## Fluid–structure interaction modeling and performance analysis of the Orion spacecraft parachutes.(English)Zbl 1428.76011

Summary: We focus on fluid–structure interaction (FSI) modeling and performance analysis of the ringsail parachutes to be used with the Orion spacecraft. We address the computational challenges with the latest techniques developed by the T$$\star$$AFSM (Team for Advanced Flow Simulation and Modeling) in conjunction with the SSTFSI (Stabilized Space–Time Fluid–Structure Interaction) technique. The challenges involved in FSI modeling include the geometric porosity of the ringsail parachutes with ring gaps and sail slits. We investigate the performance of three possible design configurations of the parachute canopy. We also describe the techniques developed recently for building a consistent starting condition for the FSI computations, discuss rotational periodicity techniques for improving the geometric-porosity modeling, and introduce a new version of the HMGP (Homogenized Modeling of Geometric Porosity).

### MSC:

 76-10 Mathematical modeling or simulation for problems pertaining to fluid mechanics 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 76S05 Flows in porous media; filtration; seepage
Full Text:

### References:

 [1] Hughes, Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Computer Methods in Applied Mechanics and Engineering 29 pp 329– (1981) · Zbl 0482.76039 [2] Tezduyar, Parallel finite-element computation of 3D flows, Computer 26 pp 27– (1993) [3] Tezduyar, Massively parallel finite element simulation of compressible and incompressible flows, Computer Methods in Applied Mechanics and Engineering 119 pp 157– (1994) · Zbl 0848.76040 [4] Mittal, Massively parallel finite element computation of incompressible flows involving fluid-body interactions, Computer Methods in Applied Mechanics and Engineering 112 pp 253– (1994) · Zbl 0846.76048 [5] Mittal, Parallel finite element simulation of 3D incompressible flows-Fluid-structure interactions, International Journal for Numerical Methods in Fluids 21 pp 933– (1995) · Zbl 0873.76047 [6] Johnson, Parallel computation of incompressible flows with complex geometries, International Journal for Numerical Methods in Fluids 24 pp 1321– (1997) · Zbl 0882.76044 [7] Johnson, Advanced mesh generation and update methods for 3D flow simulations, Computational Mechanics 23 pp 130– (1999) · Zbl 0949.76049 [8] Kalro, A parallel 3D computational method for fluid-structure interactions in parachute systems, Computer Methods in Applied Mechanics and Engineering 190 pp 321– (2000) · Zbl 0993.76044 [9] Stein, Parachute fluid-structure interactions: 3-D computation, Computer Methods in Applied Mechanics and Engineering 190 pp 373– (2000) · Zbl 0973.76055 [10] Tezduyar, Fluid-structure interactions of a parachute crossing the far wake of an aircraft, Computer Methods in Applied Mechanics and Engineering 191 pp 717– (2001) · Zbl 1113.76407 [11] Ohayon, Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems, Computer Methods in Applied Mechanics and Engineering 190 pp 3009– (2001) · Zbl 0971.74032 [12] Stein, Mesh moving techniques for fluid-structure interactions with large displacements, Journal of Applied Mechanics 70 pp 58– (2003) · Zbl 1110.74689 [13] Stein, Automatic mesh update with the solid-extension mesh moving technique, Computer Methods in Applied Mechanics and Engineering 193 pp 2019– (2004) · Zbl 1067.74587 [14] Torii, Influence of wall elasticity on image-based blood flow simulation, Japan Society of Mechanical Engineers Journal Series A 70 pp 1224– (2004) [15] Tezduyar, Proceedings of the Third International Congress on Numerical Methods in Engineering and Applied Science (2004) [16] van Brummelen, On the nonnormality of subiteration for a fluid-structure interaction problem, SIAM Journal on Scientific Computing 27 pp 599– (2005) · Zbl 1136.65334 [17] Michler, An interface Newton-Krylov solver for fluid-structure interaction, International Journal for Numerical Methods in Fluids 47 pp 1189– (2005) · Zbl 1069.76033 [18] Gerbeau, Fluid-structure interaction in blood flow on geometries based on medical images, Computers and Structures 83 pp 155– (2005) [19] Tezduyar, Space-time finite