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Volumn 47, Issue 1, 2013, Pages 77-94

Partitioned solution of an unsteady adjoint for strongly coupled fluid-structure interactions and application to parameter identification of a one-dimensional problem

Author keywords

Adjoint; Coupled; Fluid structure interaction; Partitioned; Quasi Newton

Indexed keywords

ADJOINT EQUATIONS; ADJOINT PROBLEMS; ADJOINTS; ARTERIAL WALL; COMPUTATIONAL COSTS; COUPLED; COUPLING ITERATION; FINITE DIFFERENCE; FLOW EQUATIONS; GRADIENT-BASED METHOD; NON-INVASIVE IMAGING; ONE-DIMENSIONAL PROBLEM; OPTIMISATIONS; PARTITIONED; QUASI-NEWTON; STRONG INTERACTION; STRUCTURAL EQUATIONS; UNSTEADY FLUID-STRUCTURE INTERACTIONS;

EID: 84871971619     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-012-0808-2     Document Type: Article
Times cited : (27)

References (54)
  • 1
    • 33645473931 scopus 로고    scopus 로고
    • Discrete direct and adjoint sensitivity analysis for arbitrary Mach number flows
    • 2224481 10.1002/nme.1558
    • Balasubramanian R, Newman J (2006) Discrete direct and adjoint sensitivity analysis for arbitrary Mach number flows. Int J Numer Methods Eng 66(2):297
    • (2006) Int J Numer Methods Eng , vol.66 , Issue.2 , pp. 297
    • Balasubramanian, R.1    Newman, J.2
  • 2
    • 84859427471 scopus 로고    scopus 로고
    • Sequential parameter estimation for fluid-structure problems. Application to hemodynamics
    • 10.1002/cnm.1476 2911313 10.1002/cnm.1476
    • Bertoglio C, Moireau P, Gerbeau JF (2012) Sequential parameter estimation for fluid-structure problems. Application to hemodynamics. Int J Numer Methods Biomed Eng 28:434-455. doi: 10.1002/cnm.1476
    • (2012) Int J Numer Methods Biomed Eng , vol.28 , pp. 434-455
    • Bertoglio, C.1    Moireau, P.2    Gerbeau, J.F.3
  • 3
    • 17444412719 scopus 로고    scopus 로고
    • Inverse problems in elasticity
    • DOI 10.1088/0266-5611/21/2/R01
    • Bonnet M, Constantinescu A (2005) Inverse problems in elasticity. Inverse Probl 21(2):R1 (Pubitemid 40540972)
    • (2005) Inverse Problems , vol.21 , Issue.2
    • Bonne, M.1    Constantinescu, A.2
  • 4
    • 23244467309 scopus 로고    scopus 로고
    • Added-mass effect in the design of partitioned algorithms for fluid-structure problems
    • DOI 10.1016/j.cma.2004.12.005, PII S0045782504005328
    • Causin P, Gerbeau JF, Nobile F (2005) Added-mass effect in the design of partitioned algorithms for fluid-structure problems. Comput Methods Appl Mech Eng 194(42-44):4506 (Pubitemid 41093701)
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.42-44 , pp. 4506-4527
    • Causin, P.1    Gerbeau, J.F.2    Nobile, F.3
  • 5
    • 0007653595 scopus 로고
    • The shear coefficient in Timoshenko's beam theory
    • 10.1115/1.3625046
    • Cowper G (1966) The shear coefficient in Timoshenko's beam theory. J Appl Mech 33(2):335
    • (1966) J Appl Mech , vol.33 , Issue.2 , pp. 335
    • Cowper, G.1
  • 6
    • 54849408157 scopus 로고    scopus 로고
    • Stability of a coupling technique for partitioned solvers in FSI applications
    • 10.1016/j.compstruc.2008.05.005
    • Degroote J, Bruggeman P, Haelterman R, Vierendeels J (2008) Stability of a coupling technique for partitioned solvers in FSI applications. Comput Struct 86(23-24):2224
    • (2008) Comput Struct , vol.86 , Issue.23-24 , pp. 2224
    • Degroote, J.1    Bruggeman, P.2    Haelterman, R.3    Vierendeels, J.4
  • 7
    • 67349096693 scopus 로고    scopus 로고
