| 基于MUSTA格式的全非线性Boussinesq波浪传播数值模型 |
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| 引用本文： | 房克照,王磊,刘忠波,邹志利,尹晶.基于MUSTA格式的全非线性Boussinesq波浪传播数值模型[J].力学学报,2014,46(5):647-654. |
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| 作者姓名： | 房克照 王磊 刘忠波 邹志利 尹晶 |
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| 作者单位： | 1.大连理工大学海岸及近海工程国家重点实验室, 辽宁大连116024 |
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| 基金项目： | 国家创新研究团队(51221961);国家海洋局海域管理技术重点实验室(201206)资助项目~~ |
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| 摘 要： | 建立了求解二维全非线性布氏（Boussinesq）水波方程的有限差分/有限体积混合数值格式. 针对守恒形式的控制方程，采用有限体积方法并结合 MUSTA格式计算数值通量， 剩余项则采用有限差分方法求解， 采用具有总变差减小（totalvariation diminishing， TVD）性质的三阶龙格-库塔法进行时间积分.该格式具备间断捕捉、程序实现简单、数值稳定性强、海岸动边界以及波浪破碎处理方便和可调参数少等优点.利用典型算例对数值模型进行了验证，计算结果与实验数据吻合较好.
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| 关 键 词： | Boussinesq水波方程 数值模拟 MUSTA 全非线性 有限体积方法 |
| 收稿时间： | 2013-10-14 |
A FULLY NONLINEAR BOUSSINESQ MODELFOR WAVE PROPAGATION BASED ON MUSTA SCHEME |
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| Institution: | 1.The State Key Laboratory of Coastal and O shore Engineering, Dalian University of Technology, Dalian 116024, China2. State Oceanic Administration, Dalian 116023, China |
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| Abstract: | A hybrid finite-difference/finite-volume scheme is developed to solve the 2D fully nonlinear Boussinesq equations. Finite volume method, in conjunction with the MUSTA scheme, is used to evaluate the flux terms while finite difference method is used to approximate the rest terms in the conservative governing equations. The third order Runge-Kutta method with TVD property is adopted for time marching. The proposed model has the advantages of shock capturing, easy coding and strong stability preserving, and contains less adjustable parameters. Two typical numerical tests are conducted for model validation, and the calculated results are in good agreement with experimental data. |
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