## 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.

### MSC:

 76M10 Finite element methods applied to problems in fluid mechanics 76D25 Wakes and jets
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### 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
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