    • Partitioned simulation of the interaction between an elastic structure and free surface flow
    • 10.1016/j.compstruc.2008.11.013
    • Degroote J, Bathe KJ, Vierendeels J (2009) Partitioned simulation of the interaction between an elastic structure and free surface flow. Comput Struct 87(11-12):793
    • (2009) Comput Struct , vol.87 , Issue.11-12 , pp. 793
    • Degroote, J.1    Bathe, K.J.2    Vierendeels, J.3
  • 8
    • 75749124558 scopus 로고    scopus 로고
    • Stability analysis of Gauss-Seidel iterations in a partitioned simulation of fluid-structure interaction
    • 10.1016/j.compstruc.2009.09.003
    • Degroote J, Annerel S, Vierendeels J (2010a) Stability analysis of Gauss-Seidel iterations in a partitioned simulation of fluid-structure interaction. Comput Struct 88(5-6):263
    • (2010) Comput Struct , vol.88 , Issue.5-6 , pp. 263
    • Degroote, J.1    Annerel, S.2    Vierendeels, J.3
  • 9
    • 77049093911 scopus 로고    scopus 로고
    • Performance of partitioned procedures in fluid-structure interaction
    • 10.1016/j.compstruc.2009.12.006
    • Degroote J, Haelterman R, Annerel S, Bruggeman P, Vierendeels J (2010b) Performance of partitioned procedures in fluid-structure interaction. Comput Struct 88(7-8):446
    • (2010) Comput Struct , vol.88 , Issue.7-8 , pp. 446
    • Degroote, J.1    Haelterman, R.2    Annerel, S.3    Bruggeman, P.4    Vierendeels, J.5
  • 11
    • 32044458550 scopus 로고    scopus 로고
    • Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity
    • DOI 10.1016/j.cma.2004.11.031, PII S0045782505001945, Fluid-Structure Interaction
    • Farhat C, van der Zee K, Geuzaine P (2006) Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity. Comput Methods Appl Mech Eng 195(17-18):1973 (Pubitemid 43193530)
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.17-18 , pp. 1973-2001
    • Farhat, C.1    Van Der Zee, K.G.2    Geuzaine, P.3
  • 15
    • 85003575643 scopus 로고    scopus 로고
    • MegaDesign and MegaOpt - German initiatives for aerodynamic simulation and optimization in aircraft design, results of the closing symposium of the MegaDesign and MegaOpt projects, Braunschweig, Germany, 23-24 May 2007. Adjoint methods for coupled CFD-CSM optimization
    • Springer, Berlin
    • Gauger N, Fazzolari A (2009) MegaDesign and MegaOpt - German initiatives for aerodynamic simulation and optimization in aircraft design, results of the closing symposium of the MegaDesign and MegaOpt projects, Braunschweig, Germany, 23-24 May 2007. Adjoint methods for coupled CFD-CSM optimization. In: Notes on numerical fluid mechanics and multidisciplinary design, vol 107. Springer, Berlin, pp 237-246
    • (2009) Notes on Numerical Fluid Mechanics and Multidisciplinary Design , vol.107 , pp. 237-246
    • Gauger, N.1    Fazzolari, A.2
  • 16
    • 78751615412 scopus 로고    scopus 로고
    • Truly monolithic algebraic multigrid for fluid-structure interaction
    • 10.1002/nme.3001
    • Gee M, Küttler U, Wall W (2011) Truly monolithic algebraic multigrid for fluid-structure interaction. Int J Numer Methods Eng 85(8):987
    • (2011) Int J Numer Methods Eng , vol.85 , Issue.8 , pp. 987
    • Gee, M.1    Küttler, U.2    Wall, W.3
  • 17
    • 0345223477 scopus 로고    scopus 로고
    • A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows
    • DOI 10.1051/m2an:2003049
    • Gerbeau JF, Vidrascu M (2003) A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. ESAIM: Math Model Numer Anal 37(4):631 (Pubitemid 37513128)
