##
**The multi-domain method for computation of the aerodynamics of a parachute crossing the far wake of an aircraft.**
*(English)*
Zbl 1113.76406

Summary: We present the multi-domain method (MDM) for computation of unsteady flow past a cargo aircraft and around a parachute crossing the aircraft’s far wake. The base computational methods used here are the stabilized semi-discrete and space-time finite element formulations developed earlier. In the MDM, the computational domain is divided into an ordered sequence of overlapping subdomains. The flow field computed over Subdomain-1, which contains the aircraft, supplies the inflow boundary conditions for Subdomain-2, which is used for computing the long-wake flow. Subdomain-3 contains the parachute, and moves across Subdomain-2. The boundary conditions for Subdomain-3 are extracted from the flow field computed over Subdomain-2, at locations corresponding to the positions of the boundaries of Subdomain-3 as it crosses Subdomain-2. The computation over Subdomain-1, which contains a complex but fixed object, is based on a general-purpose implementation of the semi-discrete formulation. The computation over Subdomain-2, which contains no objects, is based on a special-purpose implementation that exploits the simplicity of the mesh to increase the computational speed. The computation over Subdomain-3, which contains a complex and moving object, is based on a general-purpose implementation of the space-time formulation. With a numerical example, we show that different methods can be brought together in the context of the MDM to address the computational challenges involved in the aerodynamics of a parachute crossing the far wake of an aircraft.

PDF
BibTeX
XML
Cite

\textit{T. Tezduyar} and \textit{Y. Osawa}, Comput. Methods Appl. Mech. Eng. 191, No. 6--7, 705--716 (2001; Zbl 1113.76406)

Full Text:
DOI

### References:

[1] | Tezduyar, T.E.; Osawa, Y., Methods for parallel computation of complex flow problems, Parallel comput., 25, 2039-2066, (1999) |

[2] | Osawa, Y.; Kalro, V.; Tezduyar, T.E., Multi-domain parallel computation of wake flows, Comput. methods appl. mech. engrg., 174, 371-391, (1999) · Zbl 0963.76049 |

[3] | Osawa, Y.; Tezduyar, T.E., A multi-domain method for 3D computation of wake flow behind a circular cylinder, Comput. fluid dyn. J., 8, 296-308, (1999) |

[4] | Osawa, Y.; Tezduyar, T.E., 3D simulation and visualization of unsteady wake flow behind a cylinder, J. visualization, 2, 127-134, (1999) |

[5] | T.J.R. Hughes, A.N. Brooks, A multi-dimensional upwind scheme with no crosswind diffusion, in: T.J.R. Hughes (Ed.), Finite Element Methods for Convection Dominated Flows, AMD, vol. 34, ASME, New York, 1979, pp. 19-35 |

[6] | Brooks, A.N.; Hughes, T.J.R., Streamline upwind/petrov – galerkin formulations for convection dominated flows with particular emphasis on the incompressible navier – stokes equations, Comput. methods appl. mech. engrg., 32, 199-259, (1982) · Zbl 0497.76041 |

[7] | Tezduyar, T.E., Stabilized finite element formulations for incompressible flow computations, Adv. appl. mech., 28, 1-44, (1991) · Zbl 0747.76069 |

[8] | Tezduyar, T.E.; Behr, M.; Liou, J., A new strategy for finite element computations involving moving boundaries and interfaces – the deforming-spatial-domain/space-time procedure: I. the concept and the preliminary tests, Comput. methods appl. mech. engrg., 94, 339-351, (1992) · Zbl 0745.76044 |

[9] | Tezduyar, T.E.; Behr, M.; Mittal, S.; Liou, J., A new strategy for finite element computations involving moving boundaries and interfaces – the deforming-spatial-domain/space-time procedure: II. computation of free-surface flows, two-liquid flows, and flows with drifting cylinders, Comput. methods appl. mech. engrg., 94, 353-371, (1992) · Zbl 0745.76045 |

[10] | Saad, Y.; Schultz, M., GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. sci. stat. comput., 7, 856-869, (1986) · Zbl 0599.65018 |

[11] | Behr, M.; Tezduyar, T.E., Finite element solution strategies for large-scale flow simulations, Comput. methods appl. mech. engrg., 112, 3-24, (1994) · Zbl 0846.76041 |

[12] | T.E. Tezduyar, S. Aliabadi, M. Behr, Enhanced-discretization interface-capturing technique (EDICT), in: Y. Matsumoto, A. Prosperetti (Eds.), Proceedings of the ISAC ’97 High Performance Computing on Multiphase Flows, Japan Society of Mechanical Engineers, 1997, pp. 1-6 · Zbl 0961.76046 |

[13] | Tezduyar, T.E.; Aliabadi, S.; Behr, M., Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces, Comput. methods appl. mech. engrg., 155, 235-248, (1998) · Zbl 0961.76046 |

[14] | Mittal, S.; Aliabadi, S.; Tezduyar, T.E., Parallel computation of unsteady compressible flows with the EDICT, Comput. mech., 23, 151-157, (1999) · Zbl 0951.76045 |

[15] | Smagorinsky, J., General circulation experiments with the primitive equations, Mon. weather rev., 91, 99-165, (1963) |

[16] | Van Driest, E.R., On turbulent flow near a wall, J. aerosp. sci., 1, 1007-1011, (1956) · Zbl 0073.20802 |

[17] | Tezduyar, T.E.; Aliabadi, S.; Behr, M.; Johnson, A.; Kalro, V.; Litke, M., Flow simulation and high performance computing, Comput. mech., 18, 397-412, (1996) · Zbl 0893.76046 |

[18] | Johnson, A.A.; Tezduyar, T.E., Parallel computation of incompressible flows with complex geometries, Int. J. numer. meth. fluids, 24, 1321-1340, (1997) · Zbl 0882.76044 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.