去奇异化Rankine源分布面板法自由面数值模拟  

Numerical Simulation of Free Surface for Desingularized Rankine Source Distribution Panel Method

作　　者：韩永浩 罗志强[1] HAN Yong-hao;LUO Zhi-qiang(School of Science,Kunming University of Science and Technology,Kunming 650500)

机构地区：[1]昆明理工大学理学院,昆明650500

出　　处：《工程数学学报》2021年第1期73-84,共12页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(11561037).

摘　　要：近水面波体相互作用问题是流体力学数值模拟的经典问题,其理论广泛应用于海洋工程等领域.本文针对现有文献关于水下振动体与自由面波变化规律的研究较少的情况,建立了基于去奇异化Rankine源面板法势流水下圆柱体振动的数学模型,运用Rankine源方法数值模拟了水下振动圆柱体自由面波高与压力的变化规律.本文数值解与前人的结果进行比对,验证了本文算法的正确性与有效性.最后数值模拟了自由面波高以及在不同参数下振动体表面压力变化图形,数值模拟结果表明,自由面波高和振动圆柱体表面压力会随振动体频率、振幅以及浸没深度的改变进行变化.The near-water surface wave-body interaction is a classical problem in hydrodynamics numerical simulation,and its theory is widely used in ocean engineering and other fields.In this paper is under the circumstance that there are few studies on the variation of underwater oscillatory body and free surface wave in the existing literature.A mathematical model of potential flow underwater cylindrical vibration based on de-singularization Rankine source panel method is established,and the numerical solution of free surface wave elevation of underwater oscillatory cylinder is numerically simulated by Rankine source method.The numerical results of this paper are compared with those of predecessors,and the correctness and validity of this algorithm are verified.Finally,the free surface wave heights under the action of free surface waves and oscillatory cylinders and the surface pressure of oscillatory cylinders under different parameters are numerically simulated.The numerical results show that the free surface wave elevation and the surface pressure of oscillatory cylinders vary with the frequency,amplitude and immersion depth of the oscillatory cylinders.

关 键 词：去奇异Rankine源 波高 势流 源面板法 振动体 

分 类 号：O241.82[理学—计算数学]