Computer Modeling and Analysis of the Orion Spacecraft Parachutes

We focus on fluid-structure interaction (FSI) modeling of the ringsail parachutes to be used with the Orion spacecraft. The geometric porosity of the ringsail parachutes with ring gaps and sail slits is one of the major computational challenges involved in FSI modeling. We address the computational challenges with the latest techniques developed by the Team for Advanced Flow Simulation and Modeling (T ⋆ AFSM) in conjunction with the Stabilized Space–Time Fluid–Structure Interaction (SSTFSI) technique. We investigate the performance of the three possible design configurations of the parachute canopy, carry out parametric studies on using an over-inflation control line (OICL) intended for enhancing the parachute performance, discuss rotational periodicity techniques for improving the geometric-porosity modeling and for computing good starting conditions for parachute clusters, and report results from preliminary FSI computations for parachute clusters. We also present a stability and accuracy analysis for the Deforming-Spatial-Domain/Stabilized Space–Time (DSD/SST) formulation, which is the core numerical technology of the SSTFSI technique.

[1]  Hans-Joachim Bungartz,et al.  Fluid-Structure Interaction on Cartesian Grids: Flow Simulation and Coupling Environment , 2006 .

[2]  Tayfun E. Tezduyar,et al.  Automatic mesh update with the solid-extension mesh moving technique , 2004 .

[3]  Tayfun E. Tezduyar,et al.  Finite Element Methods for Fluid Dynamics with Moving Boundaries and Interfaces , 2004 .

[4]  Thomas J. R. Hughes,et al.  Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations , 1984 .

[5]  Wulf G. Dettmer,et al.  On the coupling between fluid flow and mesh motion in the modelling of fluid–structure interaction , 2008 .

[6]  A. Sameh,et al.  A nested iterative scheme for computation of incompressible flows in long domains , 2008 .

[7]  Mohamed Hamdy Doweidar,et al.  Fourier analysis of semi-discrete and space–time stabilized methods for the advective–diffusive–reactive equation: I. SUPG , 2005 .

[8]  Arif Masud,et al.  A Multiscale/stabilized Formulation of the Incompressible Navier–Stokes Equations for Moving Boundary Flows and Fluid–structure Interaction , 2006 .

[9]  W. Wall,et al.  Fixed-point fluid–structure interaction solvers with dynamic relaxation , 2008 .

[10]  Toshio Kobayashi,et al.  Influence of wall elasticity on image-based blood flow simulations , 2004 .

[11]  Thomas J. R. Hughes,et al.  Patient-specific isogeometric fluid–structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device , 2009 .

[12]  Arif Masud,et al.  An adaptive mesh rezoning scheme for moving boundary flows and fluid-structure interaction , 2007 .

[13]  Richard Benney,et al.  Computational methods for modeling parachute systems , 2003, Comput. Sci. Eng..

[14]  T. Tezduyar.  Computation of moving boundaries and interfaces and stabilization parameters , 2003 .

[15]  Tayfun E. Tezduyar,et al.  PARALLEL COMPUTATION OF INCOMPRESSIBLE FLOWS WITH COMPLEX GEOMETRIES , 1997 .

[16]  S. Mittal,et al.  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 , 1992 .

[17]  Toshio Kobayashi,et al.  Influence of wall thickness on fluid–structure interaction computations of cerebral aneurysms , 2010 .

[18]  Toshio Kobayashi,et al.  Influence of wall elasticity in patient-specific hemodynamic simulations , 2007 .

[19]  Tayfun E. Tezduyar,et al.  Modelling of fluid–structure interactions with the space–time finite elements: Arterial fluid mechanics , 2007 .

[20]  Tayfun E. Tezduyar,et al.  Aerodynamic Interactions Between Parachute Canopies , 2003 .

[21]  Toshiaki Hisada,et al.  Fluid–structure interaction analysis of the two-dimensional flag-in-wind problem by an interface-tracking ALE finite element method , 2007 .

[22]  van Eh Harald Brummelen,et al.  An interface Newton–Krylov solver for fluid–structure interaction , 2005 .

[23]  Tayfun E. Tezduyar,et al.  Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations , 1986 .

[24]  Tayfun E. Tezduyar,et al.  Modelling of fluid–structure interactions with the space–time finite elements: Solution techniques , 2007 .

[25]  T. Hughes,et al.  Isogeometric fluid-structure interaction: theory, algorithms, and computations , 2008 .

[26]  T. Hughes,et al.  Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows , 2007 .

[27]  Tayfun E. Tezduyar,et al.  Space–time finite element computation of complex fluid–structure interactions , 2010 .

[28]  T. Tezduyar,et al.  Arterial fluid mechanics modeling with the stabilized space–time fluid–structure interaction technique , 2008 .

[29]  T. Tezduyar,et al.  Fluid–structure Interaction Modeling of Aneurysmal Conditions with High and Normal Blood Pressures , 2006 .

[30]  Pascal Frey,et al.  Fluid-structure interaction in blood flows on geometries based on medical imaging , 2005 .

[31]  Yuri Bazilevs,et al.  Computational fluid–structure interaction: methods and application to a total cavopulmonary connection , 2009 .

[32]  Tayfun E. Tezduyar,et al.  Solution techniques for the fully discretized equations in computation of fluid–structure interactions with the space–time formulations , 2006 .

[33]  Michael L. Accorsi,et al.  Parachute fluid-structure interactions: 3-D computation , 2000 .

