×

Space-time fluid-structure interaction modeling of patient-specific cerebral aneurysms. (English) Zbl 1244.92036

Summary: We provide an extensive overview of the core and special techniques developed earlier by the Team for Advanced Flow Simulation and Modeling (T\(\star\)AFSM) for space-time fluid-structure interaction (FSI) modeling of patient-specific cerebral aneurysms. The core FSI techniques are the Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation and the stabilized space-time FSI (SSTFSI) technique. The special techniques include techniques for calculating an estimated zero-pressure (EZP) arterial geometry, a special mapping technique for specifying the velocity profile at an inflow boundary with non-circular shape, techniques for using variable arterial wall thickness, mesh generation techniques for building layers of refined fluid mechanics mesh near the arterial walls, a recipe for pre-FSI computations that improve the convergence of the FSI computations, the Sequentially-Coupled Arterial FSI (SCAFSI) technique and its multiscale versions, techniques for the projection of fluid-structure interface stresses, calculation of the wall shear stress (WSS) and calculation of the oscillatory shear index (OSI) and arterial-surface extraction and boundary condition techniques. We show how these techniques work with results from earlier computations. We also describe the arterial FSI techniques developed and implemented recently by the T\(\star\)AFSM and present a sample from a wide set of patient-specific cerebral aneurysm models we computed recently.

MSC:

92C50 Medical applications (general)
92C35 Physiological flow
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Torii, Influence of wall elasticity on image-based blood flow simulation, Japan Society of Mechanical Engineers Journal Series A 70 pp 1224– (2004)
[2] 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
[3] Torii, Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures, Computational Mechanics 38 pp 482– (2006) · Zbl 1160.76061
[4] Bazilevs, Isogeometric fluid-structure interaction analysis with applications to arterial blood flow, Computational Mechanics 38 pp 310– (2006) · Zbl 1161.74020
[5] 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
[6] Torii, Influence of wall elasticity in patient-specific hemodynamic simulations, Computers and Fluids 36 pp 160– (2007) · Zbl 1113.76105
[7] 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
[8] Bazilevs, YZ{\(\beta\)} discontinuity-capturing for advection-dominated processes with application to arterial drug delivery, International Journal for Numerical Methods in Fluids 54 pp 593– (2007) · Zbl 1207.76049
[9] 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
[10] Torii, Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling, Computational Mechanics 43 pp 151– (2008) · Zbl 1169.74032
[11] Bazilevs, Isogeometric fluid-structure interaction: theory, algorithms, and computations, Computational Mechanics 43 pp 3– (2008) · Zbl 1169.74015
[12] Isaksen, Determination of wall tension in cerebral artery aneurysms by numerical simulation, Stroke 39 pp 3172– (2008)
[13] Maynard, A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method, Communications in Numerical Methods in Engineering 24 pp 367– (2008) · Zbl 1137.92009
[14] Tezduyar, Sequentially-coupled arterial fluid-structure interaction (SCAFSI) technique, Computer Methods in Applied Mechanics and Engineering 198 pp 3524– (2009) · Zbl 1229.74100
[15] 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
[16] 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
[17] Bazilevs, Computational fluid-structure interaction: methods and application to a total cavopulmonary connection, Computational Mechanics 45 pp 77– (2009) · Zbl 1398.92056
[18] 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
[19] Tezduyar, International Workshop on Fluid-Structure Interaction-Theory, Numerics and Applications pp 231– (2009)
[20] Tezduyar, Multiscale sequentially-coupled arterial FSI technique, Computational Mechanics 46 pp 17– (2010) · Zbl 1261.92010
[21] Takizawa, Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions, Computational Mechanics 46 pp 31– (2010) · Zbl 1301.92019
[22] Torii, Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms, International Journal for Numerical Methods in Biomedical Engineering 26 pp 336– (2010) · Zbl 1183.92050
[23] Torii, Role of 0D peripheral vasculature model in fluid-structure interaction modeling of aneurysms, Computational Mechanics 46 pp 43– (2010) · Zbl 1301.92020
[24] Bazilevs, A fully-coupled fluid-structure interaction simulation of cerebral aneurysms, Computational Mechanics 46 pp 3– (2010) · Zbl 1301.92014
[25] Bazilevs, Computational fluid-structure interaction: Methods and application to cerebral aneurysms, Biomechanics and Modeling in Mechanobiology 9 pp 481– (2010)
[26] Bazilevs, From imaging to prediction: Emerging non-invasive methods in pediatric cardiology, Progress in Pediatric Cardiology 30 pp 81– (2010)
