This paper proposes a versatile and robust immersed edge-based smoothed finite element method with the mass conservation algorithm (IESFEM/Mass) to solve partitioned fluid–structure interaction (FSI). A gradient smoothing technique was used to solve the system governing equations, which can improve the calculated capability of the linear triangular elements in two phases. Based on the quadratic sharp interface representation of immersed boundary, an extended fictitious domain constructed by a least squares method approximately corrected the residual flux error. The compatibility for boundary conditions on moving interfaces was satisfied, thus eliminating spurious oscillations. The results from all numerical examples were consistent with those from the existing experiments and published numerical solutions. Furthermore, the present divergence-free vector field had a faster-converged rate in the flow velocity, pressure, and FSI force. Even if in distorted meshes, the proposed algorithm maintained a stable accuracy improvement. The aerodynamics of one- and two-winged flapping motions in insect flight has been investigated through the IESFEM/Mass. It can be seen that the wing–wake interaction mechanism is a vital factor affecting the lift. The applicability of the present method in the biological FSI scenario was also well-demonstrated.
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April 2023
Research Article|
April 17 2023
A sharp interface immersed edge-based smoothed finite element method with extended fictitious domain scheme
Hong Y. (洪寅)
;
Hong Y. (洪寅)
(Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Software, Validation, Writing – original draft, Writing – review & editing)
1
State Key Lab of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology
, Tianjin 300130, China
2
School of Mechanical Engineering, Hebei University of Technology
, Tianjin 300401, China
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Wang G. (王刚)
;
Wang G. (王刚)
a)
(Conceptualization, Funding acquisition, Investigation, Methodology, Resources, Supervision, Writing – original draft)
1
State Key Lab of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology
, Tianjin 300130, China
2
School of Mechanical Engineering, Hebei University of Technology
, Tianjin 300401, China
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Huo S. H. (霍树浩)
;
Huo S. H. (霍树浩)
a)
(Conceptualization, Data curation, Methodology, Software, Supervision, Validation)
2
School of Mechanical Engineering, Hebei University of Technology
, Tianjin 300401, China
3
College of Aeronautics and Astronautics, Taiyuan University of Technology
, Taiyuan 030024, China
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Jiang C. (姜琛)
;
Jiang C. (姜琛)
(Funding acquisition, Methodology, Resources, Software, Supervision, Writing – review & editing)
4
Key Laboratory of Traffic Safety on Track of Ministry of Education, School of Traffic and Transportation Engineering, Central South University
, Changsha 410076, China
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Yu C. J. (于城蛟)
Yu C. J. (于城蛟)
(Supervision, Writing – review & editing)
2
School of Mechanical Engineering, Hebei University of Technology
, Tianjin 300401, China
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Physics of Fluids 35, 043612 (2023)
Article history
Received:
January 08 2023
Accepted:
April 02 2023
Citation
Y. Hong, G. Wang, S. H. Huo, C. Jiang, C. J. Yu; A sharp interface immersed edge-based smoothed finite element method with extended fictitious domain scheme. Physics of Fluids 1 April 2023; 35 (4): 043612. https://doi.org/10.1063/5.0141727
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