ZHANG Yang, PU Tianmei, ZHOU Chunhua, et al. Fluid-structure interaction simulation of parachute inflation based on an immersed boundary method and large eddy simulation[J]. 2025, 43(2): 96-109.
ZHANG Yang, PU Tianmei, ZHOU Chunhua, et al. Fluid-structure interaction simulation of parachute inflation based on an immersed boundary method and large eddy simulation[J]. 2025, 43(2): 96-109.DOI: 10.7638/kqdlxxb-2024.0079.
Fluid-structure interaction simulation of parachute inflation based on an immersed boundary method and large eddy simulation
The inflation process of a parachute involves complex fluid-structure interaction (FSI) phenomena. The immersed boundary (IB) method
as a boundary non-conforming approach
is suitable for addressing such nonlinear large-deformation FSI problems. By integrating the sharp-interf
ace IB method proposed by Mittal et al. with large eddy simulation (LES)
the flow around a parachute at medium to high Reynolds numbers (
Re
) was simulated. On this basis
a nonlinear finite element method was incorporated to develop an FSI approach based on the dynamic Vreman subgrid-scale (Vreman SGS) model
which was suitable for complex geometries and non-uniform turbulence
to simulate the parachute inflation process. Finally
the accuracy of the developed LES/IB method was validated by a classic cylinder flow case (
Re
=
3900
). The results demonstrate that the LES/IB method achieves good agreement with direct numerical simulation (DNS)
LES
and experimental data in terms of the mean drag coefficient ($\bar C_D $)
mean base pressure coefficient at the rear stagnation point ($- \bar C_{p
\rm b} $)
and Strouhal number (
St
)
with errors all below 8%. Furthermore
the developed Vreman SGS model was employed to analyze the aerodynamic performance and structural response during the inflation of typical round and cruciform parachutes
and the results were compared with Smagorinsky SGS model. During the breathing phase of parachute inflation
the results of the drag coefficient and projected area calculated by both methods show good agreement
with relative errors within 5%
thereby validating the reliability of the proposed FSI method.
关键词
Keywords
references
TUTT B A. Fluid structure interaction parachute benchmark models in LS-DYNA[C]//AIAA Aerodynamic Decelerator Systems (ADS) Conference, Daytona Beach, Florida. Reston, Virginia: AIAA, 2013.
YANG X, YU L, LIU M, et al . Fluid structure interaction simulation of supersonic parachute inflation by an interface tracking method[J ] . Chinese Journal of Aeronautics, 2020 , 33 ( 6 ): 1692 − 1702 .
STEIN K, BENNEY R, KALRO V, et al . Parachute fluid–structure interactions: 3-D computation[J ] . Computer Methods in Applied Mechanics and Engineering, 2000 , 190 ( 3-4 ): 373 − 386 .
PESKIN C S . The immersed boundary method[J ] . Acta Numerica, 2002 , 11 : 479 − 517 .
KIM Y, PESKIN C S . 2–D parachute simulation by the immersed boundary method[J ] . SIAM Journal on Scientific Computing, 2006 , 28 ( 6 ): 2294 − 2312 .
KIM Y, PESKIN C S . 3-D Parachute simulation by the immersed boundary method[J ] . Computers Fluids, 2009 , 38 ( 6 ): 1080 − 1090 .
XUE X P, KOYAMA H, NAKAMURA Y, et al . Effects of suspension line on flow field around a supersonic parachute[J ] . Aerospace Science and Technology, 2015 , 43 : 63 − 70 .
XUE X P, NAKAMURA Y, MORI K, et al . Numerical investigation of effects of angle-of-attack on a parachute-like two-body system[J ] . Aerospace Science and Technology, 2017 , 69 : 370 − 386 .
LIU F, LIU G, SHU C . Fluid-structure interaction simulation based on immersed boundary-lattice Boltzmann flux solver and absolute nodal coordinate formula[J ] . Physics of Fluids, 2020 , 32 ( 4 ): 047109 .