    • (2003) Mathematical Modelling and Numerical Analysis , vol.37 , Issue.4 , pp. 631-647
    • Gerbeau, J.-F.1    Vidrascu, M.2
  • 20
    • 0010666451 scopus 로고    scopus 로고
    • Algorithm 799: Revolve: An implementation of checkpointing for the reverse or adjoint mode of computational differtiation
    • 10.1145/347837.347846
    • Griewank A, Walther A (2000) Algorithm 799: revolve: an implementation of checkpointing for the reverse or adjoint mode of computational differtiation. ACM Trans Math Softw 26(1):19
    • (2000) ACM Trans Math Softw , vol.26 , Issue.1 , pp. 19
    • Griewank, A.1    Walther, A.2
  • 21
    • 77049089518 scopus 로고    scopus 로고
    • Analytical study of the least squares quasi-Newton method for interaction problems
    • 2519606 10.1137/070710469
    • Haelterman R, Degroote J, Van Heule D, Vierendeels J (2009) Analytical study of the least squares quasi-Newton method for interaction problems. SIAM J Numer Anal 47(3):2347
    • (2009) SIAM J Numer Anal , vol.47 , Issue.3 , pp. 2347
    • Haelterman, R.1    Degroote, J.2    Van Heule, D.3    Vierendeels, J.4
  • 22
    • 78651581088 scopus 로고    scopus 로고
    • On the similarities between the quasi-Newton inverse least squares method and GMRes
    • 2595053 10.1137/090750354
    • Haelterman R, Degroote J, Van Heule D, Vierendeels J (2010) On the similarities between the quasi-Newton inverse least squares method and GMRes. SIAM J Numer Anal 47(6):4660
    • (2010) SIAM J Numer Anal , vol.47 , Issue.6 , pp. 4660
    • Haelterman, R.1    Degroote, J.2    Van Heule, D.3    Vierendeels, J.4
  • 23
    • 0347516603 scopus 로고    scopus 로고
    • An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems
    • DOI 10.1016/j.cma.2003.09.006
    • Heil M (2004) An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems. Comput Methods Appl Mech Eng 193(1-2):1 (Pubitemid 38013269)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.1-2 , pp. 1-23
    • Heil, M.1
  • 24
    • 78651524393 scopus 로고    scopus 로고
    • Fluid-structure interaction in the context of shape optimization and computational wind engineering
    • H.J. Bungartz M. Mehl M. Schäfer (eds) Lecture notes in computational science and engineering Springer Berlin
    • Hojjat M, Stavropoulou E, Gallinger T, Israel U, Wüchner R, Bletzinger KU (2010) Fluid-structure interaction in the context of shape optimization and computational wind engineering. In: Bungartz HJ, Mehl M, SchäferM (eds) Fluid-structure interaction II: modelling, simulation, optimization. Lecture notes in computational science and engineering. Springer, Berlin, pp 351-381
    • (2010) Fluid-structure Interaction II: Modelling, Simulation, Optimization , pp. 351-381
    • Hojjat, M.1    Stavropoulou, E.2    Gallinger, T.3    Israel, U.4    Wüchner, R.5    Bletzinger, K.U.6
  • 25
    • 16544385265 scopus 로고    scopus 로고
    • A monolithic approach to fluid-structure interaction using space-time finite elements
    • DOI 10.1016/j.cma.2004.01.024, PII S0045782504000696
    • Hübner B, Walhorn E, Dinkler D (2004) A monolithic approach to fluid-structure interaction using space-time finite elements. Comput Methods Appl Mech Eng 193(23-26):2087 (Pubitemid 38503349)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.23-26 , pp. 2087-2104
    • Hubner, B.1    Walhorn, E.2    Dinkler, D.3
  • 26
    • 79958141488 scopus 로고    scopus 로고
