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中国工业与应用数学学会会刊
主管:中华人民共和国教育部
主办:西安交通大学
ISSN 1005-3085  CN 61-1269/O1

工程数学学报

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双水翼三维自由面波数值解(英)

赵乐平1,   罗志强2   

  1. 1- 昆明理工大学理学院,昆明  650500 2- 浙江传媒学院媒体工程学院,杭州  310018
  • 收稿日期:2018-12-30 接受日期:2020-11-27 出版日期:2021-06-15 发布日期:2021-08-15
  • 基金资助:
    国家自然科学基金 (11561037).

The Numerical Solution of 3D Free Surface Wave for Double Hydrofoils

ZHAO Le-ping1,   LUO Zhi-qiang2   

  1. 1- School of Science, Kunming University of Science and Technology, Kunming 650500
    2- School of Media Engineering, Zhejiang University of Communication, Hangzhou 310018
  • Received:2018-12-30 Accepted:2020-11-27 Online:2021-06-15 Published:2021-08-15
  • Supported by:
    The National Natural Science Foundation of China (11561037).

摘要: 本文运用带耗散的源格林函数面板法,研究三维双水翼与流体之间相互作用下的复杂流场内部变化机制.基于带耗散源格林函数,给出流经双水翼的不同自由面波型.通过实验,我们验证了数值算法的准确性和鲁棒性.数值计算结果清晰的呈现出单水翼和双水翼的波型演化过程.平行波会与其他波相互作用,波峰和波谷相互重叠.双水翼系统的波纹分布与双水翼交错位置有明显的对应关系.

关键词: 势流, 带耗散格林函数, 奇异积分, 第二格林公式

Abstract: In this paper, a source panel method with dissipative Green function is applied to explore the internal evolution mechanisms under the interaction between the complicated 3D flow field and double hydrofoils. Based on the dissipative source Green function, the different wave profiles of free surface are presented in the double hydrofoils flow. From the benchmark tests, we can draw a conclusion that the accuracy and robustness of the numerical algorithm can be confirmed. Numerical results show that the evolution of wave profile of single hydrofoil and double hydrofoils can be demonstrated clearly. The parallel wave ripple will interact with the other waves and the crest and trough can be overlapped. The double hydrofoils systems can present different wave ripple profiles obviously corresponding with the different staggered position.

Key words: potential flow, dissipative Green function, singular wave integral, second Green's formula

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