element techniques for computation of fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering 195 pp 2002– (2006) [20] Tezduyar, Solution techniques for the fully discretized equations in computation of fluid-structure interactions with the space-time formulations, Computer Methods in Applied Mechanics and Engineering 195 pp 5743– (2006) · Zbl 1123.76035 [21] Torii, Computer modeling of cardiovascular fluid-structure interactions with the Deforming-Spatial-Domain/Stabilized Space-Time formulation, Computer Methods in Applied Mechanics and Engineering 195 pp 1885– (2006) · Zbl 1178.76241 [22] Tezduyar, Lecture Notes in Computational Science and Engineering, in: Fluid-Structure Interaction-Modelling, Simulation, Optimization pp 50– (2006) [23] Torii, Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures, Computational Mechanics 38 pp 482– (2006) · Zbl 1160.76061 [24] Bazilevs, Isogeometric fluid-structure interaction analysis with applications to arterial blood flow, Computational Mechanics 38 pp 310– (2006) · Zbl 1161.74020 [25] Dettmer, A computational framework for fluid-structure interaction: finite element formulation and applications, Computer Methods in Applied Mechanics and Engineering 195 pp 5754– (2006) [26] Khurram, A multiscale/stabilized formulation of the incompressible Navier-Stokes equations for moving boundary flows and fluid-structure interaction, Computational Mechanics 38 pp 403– (2006) · Zbl 1184.76720 [27] Kuttler, A solution for the incompressibility dilemma in partitioned fluid-structure interaction with pure Dirichlet fluid domains, Computational Mechanics 38 pp 417– (2006) [28] Brenk, Lecture Notes in Computational Science and Engineering, in: Fluid-Structure Interaction pp 233– (2006) [29] Lohner, Lecture Notes in Computational Science and Engineering, in: Fluid-Structure Interaction pp 82– (2006) [30] Bletzinger, Lecture Notes in Computational Science and Engineering, in: Fluid-Structure Interaction pp 336– (2006) [31] Masud, An adaptive mesh rezoning scheme for moving boundary flows and fluid-structure interaction, Computers and Fluids 36 pp 77– (2007) · Zbl 1181.76108 [32] Torii, Influence of wall elasticity in patient-specific hemodynamic simulations, Computers and Fluids 36 pp 160– (2007) · Zbl 1113.76105 [33] Sawada, Fuid-structure interaction analysis of the two dimensional flag-in-wind problem by an interface tracking ALE finite element method, Computers and Fluids 36 pp 136– (2007) · Zbl 1181.76099 [34] Wall, A strong coupling partitioned approach for fluid-structure interaction with free surfaces, Computers and Fluids 36 pp 169– (2007) [35] Tezduyar, Modeling of fluid-structure interactions with the space-time finite elements: solution techniques, International Journal for Numerical Methods in Fluids 54 pp 855– (2007) · Zbl 1144.74044 [36] Tezduyar, Modeling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics, International Journal for Numerical Methods in Fluids 54 pp 901– (2007) · Zbl 1276.76043 [37] Torii, Numerical investigation of the effect of hypertensive blood pressure on cerebral aneurysm-Dependence of the effect on the aneurysm shape, International Journal for Numerical Methods in Fluids 54 pp 995– (2007) · Zbl 1317.76107 [38] Manguoglu, A nested iterative scheme for computation of incompressible flows in long domains, Computational Mechanics 43 pp 73– (2008) · Zbl 1279.76024 [39] Tezduyar, Interface projection techniques for fluid-structure interaction modeling with moving-mesh methods, Computational Mechanics 43 pp 39– (2008) · Zbl 1310.74049 [40] Tezduyar, Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique, International Journal for Numerical Methods in Fluids 57 pp 601– (2008) · Zbl 1230.76054 [41] Bazilevs, Isogeometric fluid-structure interaction: theory, algorithms, and computations, Computational Mechanics 43 pp 3– (2008) · Zbl 1169.74015 [42] Torii, Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling, Computational Mechanics 43 pp 151– (2008) · Zbl 1169.74032 [43] Isaksen, Determination of wall tension in cerebral artery aneurysms by numerical simulation, Stroke 39 pp 3172– (2008) [44] Kuttler, Fixed-point fluid-structure interaction solvers with dynamic relaxation, Computational