MCC-FS内孤立波模型算法及速度场研究  

Algorithm of the MCC-FS internal solitary wave model and velocity field

作　　者：赵彬彬[1] 张天钰 王战[1,2] 段文洋 王泽航[1] ZHAO Binbin;ZHANG Tianyu;WANG Zhan;DUAN Wenyang;WANG Zehang(College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China;Qingdao Innovation and Development Center of Harbin Engineering University, Qingdao 266555, China)

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001 [2]青岛哈尔滨工程大学创新发展中心,山东青岛266555

出　　处：《哈尔滨工程大学学报》2021年第8期1089-1095,共7页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(11772099,11572093,51490671).

摘　　要：针对浅水模式下的两层流体间大幅内孤立波问题,本文给出了MCC-FS模型的速度场结果,并使用物理实验结果进行验证。采用考虑自由面效应的MCC-FS模型开展了研究,并针对MCC-FS模型,提出了一种稳定、高效的算法。使用中心差分法对一阶和二阶导数进行空间离散,使用牛顿迭代法对MCC-FS模型4个方程进行直接求解。研究表明:通过该算法可同时求得内波波形、自由表面波波形以及上、下层平均速度。Aiming at large-amplitude internal solitary waves in a two-layer fluid system for shallow configurations,this paper presents the velocity field results of the internationally popular Miyata-Choi-Camassa(MCC)model taking the free surface(FS)effect into consideration(hereinafter collectively referred as the MCC-FS model)and verifies it using the physics experiment results of others.The MCC-FS model is used in this study,and a new stable and efficient algorithm is proposed accordingly,which uses the central difference method to discretize the first and second derivatives in space and uses Newton′s iterative method to directly solve the four equations of the MCC-FS model.The results show that internal-wave profiles,free surface profiles,and the average velocities of the upper and lower layers can be obtained simultaneously by this algorithm.

关 键 词：MCC-FS模型 浅水模式内波 内孤立波 稳态算法 中心差分法 速度场 自由面效应 两层流体 

分 类 号：O352[理学—流体力学]