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Space–time finite element computation of complex fluid–structure interactions. (English) Zbl 1427.76148

Summary: New special fluid–structure interaction (FSI) techniques, supplementing the ones developed earlier, are employed with the Stabilized Space–Time FSI (SSTFSI) technique. The new special techniques include improved ways of calculating the equivalent fabric porosity in Homogenized Modeling of Geometric Porosity (HMGP), improved ways of building a starting point in FSI computations, ways of accounting for fluid forces acting on structural components that are not expected to influence the flow, adaptive HMGP, and multiscale sequentially coupled FSI techniques. While FSI modeling of complex parachutes was the motivation behind developing some of these techniques, they are also applicable to other classes of complex FSI problems. We also present new ideas to increase the scope of our FSI and CFD techniques.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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[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 III 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 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] Lohner, Lecture Notes in Computational Science and Engineering, in: Fluid-Structure Interaction pp 82– (2006)
[29] Bletzinger, Lecture Notes in Computational Science and Engineering, in: Fluid-Structure Interaction pp 336– (2006)
[30] Masud, An adaptive mesh rezoning scheme for moving boundary flows and fluid-structure interaction, Computers and Fluids 36 pp 77– (2007) · Zbl 1181.76108
[31] Torii, Influence of wall elasticity in patient-specific hemodynamic simulations, Computers and Fluids 36 pp 160– (2007) · Zbl 1113.76105
[32] 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
[33] Wall, A strong coupling partitioned approach for fluid-structure interaction with free surfaces, Computers and Fluids 36 pp 169– (2007)
[34] 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
[35] 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
[36] 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
[37] Manguoglu, A nested iterative scheme for computation of incompressible flows in long domains, Computational Mechanics 43 pp 73– (2008) · Zbl 1279.76024
[38] Tezduyar, Interface projection techniques for fluid-structure interaction modeling with moving-mesh methods, Computational Mechanics 43 pp 39– (2008) · Zbl 1310.74049
[39] 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
[40] Bazilevs, Isogeometric fluid-structure interaction: theory, algorithms, and computations, Computational Mechanics 43 pp 3– (2008) · Zbl 1169.74015
[41] Torii, Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling, Computational Mechanics 43 pp 151– (2008) · Zbl 1169.74032
[42] Isaksen, Determination of wall tension in cerebral artery aneurysms by numerical simulation, Stroke 39 pp 3172– (2008)
[43] Kuttler, Fixed-point fluid-structure interaction solvers with dynamic relaxation, Computational Mechanics 43 pp 61– (2008)
[44] 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
[45] Tezduyar, Sequentially-coupled arterial fluid-structure interaction (SCAFSI) technique, Computer Methods in Applied Mechanics and Engineering 198 pp 3524– (2009) · Zbl 1229.74100
[46] 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
[47] Manguoglu, Preconditioning techniques for nonsymmetric linear systems in computation of incompressible flows, Journal of Applied Mechanics 76 pp 021204– (2009)
[48] 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 (2009) · Zbl 1229.74096
[49] Takizawa, Space-time finite element computation of arterial fluid-structure interactions with patient-specific data, Communications in Numerical Methods in Engineering (2009)
[50] Tezduyar, International Workshop on Fluid-Structure Interaction-Theory. Numerics and Applications pp 231– (2009)
[51] Torii, Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms, Communications in Numerical Methods in Engineering (2009)
[52] Manguoglu, Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement, Computational Mechanics (2009)
[53] Tezduyar, Stabilized finite element formulations for incompressible flow computations, Advances in Applied Mechanics 28 pp 1– (1992) · Zbl 0747.76069
[54] 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
[55] 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
[56] Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, International Journal for Numerical Methods in Fluids 43 pp 555– (2003) · Zbl 1201.76123
[57] Hughes, Finite Element Methods for Convection Dominated Flows 34 pp 19– (1979)
[58] Brooks, Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering 32 pp 199– (1982) · Zbl 0497.76041
[59] Tezduyar, Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements, Computer Methods in Applied Mechanics and Engineering 95 pp 221– (1992) · Zbl 0756.76048
[60] Hughes, A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations, Computer Methods in Applied Mechanics and Engineering 59 pp 85– (1986) · Zbl 0622.76077
[61] Tezduyar, New Methods in Transient Analysis 246 pp 7– (1992)
[62] Johnson, Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces, Computer Methods in Applied Mechanics and Engineering 119 pp 73– (1994) · Zbl 0848.76036
[63] Tezduyar, Finite element methods for flow problems with moving boundaries and interfaces, Archives of Computational Methods in Engineering 8 pp 83– (2001)
[64] Tezduyar, Encyclopedia of Computational Mechanics 3 (2004)
[65] Stein, Fluid-structure interactions of a cross parachute: numerical simulation, Computer Methods in Applied Mechanics and Engineering 191 pp 673– (2001) · Zbl 0999.76085
[66] Tezduyar, Finite Element Methods: 1970’s and Beyond pp 205– (2004)
[67] Tezduyar, Interface-tracking 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
[68] Tezduyar TE Sathe S Senga M Aureli L Stein K Griffin B Finite element modeling of fluid-structure interactions with space-time and advanced mesh update techniques
[69] Tezduyar, Fluid-structure interaction modeling of ringsail parachutes, Computational Mechanics 43 pp 133– (2008) · Zbl 1209.74022
[70] Hoerner, Fluid Dynamic Drag (1993)
[71] Saad, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM Journal on Scientific and Statistical Computing 7 pp 856– (1986)
[72] Tezduyar, Marine 2009 (2009)
[73] Tezduyar, Stabilized formulations for incompressible flows with thermal coupling, International Journal for Numerical Methods in Fluids 57 pp 1189– (2008) · Zbl 1140.76024
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