang-sheng HONG Guang-wen |
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| Abstract: | Based on a high order nonlinear and dispersive wave mode l with dissipative terms, a nonlinear nu merical model is developed. The control equations are discretized by using Alte rnating Direction Implicity Algorithm an d second order centering difference algo rithm. In order to improve the accuracy, the one-order differential terms in the equations are corrected to reach the sa me accuracy as high-order terms. The acc uracy tests show that the results of the numerical model are well consistent wit h those of the analytical solutions and physical models. |
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