两层流体中内孤立波质量源数值造波方法

以质量源为内孤立波激发源,加入连续性方程,结合完全非线性欧拉方程,以三类内孤立波理论(KdV、eKdV和MCC)的适用性条件为依据,发展了一种两层流体中内孤立波质量源数值造波方法.通过系列数值模拟,分析了质量源在释放和吸收流体过程中生成内孤立波的机理,讨论了内孤立波传播过程中波形、振幅及其诱导流场的变化特性.结果表明,基于所述方法得到的内孤立波在其传播过程中均保持波形稳定、振幅衰减小,数值模拟所得波形及其振幅与相关文献的实验及相应理论解吻合较好.

A Mass Source Method for Numerically Generating Internal Solitary Waves in Two-Layer Fluid

According to the applicability conditions for three type of internal solitary wave theories including KdV, eKdV and MCC, and integrating with fully nonlinear Euler equations, a numerical wave-generating method for internal solitary waves in two-layer fluid was proposed by adding mass sources to continuity equation. Series of numerical simulations were presented to analyze the generation mechanism for the internal solitary wave in the process where mass sources release and absorb fluids. Besides, the variation characteristics of the waveform, amplitude, and flow field induced by the internal solitary wave were discussed. The results show that the waveform remains stable and the amplitude decays much weakly during the propagation of the internal solitary wave generated by the present method, and its waveform and amplitude are in good agreements with the experimental and theoretical results.