Simulation of 3D parachute fluid–structure interaction based on nonlinear finite element method and preconditioning finite volume method |
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摘 要: | A fluid–structure interaction method combining a nonlinear finite element algorithm with a preconditioning finite volume method is proposed in this paper to simulate parachute transient dynamics. This method uses a three-dimensional membrane–cable fabric model to represent a parachute system at a highly folded configuration. The large shape change during parachute inflation is computed by the nonlinear Newton–Raphson iteration and the linear system equation is solved by the generalized minimal residual(GMRES) method. A membrane wrinkling algorithm is also utilized to evaluate the special uniaxial tension state of membrane elements on the parachute canopy. In order to avoid large time expenses during structural nonlinear iteration, the implicit Hilber–Hughes–Taylor(HHT) time integration method is employed. For the fluid dynamic simulations, the Roe and HLLC(Harten–Lax–van Leer contact) scheme has been modified and extended to compute flow problems at all speeds. The lower–upper symmetric Gauss–Seidel(LUSGS) approximate factorization is applied to accelerate the numerical convergence speed. Finally,the test model of a highly folded C-9 parachute is simulated at a prescribed speed and the results show similar characteristics compared with experimental results and previous literature.
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关 键 词: | 流体动力学模拟 非线性有限元法 降落伞系统 有限体积法 预处理 有限元算法 3D 收敛速度 |
收稿时间: | 11 November 2013 |
Simulation of 3D parachute fluid-structure interaction based on nonlinear finite element method and preconditioning finite volume method |
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Authors: | Fan Yuxin Xia Jian |
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Institution: | College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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Abstract: | A fluid–structure interaction method combining a nonlinear finite element algorithm with a preconditioning finite volume method is proposed in this paper to simulate parachute transient dynamics. This method uses a three-dimensional membrane–cable fabric model to represent a parachute system at a highly folded configuration. The large shape change during parachute inflation is computed by the nonlinear Newton–Raphson iteration and the linear system equation is solved by the generalized minimal residual (GMRES) method. A membrane wrinkling algorithm is also utilized to evaluate the special uniaxial tension state of membrane elements on the parachute canopy. In order to avoid large time expenses during structural nonlinear iteration, the implicit Hilber–Hughes–Taylor (HHT) time integration method is employed. For the fluid dynamic simulations, the Roe and HLLC (Harten–Lax–van Leer contact) scheme has been modified and extended to compute flow problems at all speeds. The lower–upper symmetric Gauss–Seidel (LU-SGS) approximate factorization is applied to accelerate the numerical convergence speed. Finally, the test model of a highly folded C-9 parachute is simulated at a prescribed speed and the results show similar characteristics compared with experimental results and previous literature. |
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Keywords: | Flow fields analysis Fluid-structure interaction Nonlinear structural dynam-ics Numerical analysis Parachute inflation |
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