Linear analysis of a new type of extended Boussinesq model
Linear analysis of a new type of extended Boussinesq model
复制标题
新型扩展Boussinesq模型的线性分析
DOI：
10.1016/j.coastaleng.2004.01.003
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Patrick Gomi
中科院分区：
文献类型：
--
作者：
K. Meftah;P. Sergent;Patrick Gomi
利用数学技巧将流速分解为一系列关于水深的函数，建立了一个扩展的Boussinesq模型。本文的目的是提出这种有限元模型的理论基础和不同系列的功能，在这个模型与各自的物理范围的有效性。然后，我们研究其线性频率行为，它的能力，再现速度的垂直变化，也是它的线性浅水行为。特别注意的是勒让德多项式系列。该模型的优点之一是隐式地改善其行为，而无需添加任何高阶导数项，也无需任何校准参数来拟合理论曲线。这种改进只能通过在所选系列上添加额外的功能来实现。该模型的另一个优点是隐含地包括斜率效应和消逝模式。因此，它可以处理波在相对陡峭的斜坡上的传播。
An extended Boussinesq model is developed using a mathematical artifice that decomposes the velocity on a series of functions on the water depth. The aim of this paper is to present the theoretical bases of this finite elements model and the different series of functions available in this model with their respective physical range of validity. We then examine its linear frequency behaviour, its ability to reproduce the vertical variations of velocity and also its linear shoaling behaviour. A special attention is paid to the Legendre polynomials series. One of the advantages of this model is to implicitly improve its behaviour without any addition of higher order derivative terms and without any calibration parameters to fit theoretical curves. This improvement is made only by adding extra functions on the chosen series. Another advantage of this model is to implicitly include slope effect and evanescent modes. It can therefore deal with propagation of waves over relatively steep slopes.