On the Boussinesq approximation and its role in the theory of internal waves
On the Boussinesq approximation and its role in the theory of internal waves
复制标题
布辛涅斯克近似及其在内波理论中的作用
DOI：
10.1111/j.2153-3490.1965.tb00193.x
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发表时间：
1965
期刊：
影响因子：
2
通讯作者：
R. R. Long
中科院分区：
文献类型：
--
作者：
R. R. Long
大多数对具有弱密度梯度的流体动力学的研究使用Boussinesq近似，该近似忽略了运动方程惯性项中的密度变化。这种近似的意义在这里进行了研究。一般来说，如果无量纲密度差以外的量很小，那么在使用近似时似乎需要注意。此外，某些有趣和重要现象的存在可能取决于被Boussinesq近似忽略的小项。这是通过调查孤立波在分层流体系统。DOI：10.1111/j.2153-3490.1965.tb00193.x
Most studies of the dynamics of fluids with weak density gradients use the Boussinesq approximation, which neglects density variations in the inertial terms of the equation of motion. The significance of this approximation is investigated here. As a general matter, it appears that care is called for in the use of the approximation if quantities other than the non-dimensional density difference are small. Also, the existence of certain phenomena of interest and importance may depend on the small terms neglected by the Boussinesq approximation. This is shown by an investigation of solitary waves in a stratified fluid system. DOI: 10.1111/j.2153-3490.1965.tb00193.x