Mechanics 43 pp 61– (2008) [45] Dettmer, On the coupling between fluid flow and mesh motion in the modelling of fluid-structure interaction, Computational Mechanics 43 pp 81– (2008) · Zbl 1235.74272 [46] Tezduyar, Sequentially Coupled Arterial Fluid-Structure Interaction (SCAFSI) technique, Computer Methods in Applied Mechanics and Engineering 198 pp 3524– (2009) · Zbl 1229.74100 [47] Torii, Fluid-structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes, Computer Methods in Applied Mechanics and Engineering 198 pp 3613– (2009) · Zbl 1229.74101 [48] Manguoglu, Preconditioning techniques for nonsymmetric linear systems in computation of incompressible flows, Journal of Applied Mechanics 76 (2009) [49] Bazilevs, Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device, Computer Methods in Applied Mechanics and Engineering 198 pp 3534– (2009) · Zbl 1229.74096 [50] Takizawa, Space-time finite element computation of arterial fluid-structure interactions with patient-specific data, International Journal for Numerical Methods in Biomedical Engineering 26 pp 101– (2010) · Zbl 1180.92023 [51] Tezduyar, International Workshop on Fluid-Structure Interaction-Theory, Numerics and Applications (2009) [52] Torii, Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms, International Journal for Numerical Methods in Biomedical Engineering (2009) [53] Manguoglu, Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement, Computational Mechanics (2009) [54] Bazilevs, Computational fluid-structure interaction: methods and application to a total cavopulmonary connection, Computational Mechanics 45 pp 77– (2009) · Zbl 1398.92056 [55] Bazilevs, A fully coupled fluid-structure interaction simulation of cerebral aneurysms, Computational Mechanics (2009) · Zbl 1301.92014 [56] Tezduyar, Multiscale sequentially coupled arterial FSI technique, Computational Mechanics (2009) · Zbl 1261.92010 [57] Takizawa, Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions, Computational Mechanics (2009) [58] Torii, Role of 0D peripheral vasculature model in fluid-structure interaction modeling of aneurysms, Computational Mechanics (2009) · Zbl 1301.92020 [59] Tezduyar, Space-time finite element computation of complex fluid-structure interactions, International Journal for Numerical Methods in Fluids (2009) [60] Stein, Fluid-structure interactions of a cross parachute: numerical simulation, Computer Methods in Applied Mechanics and Engineering 191 pp 673– (2001) · Zbl 0999.76085 [61] Stein, Fluid-structure interactions of a round parachute: modeling and simulation techniques, Journal of Aircraft 38 pp 800– (2001) [62] Stein, Aerodynamic interactions between parachute canopies, Journal of Applied Mechanics 70 pp 50– (2003) · Zbl 1110.74690 [63] Stein, Computational methods for modeling parachute systems, Computing in Science and Engineering 5 pp 39– (2003) [64] Tezduyar, Fluid-structure interaction modeling of ringsail parachutes, Computational Mechanics 43 pp 133– (2008) · Zbl 1209.74022 [65] Tezduyar, Stabilized finite element formulations for incompressible flow computations, Advances in Applied Mechanics 28 pp 1– (1992) · Zbl 0747.76069 [66] Tezduyar, 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 numerical tests, Computer Methods in Applied Mechanics and Engineering 94 pp 339– (1992) · Zbl 0745.76044 [67] Tezduyar, 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, Computer Methods in Applied Mechanics and Engineering 94 pp 353– (1992) · Zbl 0745.76045 [68] Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, International Journal for Numerical Methods in Fluids 43 pp 555– (2003) · Zbl 1201.76123 [69] Tezduyar, Encyclopedia of Computational Mechanics 3 (2004) [70] Tezduyar, Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces, Computer Methods in Applied Mechanics and Engineering 195 pp 2983– (2006) · Zbl 1176.76076 [71] Saad, GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM Journal on Scientific and Statistical Computing 7 pp 856– (1986) · Zbl 0599.65018 [72] Karypis, A fast and high quality multilevel scheme for partitioning irregular graphs, SIAM Journal on Scientific Computing 20 pp 359– (1998) · Zbl 0915.68129
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.