[27] Mut, Fast numerical solutions of patient-specific blood flows in 3D arterial systems, International Journal for Numerical Methods in Biomedical Engineering 26 pp 73– (2010) · Zbl 1180.92022
[28] Bevan, Application of a locally conservative Galerkin (LCG) method for modelling blood flow through a patient-specific carotid bifurcation, International Journal for Numerical Methods in Fluids (2010) · Zbl 1203.92034
[29] Chitra, Non-Newtonian blood flow study in a model cavopulmonary vascular system, International Journal for Numerical Methods in Fluids (2010)
[30] Cebral, Clinical application of image-based cfd for cerebral aneurysms, International Journal for Numerical Methods in Biomedical Engineering (2010) · Zbl 1219.92035
[31] Takizawa, Patient-specific arterial fluid-structure interaction modeling of cerebral aneurysms, International Journal for Numerical Methods in Fluids 65 pp 308– (2011) · Zbl 1203.92044
[32] Torii, Influencing factors in image-based fluid-structure interaction computation of cerebral aneurysms, International Journal for Numerical Methods in Fluids 65 pp 324– (2011) · Zbl 1203.92045
[33] Hughes, Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Computer Methods in Applied Mechanics and Engineering 29 pp 329– (1981) · Zbl 0482.76039
[34] Tezduyar, Parallel finite-element computation of 3D flows, Computer 26 pp 27– (1993) · Zbl 05090697
[35] 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
[36] 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
[37] 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
[38] Johnson, Parallel computation of incompressible flows with complex geometries, International Journal for Numerical Methods in Fluids 24 pp 1321– (1997) · Zbl 0882.76044
[39] Johnson, Advanced mesh generation and update methods for 3D flow simulations, Computational Mechanics 23 pp 130– (1999) · Zbl 0949.76049
[40] V., 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
[41] Stein, Parachute fluid-structure interactions: 3-D Computation, Computer Methods in Applied Mechanics and Engineering 190 pp 373– (2000) · Zbl 0973.76055
[42] 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
[43] 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
[44] Stein, Mesh moving techniques for fluid-structure interactions with large displacements, Journal of Applied Mechanics 70 pp 58– (2003) · Zbl 1110.74689
[45] 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
[46] Tezduyar, Proceedings of the III International Congress on Numerical Methods in Engineering and Applied Science (2004)
[47] 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
[48] Tezduyar, Space-time finite element techniques for computation of fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering 195 pp 2002– (2006) · Zbl 1118.74052
[49] 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
[50] 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
[51] 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
[52] 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
[53] Manguoglu, A nested iterative scheme for computation of incompressible flows in long domains, Computational Mechanics 43 pp 73– (2008) · Zbl 1279.76024
[54] Tezduyar, Interface projection techniques for fluid-structure interaction modeling with moving-mesh methods, Computational Mechanics 43 pp 39– (2008) · Zbl 1310.74049
[55] Kuttler, Fixed-point fluid-structure interaction solvers with dynamic relaxation, Computational Mechanics 43 pp 61– (2008) · Zbl 1236.74284
[56] 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
[57] Manguoglu, Preconditioning techniques for nonsymmetric linear systems in computation of incompressible flows, Journal of Applied Mechanics 76 (2009)
[58] Manguoglu, Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement, Computational Mechanics 46 pp 83– (2010) · Zbl 1301.76087
[59] Tezduyar, Space-time finite element computation of complex fluid-structure interactions, International Journal for Numerical Methods in Fluids 64 pp 1201– (2010) · Zbl 1427.76148
[60] Bazilevs, 3D simulation of wind turbine rotors at full scale. Part I: geometry modeling and aerodynamics, International Journal for Numerical Methods in Fluids 65 pp 207– (2011) · Zbl 1428.76086
[61] Bazilevs, 3D simulation of wind turbine rotors at full scale. Part II: fluid-structure interaction modeling with composite blades, International Journal for Numerical Methods in Fluids 65 pp 236– (2011) · Zbl 1428.76087
[62] Takizawa, Fluid-structure interaction modeling and performance analysis of the Orion spacecraft parachutes, International Journal for Numerical Methods in Fluids 65 pp 271– (2011) · Zbl 1428.76011
[63] Takizawa, Fluid-structure interaction modeling of parachute clusters, International Journal for Numerical Methods in Fluids 65 pp 286– (2011) · Zbl 1426.76312
[64] Manguoglu, Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement, International Journal for Numerical Methods in Fluids 65 pp 135– (2011) · Zbl 1427.76285
[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 1032.76605
[69] 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
[70] 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
[71] 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
