Numerical Modeling of Flexible Net Panels under Steady Flow Using a Coupled Fluid–Structure Partitioned Scheme
Abstract
:1. Introduction
2. Governing Fluid–Structure Equations
2.1. Governing Equations for the Fluid
2.2. Governing Equations for the Structure
2.3. Governing Equations for the Fluid–Structure Interface
3. Numerical Solutions of Fluid–Structure Equations
3.1. Numerical Solutions of the Fluid Equations
3.2. Numerical Solutions of the Structural Dynamic Equations
4. Partitioned Strong Coupling Formulation
Algorithm 1. Partitioned coupling scheme. |
1. Perform the traction force predictor for interface traction pressure and velocity . |
2. Each FSI iteration between : |
(a) Solve structural Eq. (15) using known interface traction ; |
(b) Apply Dirichlet velocity continuity condition |
on interface Γ; |
(c) Set and update the fluid dynamic mesh; |
(d) Solve ALE fluid Equation (10) for new interface traction and apply Neumann condition on interface Γ. |
5. Numerical Setup and Verification
5.1. The Net Panel
5.2. Computational Domain and Boundary Conditions
5.3. Numerical Verification
6. Results and Discussion
6.1. Velocity Distribution
- (1)
- Transition-in-wake state of flow (TrW).
- (2)
- Transition-in-shear-layers state of flow (TrSL).
6.2. Recirculation and Vortex Formation
7. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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0.16 | 2 | 25 |
0.33 | 2 | 12 |
Researchers | Empirical Formulae |
---|---|
Aarsnes et al. [47] | |
Kristiansen and Faltinsen [19] |
Drag Coefficient/Relative Difference | ||||||
---|---|---|---|---|---|---|
Num. | Num. | Aarsnes et al. [47] | Kristiansen and Faltinsen [19] | |||
Sn = 0.16 | Sn = 0.33 | Sn = 0.16 | Sn = 0.33 | Sn = 0.16 | Sn = 0.33 | |
300 | 0.221 | 0.747 | 0.184 −16.7% | 0.686 −8.2% | 0.250 13.1% | 0.719 3.7% |
600 | 0.209 | 0.682 | 0.181 −13.4% | 0.679 −0.4% | 0.235 12.4% | 0.680 0.2% |
900 | 0.199 | 0.640 | 0.174 −12.6% | 0.656 2.5% | 0.229 15.1% | 0.664 3.8% |
1200 | 0.192 | 0.601 | 0.162 −15.6% | 0.617 2.7% | 0.225 17.2% | 0.655 8.9% |
1500 | 0.188 | 0.476 | 0.151 −19.7% | 0.583 22.5% | 0.223 18.6% | 0.650 36.5% |
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Xu, L.; Qin, H.; Li, P.; Xu, Z. Numerical Modeling of Flexible Net Panels under Steady Flow Using a Coupled Fluid–Structure Partitioned Scheme. Appl. Sci. 2022, 12, 3399. https://doi.org/10.3390/app12073399
Xu L, Qin H, Li P, Xu Z. Numerical Modeling of Flexible Net Panels under Steady Flow Using a Coupled Fluid–Structure Partitioned Scheme. Applied Sciences. 2022; 12(7):3399. https://doi.org/10.3390/app12073399
Chicago/Turabian StyleXu, Lingyun, Hongde Qin, Peng Li, and Zhijing Xu. 2022. "Numerical Modeling of Flexible Net Panels under Steady Flow Using a Coupled Fluid–Structure Partitioned Scheme" Applied Sciences 12, no. 7: 3399. https://doi.org/10.3390/app12073399