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Volume 6, Issue 6
Topology Optimization of the Caudal Fin of the Three-Dimensional Self-Propelled Swimming Fish

Zhiqiang Xin & Chuijie Wu

Adv. Appl. Math. Mech., 6 (2014), pp. 732-763.

Published online: 2014-06

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  • Abstract

Based on the boundary vorticity-flux theory,  topology optimization of the caudal fin of the three-dimensional self-propelled swimming fish is investigated by combining unsteady computational fluid dynamics with moving boundary and topology optimization algorithms in this study. The objective functional of topology optimization is the function of swimming efficiency, swimming speed and  motion direction control. The optimal caudal fin, whose topology is different from that of the natural fish caudal fin, makes the 3D bionic fish achieve higher swimming efficiency, faster swimming speed and better maneuverability. The boundary vorticity-flux on the body surface of the 3D fish before and after optimization reveals the mechanism of high performance swimming of the topology optimization bionic fish. The comparative analysis between the swimming performance of the 3D topology optimization bionic fish and the 3D lunate tail bionic fish is also carried out, and the wake structures of two types of bionic fish show the physical nature that the swimming performance of the 3D topology optimization bionic fish is significantly better than the 3D lunate tail bionic fish.

  • AMS Subject Headings

76Z10, 74F10

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COPYRIGHT: © Global Science Press

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@Article{AAMM-6-732, author = {Xin , Zhiqiang and Wu , Chuijie}, title = {Topology Optimization of the Caudal Fin of the Three-Dimensional Self-Propelled Swimming Fish}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {6}, pages = {732--763}, abstract = {

Based on the boundary vorticity-flux theory,  topology optimization of the caudal fin of the three-dimensional self-propelled swimming fish is investigated by combining unsteady computational fluid dynamics with moving boundary and topology optimization algorithms in this study. The objective functional of topology optimization is the function of swimming efficiency, swimming speed and  motion direction control. The optimal caudal fin, whose topology is different from that of the natural fish caudal fin, makes the 3D bionic fish achieve higher swimming efficiency, faster swimming speed and better maneuverability. The boundary vorticity-flux on the body surface of the 3D fish before and after optimization reveals the mechanism of high performance swimming of the topology optimization bionic fish. The comparative analysis between the swimming performance of the 3D topology optimization bionic fish and the 3D lunate tail bionic fish is also carried out, and the wake structures of two types of bionic fish show the physical nature that the swimming performance of the 3D topology optimization bionic fish is significantly better than the 3D lunate tail bionic fish.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m394}, url = {http://global-sci.org/intro/article_detail/aamm/46.html} }
TY - JOUR T1 - Topology Optimization of the Caudal Fin of the Three-Dimensional Self-Propelled Swimming Fish AU - Xin , Zhiqiang AU - Wu , Chuijie JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 732 EP - 763 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.2013.m394 UR - https://global-sci.org/intro/article_detail/aamm/46.html KW - 3D bionic fish, caudal fin, topology optimization, swimming performance, vortex dynamics. AB -

Based on the boundary vorticity-flux theory,  topology optimization of the caudal fin of the three-dimensional self-propelled swimming fish is investigated by combining unsteady computational fluid dynamics with moving boundary and topology optimization algorithms in this study. The objective functional of topology optimization is the function of swimming efficiency, swimming speed and  motion direction control. The optimal caudal fin, whose topology is different from that of the natural fish caudal fin, makes the 3D bionic fish achieve higher swimming efficiency, faster swimming speed and better maneuverability. The boundary vorticity-flux on the body surface of the 3D fish before and after optimization reveals the mechanism of high performance swimming of the topology optimization bionic fish. The comparative analysis between the swimming performance of the 3D topology optimization bionic fish and the 3D lunate tail bionic fish is also carried out, and the wake structures of two types of bionic fish show the physical nature that the swimming performance of the 3D topology optimization bionic fish is significantly better than the 3D lunate tail bionic fish.

Xin , Zhiqiang and Wu , Chuijie. (2014). Topology Optimization of the Caudal Fin of the Three-Dimensional Self-Propelled Swimming Fish. Advances in Applied Mathematics and Mechanics. 6 (6). 732-763. doi:10.4208/aamm.2013.m394
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