[34]  Marek Behr,et al.  Parallel finite-element computation of 3D flows , 1993, Computer.

[35]  T. Hughes,et al.  A new finite element formulation for computational fluid dynamics. X - The compressible Euler and Navier-Stokes equations , 1991 .

[36]  A. Sameh,et al.  Preconditioning Techniques for Nonsymmetric Linear Systems in the Computation of Incompressible Flows , 2009 .

[37]  Tayfun E. Tezduyar,et al.  Fluid-structure interactions of a parachute crossing the far wake of an aircraft , 2001 .

[38]  Michael L. Accorsi,et al.  Fluid-Structure Interactions of a Round Parachute: Modeling and Simulation Techniques , 2001 .

[39]  Tayfun E. Tezduyar,et al.  Advanced mesh generation and update methods for 3D flow simulations , 1999 .

[40]  Roland Wüchner,et al.  Algorithmic treatment of shells and free form-membranes in FSI , 2006 .

[41]  Tayfun E. Tezduyar,et al.  Wall shear stress calculations in space–time finite element computation of arterial fluid–structure interactions , 2010 .

[42]  Tayfun E. Tezduyar,et al.  Massively parallel finite element simulation Of compressible and incompressible flows , 1994 .

[43]  Tayfun E. Tezduyar,et al.  PARALLEL FINITE ELEMENT SIMULATION OF 3D INCOMPRESSIBLE FLOWS: FLUID-STRUCTURE INTERACTIONS , 1995 .

[44]  Tayfun E. Tezduyar,et al.  Sequentially-Coupled Arterial Fluid-Structure Interaction (SCAFSI) technique , 2009 .

[45]  Tayfun E. Tezduyar,et al.  Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces , 2006 .

[46]  Tayfan E. Tezduyar,et al.  Stabilized Finite Element Formulations for Incompressible Flow Computations , 1991 .

[47]  T. Hughes,et al.  Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement , 2005 .

[48]  René de Borst,et al.  On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem , 2005, SIAM J. Sci. Comput..

[49]  T. Hughes,et al.  Isogeometric Fluid–structure Interaction Analysis with Applications to Arterial Blood Flow , 2006 .

[50]  Tayfun E. Tezduyar,et al.  Space-time finite element techniques for computation of fluid-structure interactions , 2005 .

[51]  Toshio Kobayashi,et al.  Computer modeling of cardiovascular fluid-structure interactions with the deforming-spatial-domain/stabilized space-time formulation , 2006 .

[52]  Yuri Bazilevs,et al.  Determination of Wall Tension in Cerebral Artery Aneurysms by Numerical Simulation , 2008, Stroke.

[53]  Roger Ohayon,et al.  Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems , 2001 .

[54]  Tayfun E. Tezduyar,et al.  Fluid–structure interaction modeling of ringsail parachutes , 2008 .

[55]  Tayfun E. Tezduyar,et al.  Interface projection techniques for fluid–structure interaction modeling with moving-mesh methods , 2008 .

[56]  S. Mittal,et al.  Massively parallel finite element computation of incompressible flows involving fluid-body interactions , 1994 .

[57]  T. Tezduyar,et al.  Numerical investigation of the effect of hypertensive blood pressure on cerebral aneurysm—Dependence of the effect on the aneurysm shape , 2007 .

[58]  T. Hughes,et al.  A new finite element formulation for computational fluid dynamics: II. Beyond SUPG , 1986 .

[59]  Ryo Torii,et al.  Role of 0D peripheral vasculature model in fluid–structure interaction modeling of aneurysms , 2010 .

[60]  Yuri Bazilevs,et al.  A fully-coupled fluid-structure interaction simulation of cerebral aneurysms , 2010 .

[61]  Ekkehard Ramm,et al.  A strong coupling partitioned approach for fluid–structure interaction with free surfaces , 2007 .

[62]  J. Z. Zhu,et al.  The finite element method , 1977 .

[63]  T. Tezduyar,et al.  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 , 1992 .

[64]  Tayfun E. Tezduyar,et al.  Fluid-structure interactions of a cross parachute: Numerical simulation , 2001 .

[65]  T. Tezduyar,et al.  Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements , 2003 .

[66]  Tayfun E. Tezduyar,et al.  Space–time finite element computation of arterial fluid–structure interactions with patient‐specific data , 2010 .

[67]  W. Wall,et al.  A Solution for the Incompressibility Dilemma in Partitioned Fluid–Structure Interaction with Pure Dirichlet Fluid Domains , 2006 .

[68]  Toshio Kobayashi,et al.  Fluid-structure interaction modeling of blood flow and cerebral aneurysm: Significance of artery and aneurysm shapes , 2009 .

[69]  Wing Kam Liu,et al.  Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆ , 1981 .

[70]  Tayfun E. Tezduyar,et al.  Modeling of Fluid-Structure Interactions with the Space-Time Techniques , 2006 .

[71]  T. Tezduyar,et al.  Fluid–structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling , 2008 .

[72]  Murat Manguoglu,et al.  Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement , 2010 .

[73]  Rainald Löhner,et al.  Extending the Range and Applicability of the Loose Coupling Approach for FSI Simulations , 2006 .

[74]  Tayfun E. Tezduyar,et al.  Multiscale sequentially-coupled arterial FSI technique , 2010 .

[75]  D. Peric,et al.  A computational framework for fluid–structure interaction: Finite element formulation and applications , 2006 .

[76]  T. Tezduyar,et al.  A parallel 3D computational method for fluid-structure interactions in parachute systems , 2000 .