    • A Timoshenko beam theory with pressure corrections for layered orthotropic beams
    • 10.1016/j.ijsolstr.2011.04.009
    • Kennedy G, Hansen J, Martins J (2011) A Timoshenko beam theory with pressure corrections for layered orthotropic beams. Int J Solids Struct 48(16-17):2373
    • (2011) Int J Solids Struct , vol.48 , Issue.16-17 , pp. 2373
    • Kennedy, G.1    Hansen, J.2    Martins, J.3
  • 27
    • 26444479778 scopus 로고
    • Optimization by simulated annealing
    • 702485 10.1126/science.220.4598.671
    • Kirkpatrick S, Gelatt C, Vecchi M (1983) Optimization by simulated annealing. Science 220(4598):671
    • (1983) Science , vol.220 , Issue.4598 , pp. 671
    • Kirkpatrick, S.1    Gelatt, C.2    Vecchi, M.3
  • 28
    • 52549092699 scopus 로고    scopus 로고
    • Fixed-point fluid-structure interaction solvers with dynamic relaxation
    • 10.1007/s00466-008-0255-5
    • Küttler U, Wall W (2008) Fixed-point fluid-structure interaction solvers with dynamic relaxation. Comput Mech 43(1):61
    • (2008) Comput Mech , vol.43 , Issue.1 , pp. 61
    • Küttler, U.1    Wall, W.2
  • 29
    • 0033881499 scopus 로고    scopus 로고
    • An inverse technique to deduce the elasticity of a large artery
    • 10.1051/epjap:2000213
    • Lagrée PY (2000) An inverse technique to deduce the elasticity of a large artery. Eur Phys J Appl Phys 9(2):153
    • (2000) Eur Phys J Appl Phys , vol.9 , Issue.2 , pp. 153
    • Lagrée, P.Y.1
  • 30
    • 33846115710 scopus 로고    scopus 로고
    • A finite difference scheme for solving the Timoshenko beam equations with boundary feedback
    • DOI 10.1016/j.cam.2006.01.018, PII S0377042706000392
    • Li F, Sun Z (2007) A finite difference scheme for solving the Timoshenko beam equations with boundary feedback. J Comput Appl Math 200(2):606 (Pubitemid 46073476)
    • (2007) Journal of Computational and Applied Mathematics , vol.200 , Issue.2 , pp. 606-627
    • Li, F.-l.1    Sun, Z.-z.2
  • 31
    • 55349127943 scopus 로고    scopus 로고
    • Parameter identification for a one-dimensional blood flow model
    • Martin V, Clément F, Decoene A, Gerbeau JF (2005) Parameter identification for a one-dimensional blood flow model. ESAIM: Proc 14:174
    • (2005) ESAIM: Proc , vol.14 , pp. 174
    • Martin, V.1    Clément, F.2    Decoene, A.3    Gerbeau, J.F.4
  • 32
    • 3042788311 scopus 로고    scopus 로고
    • High-fidelity aerostructural design optimization of a supersonic business jet
    • 10.2514/1.11478
    • Martins J, Alonso J, Reuther J (2004) High-fidelity aerostructural design optimization of a supersonic business jet. J Aircr 41(3):523
    • (2004) J Aircr , vol.41 , Issue.3 , pp. 523
    • Martins, J.1    Alonso, J.2    Reuther, J.3
  • 33
    • 27444447635 scopus 로고    scopus 로고
    • A coupled-adjoint sensitivity analysis method for high-fidelity aero-structural design
    • DOI 10.1023/B:OPTE.0000048536.47956.62
    • Martins J, Alonso J, Reuther J (2005) A coupled-adjoint sensitivity analysis method for high-fidelity aero-structural design. Optim Eng 6(1):33 (Pubitemid 41529601)
    • (2005) Optimization and Engineering , vol.6 , Issue.1 , pp. 33-62
    • Martins, J.R.R.A.1    Alonso, J.J.2    Reuther, J.J.3
  • 34
    • 0035506525 scopus 로고    scopus 로고
    • Coupled analytical sensitivity analysis and optimization of three-dimensional nonlinear aeroelastic systems
    • 10.2514/2.1227
    • Maute K, Nikbay M, Farhat C (2001) Coupled analytical sensitivity analysis and optimization of three-dimensional nonlinear aeroelastic systems. Am Inst Aeron Astron J 39(11):2051