BOUSTANI J, BARAD M F, KIRIS C C, et al . An immersed interface methodology for simulating supersonic spacecraft parachutes with fluid–structure interaction[J ] . Journal of Fluids and Structures, 2022 , 114 : 103742 .
ZHANG Y, PU T M, JIA H, et al . Extension of a sharp-interface immersed-boundary method for simulating parachute inflation[J ] . Advances in Aerodynamics, 2024 , 6 ( 1 ): 3 .
MITTAL R, DONG H, BOZKURTTAS M, et al . A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries[J ] . Journal of Computational Physics, 2008 , 227 ( 10 ): 4825 − 4852 .
VREMAN A W . An eddy-viscosity subgrid-scale model for turbulent shear flow: algebraic theory and applications[J ] . Physics of Fluids, 2004 , 16 ( 10 ): 3670 − 3681 .
HUO Y, GAO Y . Numerical simulation of thermal fluid in partially open enclosures based on Vreman subgrid-scale model[J ] . Chinese Journal of Computational Mechanics, 2013 , 30 ( 1 ): 117 − 123 (in Chinese).
WANG W Q, YAN Y, ZHANG L X, et al . Dynamic global Vreman model for large eddy simulation of transient turbulent flow in complex geometry[J ] . Chinese Journal of Computatio nal Mechanics, 2014 , 31 ( 5 ): 628 − 633 (in Chinese).
PARK N, LEE S, LEE J, et al . A dynamic subgrid-scale eddy viscosity model with a global model coefficient[J ] . Physics of Fluids, 2006 , 18 ( 12 ): 125109 .
YOU D, MOIN P . A dynamic global-coefficient subgrid-scale eddy-viscosity model for large-eddy simulation in complex geometries[J ] . Physics of Fluids, 2007 , 19 ( 6 ): 65110 − 65110-8 .
YOU D, MOIN P . A dynamic global-coefficient subgrid-scale model for large-eddy simulation of turbulent scalar transport in complex geometries[J ] . Physics of Fluids, 2009 , 21 ( 4 ): 045109 .
RAMAKRISHNAN S, MITTAL R, ZHENG L X, et al. Large eddy simulation of flows with complex moving boundaries: Application to flying and swimming in animals[C]//19th AIAA Computational Fluid Dynamics, San Antonio, Texas. Reston, Virginia: AIAA, 2009.
ARAM S, MITTAL R . Computational study of the effect of slot orientation on synthetic jet-based separation control[J ] . International Journal of Flow Control, 2011 , 3 ( 2-3 ): 87 − 110 .
LUO H, DAI H, DE SOUSA P J F, et al . On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries[J ] . Computers Fluids, 2012 , 56 : 61 − 76 .
BUNGARTZ H J, LINDNER F, GATZHAMMER B, et al . preCICE–A fully parallel library for multi-physics surface coupling[J ] . Computers Fluids, 2016 , 141 : 250 − 258 .
MA X, KARAMANOS G S, KARNIADAKIS G E . Dynamics and low-dimensionality of a turbulent near wake[J ] . Journal of Fluid Mechanics, 2000 , 410 : 29 − 65 .
BREUER M . Large eddy simulation of the subcritical flow past a circular cylinder: numerical and modeling aspects[J ] . International Journal for Numerical Methods in Fluids, 1998 , 28 ( 9 ): 1281 − 1302 .
LOURENCO L M, SHIH C. Characteristics of the plane turbulent near wake of a circular cylinder[C]//A particle image velocimetry study, 1993.
GERMANO M, PIOMELLI U, MOIN P, et al . A dynamic subgrid-scale eddy viscosity model[J ] . Physics of Fluids A, 1991 , 3 ( 7 ): 1760 − 1765 .
ROWLEY C W . Model reduction for fluids, using balanced proper orthogonal decomposition[J ] . International Journal of Bifurcation and Chaos, 2005 , 15 ( 3 ): 997 − 1013 .