论文标题
低压区域的Euler方程的捕获孤立波相互作用
Trapped solitary-wave interaction for Euler equations with low pressure region
论文作者
论文摘要
在整个Euler方程下，在沿游离表沿自由外侧有可变的压力分布的情况下，在整个Euler方程下进行了捕获的孤立波相互作用。物理结构域被扁平化在条带上，并在规范域中执行计算。计算机模拟显示孤独的波浪，这些波浪仍然被困在低压区域。在禁闭方面，我们观察到这些波是稳定的，对于它们的幅度或压力强迫项的小扰动是稳定的。此外，在低压区域内考虑了多个孤立波，而无需逃脱低压区域。我们确定了几次碰撞后仍被捕获的多个孤立波的政权。特别是我们展示了一个政权，其中三个孤独的波被困并碰撞了几次，然后一次逃脱。其余的孤立波留在低压区域中。
Trapped solitary-wave interaction is studied under the full Euler equations in the presence of a variable pressure distribution along the free surace. The physical domain is flattened conformally onto a strip and the computations are performed in the canonical domain. Computer simulations display solitary waves that remain trapped in a low pressure region. In terms of confinement we observe that these waves are stable for small perturbations of either their amplitudes or the pressure forcing term. Furthermore multiple solitary waves are considered within the low pressure region without escaping the low pressure region. We identify regimes in which multiple solitary waves remain trapped after several collisions. In particular we display a regime where three solitary waves are trapped and collide several times, before one escapes at a time. The remaining solitary waves stays trapped in the low pressure region.