    • (2001) Am Inst Aeron Astron J , vol.39 , Issue.11 , pp. 2051
    • Maute, K.1    Nikbay, M.2    Farhat, C.3
  • 35
    • 0037436191 scopus 로고    scopus 로고
    • Sensitivity analysis and design optimization of three-dimensional non-linear aeroelastic systems by the adjoint method
    • DOI 10.1002/nme.599
    • Maute K, Nikbay M, Farhat C (2003) Sensitivity analysis and design optimization of three-dimensional nonlinear aeroelastic systems by the adjoint method. Int J Numer Methods Eng 56(6):911 (Pubitemid 36225766)
    • (2003) International Journal for Numerical Methods in Engineering , vol.56 , Issue.6 , pp. 911-933
    • Maute, K.1    Nikbay, M.2    Farhat, C.3
  • 36
    • 0345216595 scopus 로고    scopus 로고
    • Accelerated iterative substructuring schemes for instationary fluid-structure interaction
    • K.J. Bathe (eds) Elsevier Amsterdam 10.1016/B978-008043944-0/50907-0
    • Mok D, Wall W, Ramm E (2001) Accelerated iterative substructuring schemes for instationary fluid-structure interaction. In: KJ Bathe (ed) Computational fluid and solid mechanics. Elsevier, Amsterdam, pp 1325-1328
    • (2001) Computational Fluid and Solid Mechanics , pp. 1325-1328
    • Mok, D.1    Wall, W.2    Ramm, E.3
  • 37
    • 16244394526 scopus 로고    scopus 로고
    • An interface Newton-Krylov solver for fluid-structure interaction
    • DOI 10.1002/fld.850, 8th ICFD Conference on Numerical Methods for Fluid Dynamics: Part 2
    • Michler C, van Brummelen E, de Borst R (2005) An interface Newton-Krylov solver for fluid-structure interaction. Int J Numer Methods Fluids 47(10-11):1189 (Pubitemid 40464883)
    • (2005) International Journal for Numerical Methods in Fluids , vol.47 , Issue.10-11 , pp. 1189-1195
    • Michler, C.1    Van Brummelen, E.H.2    De Borst, R.3
  • 42
    • 40949145316 scopus 로고    scopus 로고
    • Direct, adjoint and mixed approaches for the computation of Hessian in airfoil design problems
    • DOI 10.1002/fld.1584
    • Papadimitriou D, Giannakoglou K (2008) Direct, adjoint and mixed approaches for the computation of Hessian in airfoil design problems. Int J Numer Methods Fluids 56(10):1929 (Pubitemid 351411441)
    • (2008) International Journal for Numerical Methods in Fluids , vol.56 , Issue.10 , pp. 1929-1943
    • Papadimitriou, D.I.1    Giannakoglou, K.C.2
  • 43
    • 84902343352 scopus 로고    scopus 로고
    • Computational vascular fluid dynamics: Problems, models and methods
    • 10.1007/s007910050039
    • Quarteroni A, Tuveri M, Veneziani A (2000) Computational vascular fluid dynamics: problems, models and methods. Comput Visual Sci 2(4):163
    • (2000) Comput Visual Sci , vol.2 , Issue.4 , pp. 163
    • Quarteroni, A.1    Tuveri, M.2    Veneziani, A.3
  • 44
    • 77949422914 scopus 로고    scopus 로고
    • The optimal control of unsteady flows with a discrete adjoint method
    • 2601730 10.1007/s11081-008-9035-5
    • Rumpfkeil M, Zingg D (2010) The optimal control of unsteady flows with a discrete adjoint method. Optim Eng 11(1):5
    • (2010) Optim Eng , vol.11 , Issue.1 , pp. 5
    • Rumpfkeil, M.1    Zingg, D.2
  • 45
    • 77953841560 scopus 로고    scopus 로고
    • Reduction of storage requirement by checkpointing for time-dependent optimal control problems in ODEs
    • Lecture notes in computational science and engineering, vol 50 Springer Berlin 10.1007/3-540-28438-9-9