[72] Hughes, Space-time finite element methods for elastodynamics: formulations and error estimates, Computer Methods in Applied Mechanics and Engineering 66 pp 339– (1988) · Zbl 0616.73063
[73] Tezduyar, New Methods in Transient Analysis pp 7– (1992)
[74] 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
[75] Tezduyar, Finite element methods for flow problems with moving boundaries and interfaces, Archives of Computational Methods in Engineering 8 pp 83– (2001) · Zbl 1039.76037
[76] Tezduyar, Encyclopedia of Computational Mechanics 3 (2004)
[77] Tezduyar, Marine 2007 (2007)
[78] Tezduyar, Coupled Problems 2007 (2007)
[79] Wells, Shear rate dependence of the viscosity of whole blood and plasma, Science 133 pp 763– (1961)
[80] Betsch, A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains, Computer Methods in Applied Mechanics and Engineering 130 pp 57– (1996) · Zbl 0861.73068
[81] Stuparu, Proceedings of the X-th Conference on Mechanical Vibrations (2002)
[82] Tezduyar, Finite element stabilization parameters computed from element matrices and vectors, Computer Methods in Applied Mechanics and Engineering 190 pp 411– (2000) · Zbl 0973.76057
[83] Akin, Stabilization parameters and Smagorinsky turbulence model, Journal of Applied Mechanics 70 pp 2– (2003) · Zbl 1110.74311
[84] Akin, Calculation of the advective limit of the SUPG stabilization parameter for linear and higher-order elements, Computer Methods in Applied Mechanics and Engineering 193 pp 1909– (2004) · Zbl 1067.76557
[85] Tezduyar, Finite elements in fluids: stabilized formulations and moving boundaries and interfaces, Computers and Fluids 36 pp 191– (2007) · Zbl 1177.76202
[86] Rispoli, Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD), Computers and Fluids 36 pp 121– (2007) · Zbl 1181.76098
[87] Catabriga, Compressible flow SUPG parameters computed from element matrices, Communications in Numerical Methods in Engineering 21 pp 465– (2005) · Zbl 1329.76161
[88] Catabriga, Compressible flow SUPG parameters computed from degree-of-freedom submatrices, Computational Mechanics 38 pp 334– (2006) · Zbl 1176.76061
[89] Hsu, Improving stability of stabilized and multiscale formulations in flow simulations at small time steps, Computer Methods in Applied Mechanics and Engineering 199 pp 828– (2010) · Zbl 1406.76028
[90] Corsini, Stabilized finite element computation of NOx emission in aero-engine combustors, International Journal for Numerical Methods in Fluids 65 pp 254– (2011) · Zbl 1426.76240
[91] Tezduyar, Discontinuity capturing finite element formulations for nonlinear convection-diffusion-reaction equations, Computer Methods in Applied Mechanics and Engineering 59 pp 307– (1986) · Zbl 0593.76096
[92] Shakib, A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering 89 pp 141– (1991)
[93] Lo A Nonlinear Dynamic Analysis of Cable and Membrane Structure 1982
[94] Benney RJ Stein KR Leonard JW Accorsi ML Current 3-D structural dynamic finite element modeling capabilities
[95] Hilber, Improved numerical dissipation for time integration algorithms in structural dynamics, Earthquake Engineering and Structural Dynamics 5 pp 283– (1977)
[96] 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
[97] Johnson, Simulation of multiple spheres falling in a liquid-filled tube, Computer Methods in Applied Mechanics and Engineering 134 pp 351– (1996) · Zbl 0895.76046
[98] Fujisawa, Parallel computing of high-speed compressible flows using a node-based finite element method, International Journal for Numerical Methods in Fluids 58 pp 481– (2003) · Zbl 1032.76594
[99] Tezduyar, Finite elements in fluids: special methods and enhanced solution techniques, Computers and Fluids 36 pp 207– (2007) · Zbl 1177.76203
[100] Johan, A case study in parallel computation: Viscous flow around an Onera M6 wing, International Journal for Numerical Methods in Fluids 21 pp 877– (1995) · Zbl 0875.76256
[101] Tezduyar, Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations, Computers and Structures 35 pp 445– (1990) · Zbl 0719.76051
[102] Tezduyar, Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements, Computer Methods in Applied Mechanics and Engineering 87 pp 363– (1991) · Zbl 0760.76052
[103] Taylor, Finite element modeling of three-dimensional pulsatile flow in the abdominal aorta: relevance to atherosclerosis, Annals of Biomedical Engineering 158 pp 975– (1998)
[104] Green, A derivation of equations for wave propagation in water of variable depth, Journal of Fluid Mechanics 78 pp 237– (1976) · Zbl 0351.76014
[105] McPhail T Warren J An interactive editor for deforming volumetric data 137 144
[106] Huang, The impact of calcification on the biomechanical stability of atherosclerotic plaques, Circulation 103 pp 1051– (2001)
[107] Womersley, Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known, Journal of Physiology 127 pp 553– (1955)
[108] Frank, Die grundform des arteriellen pulses, Zeitung fur Biologie 37 pp 483– (1899)
[109] Tezduyar, Marine 2009 (2009)
[110] Tezduyar, Marine 2009 (2009)
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.