Motion of unstable two interfaces in a three-layer fluid with a non-zero uniform current
Motion of unstable two interfaces in a three-layer fluid with a non-zero uniform current
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DOI：
10.1088/1873-7005/ac2620
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发表时间：
2021-09
影响因子：
1.5
通讯作者：
C. Matsuoka
中科院分区：
文献类型：
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作者：
C. Matsuoka
对密度分层的三层流体中两个界面的非线性运动进行了理论和数值研究。我们考虑这样的情况，即在三层中的一层中存在均匀的电流。用牛顿方法计算线性色散关系，并由此确定数值计算的初始条件。当上(下)层存在均匀流时，在上(下)界面上产生强涡度，并在计算后期卷起到另一个界面。当电流存在于中间层时，初始阶段出现曲线波，最后计算阶段演化为不对称的心形涡片。在正则化和不正则化两种情况下，用涡片模型描述了这些现象。
The nonlinear motion of two interfaces in a three-layer fluid with density stratification is investigated theoretically and numerically. We consider the situation such that a uniform current is present in one of the three layers. The linear dispersion relation is calculated by the Newton’s method, from which the initial conditions for numerical computations are determined. When the uniform current is present in the upper (lower) layer, strong vorticity is induced on the upper (lower) interface, and it rolls up involving the other interface at the late stage of computations. When the current is present in the middle layer, a varicose wave appears at the initial stage, and it evolves into an asymmetric heart-shaped vortex sheet at the last computed stage. These phenomena are presented using the vortex sheet model with and without regularizations.