    • Sternberg J, Griewank A (2006) Reduction of storage requirement by checkpointing for time-dependent optimal control problems in ODEs. In: Automatic differentiation: applications, theory, and implementations. Lecture notes in computational science and engineering, vol 50. Springer, Berlin, pp 99-110
    • (2006) Automatic Differentiation: Applications, Theory, and Implementations , pp. 99-110
    • Sternberg, J.1    Griewank, A.2
  • 46
    • 77956576456 scopus 로고    scopus 로고
    • Adjoint-based design of shock mitigation devices
    • 10.1002/fld.2164
    • Stück A, Camelli F, Löhner R (2010a) Adjoint-based design of shock mitigation devices. Int J Numer Methods Fluids 64(4):443
    • (2010) Int J Numer Methods Fluids , vol.64 , Issue.4 , pp. 443
    • Stück, A.1    Camelli, F.2    Löhner, R.3
  • 48
    • 65849301564 scopus 로고    scopus 로고
    • Added mass effects of compressible and incompressible flows in fluid-structure interaction
    • 10.1115/1.3059565
    • van Brummelen E (2009) Added mass effects of compressible and incompressible flows in fluid-structure interaction. J Appl Mech 76(2):021206
    • (2009) J Appl Mech , vol.76 , Issue.2 , pp. 21206
    • Van Brummelen, E.1
  • 49
    • 78650392733 scopus 로고    scopus 로고
    • Partitioned iterative solution methods for fluid-structure interaction
    • 10.1002/fld.2465
    • van Brummelen E (2011) Partitioned iterative solution methods for fluid-structure interaction. Int J Numer Methods Fluids 65(1-3):3
    • (2011) Int J Numer Methods Fluids , vol.65 , Issue.1-3 , pp. 3
    • Van Brummelen, E.1
  • 50
    • 0001349565 scopus 로고    scopus 로고
    • A multigrid semi-implicit line-method for viscous incompressible and low-Mach-number flows on high aspect ratio grids
    • 10.1006/jcph.1999.6315
    • Vierendeels J, Riemslagh K, Dick E (1999) A multigrid semi-implicit line-method for viscous incompressible and low-Mach-number flows on high aspect ratio grids. J Comput Phys 154(2):310
    • (1999) J Comput Phys , vol.154 , Issue.2 , pp. 310
    • Vierendeels, J.1    Riemslagh, K.2    Dick, E.3
  • 51
    • 29544433188 scopus 로고    scopus 로고
    • Analysis and stabilization of fluid-structure interaction algorithm for rigid-body motion
    • 10.2514/1.3660
    • Vierendeels J, Dumont K, Dick E, Verdonck P (2005) Analysis and stabilization of fluid-structure interaction algorithm for rigid-body motion. AIAA J 43(12):2549
    • (2005) AIAA J , vol.43 , Issue.12 , pp. 2549
    • Vierendeels, J.1    Dumont, K.2    Dick, E.3    Verdonck, P.4
  • 52
    • 77955704226 scopus 로고    scopus 로고
    • Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries
    • 10.1080/10255840903413565
    • Vignon-Clementel I, Figueroa C, Jansen K, Taylor C (2010) Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries. Comput Methods Biomech Biomed Eng 13(5):625
    • (2010) Comput Methods Biomech Biomed Eng , vol.13 , Issue.5 , pp. 625
    • Vignon-Clementel, I.1    Figueroa, C.2    Jansen, K.3    Taylor, C.4
  • 53
    • 68149164351 scopus 로고    scopus 로고
    • Minimal repetition dynamic checkpointing algorithm for unsteady adjoint calculation
    • 2520289 10.1137/080727890
    • Wang Q, Moin P, Iaccarino G (2009) Minimal repetition dynamic checkpointing algorithm for unsteady adjoint calculation. SIAM J Sci Comput 31(4):2549
    • (2009) SIAM J Sci Comput , vol.31 , Issue.4 , pp. 2549
    • Wang, Q.1    Moin, P.2    Iaccarino, G.3


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