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**A parallel 3D computational method for fluid-structure interactions in parachute systems.**
*(English)*
Zbl 0993.76044

Summary: We present a parallel finite element computational method for three-dimensional simulation of fluid-structure interaction in parachute systems. The flow solver is based on a stabilized finite element formulation applicable to problem involving moving boundaries and governed by incompressible Navier-Stokes equations. The structural dynamics (SD) solver is based on the total Lagrangian description of motion, with cable and membrane elements. The nonlinear equation system is solved iteratively, with a segregated treatment of the fluid and SD equations. The large linear equation systems that need to be solved at every nonlinear iteration are also solved iteratively. The parallel implementation is accomplished using a message-passing programming environment. As a test case, the method is applied to the computation of equilibrium configuration of an anchored ram-air parachute placed in air stream.

### MSC:

76M10 | Finite element methods applied to problems in fluid mechanics |

76S05 | Flows in porous media; filtration; seepage |

76D05 | Navier-Stokes equations for incompressible viscous fluids |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

65Y05 | Parallel numerical computation |

### Keywords:

parallel finite element method; fluid-structure interaction; parachute systems; stabilized finite element formulation; incompressible Navier-Stokes equations; structural dynamics; total Lagrangian description of motion; cable; membrane; nonlinear iteration; message-passing programming environment; anchored ram-air parachute
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\textit{V. Kalro} and \textit{T. E. Tezduyar}, Comput. Methods Appl. Mech. Eng. 190, No. 3--4, 321--332 (2000; Zbl 0993.76044)

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### References:

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