论文标题
孤立波的压力异常，恒定涡度
Pressure anomalies beneath solitary waves with constant vorticity
论文作者
论文摘要
虽然一些作品研究了粒子轨迹和停滞点，而孤立的波持续涡度下的孤独波下方，但对此类波的压力知之甚少。为了解决这一差距，我们以恒定涡度的流量中的数值研究孤立波下的压力。通过将物理结构域平移的共形映射，我们开发了一种数值方法，该方法允许计算流体域中的压力和速度场。我们的实验表明，存在阈值涡度，因此当涡度的强度大于该阈值时，发生压力异常和停滞点。高于此阈值的底部边界的压力具有局部最大值的两个点，并且流中有三个停滞点，在其下方，压力具有一个局部最大值，没有停滞点。
While some works have investigated the particle trajectories and stagnation points beneath solitary waves with constant vorticity, little is known about the pressure beneath such waves. To address this gap, we investigate numerically the pressure beneath solitary waves in flows with constant vorticity. Through a conformal mapping that flats the physical domain, we develop a numerical approach that allows to compute the pressure and the velocity field in the fluid domain. Our experiments indicate that there exists a threshold vorticity such that pressure anomalies and stagnation points occur when the intensity of the vorticity is greater than this threshold. Above this threshold the pressure on the bottom boundary has two points of local maxima and there are three stagnation points in the flow, and below it the pressure has one local maximum and there is no stagnation point.
