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Volumn 76, Issue 2, 2009, Pages 021204-

Preconditioning techniques for nonsymmetric linear systems in the computation of incompressible flows

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS;

EID: 77951768450     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3059576     Document Type: Article
Times cited : (43)

References (52)
  • 1
    • 0027684044 scopus 로고
    • Parallel Finite-Element Computation of 3D Flows
    • Tezduyar, T., Aliabadi, S., Behr, M., Johnson, A., and Mittal, S., 1993, "Parallel Finite-Element Computation of 3D Flows," Computer, 26(10), pp. 27-36.
    • (1993) Computer , vol.26 , Issue.10 , pp. 27-36
    • Tezduyar, T.1    Aliabadi, S.2    Behr, M.3    Johnson, A.4    Mittal, S.5
  • 2
    • 0028534247 scopus 로고
    • Massively Parallel Finite Element Simulation of Compressible and Incompressible Flows
    • Tezduyar, T., Aliabadi, S., Behr, M., and Mittal, S., 1994, "Massively Parallel Finite Element Simulation of Compressible and Incompressible Flows," Comput. Methods Appl. Mech. Eng., 119, pp. 157-177.
    • (1994) Comput. Methods Appl. Mech. Eng. , vol.119 , pp. 157-177
    • Tezduyar, T.1    Aliabadi, S.2    Behr, M.3    Mittal, S.4
  • 3
    • 0028372466 scopus 로고
    • Massively Parallel Finite Element Computation of Incompressible Flows Involving Fluid-Body Interactions
    • Mittal, S., and Tezduyar, T., 1994, "Massively Parallel Finite Element Computation of Incompressible Flows Involving Fluid-Body Interactions," Comput. Methods Appl. Mech. Eng., 112, pp. 253-282.
    • (1994) Comput. Methods Appl. Mech. Eng. , vol.112 , pp. 253-282
    • Mittal, S.1    Tezduyar, T.2
  • 4
    • 84984424156 scopus 로고
    • Parallel Finite Element Simulation of 3D Incompressible Flows: Fluid-Structure Interactions
    • Mittal, S., and Tezduyar, T. E., 1995, "Parallel Finite Element Simulation of 3D Incompressible Flows: Fluid-Structure Interactions," Int. J. Numer. Methods Fluids, 21, pp. 933-953.
    • (1995) Int. J. Numer. Methods Fluids , vol.21 , pp. 933-953
    • Mittal, S.1    Tezduyar, T.E.2
  • 5
    • 0032666655 scopus 로고    scopus 로고
    • Advanced Mesh Generation and Update Methods for 3D Flow Simulations
    • Johnson, A., and Tezduyar, T., 1999, "Advanced Mesh Generation and Update Methods for 3D Flow Simulations," Comput. Mech., 23, pp. 130-143.
    • (1999) Comput. Mech. , vol.23 , pp. 130-143
    • Johnson, A.1    Tezduyar, T.2
  • 6
    • 0034287406 scopus 로고    scopus 로고
    • A Parallel 3D Computational Method for Fluid-Structure Interactions in Parachute Systems
    • Kalro, V., and Tezduyar, T. E., 2000, "A Parallel 3D Computational Method for Fluid-Structure Interactions in Parachute Systems," Comput. Methods Appl. Mech. Eng., 190, pp. 321-332.
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 321-332
    • Kalro, V.1    Tezduyar, T.E.2
  • 8
    • 0035824699 scopus 로고    scopus 로고
    • Fluid-Structure Interactions of a Parachute Crossing the Far Wake of an Aircraft
    • Tezduyar, T., and Osawa, Y., 2001, "Fluid-Structure Interactions of a Parachute Crossing the Far Wake of an Aircraft," Comput. Methods Appl. Mech. Eng., 191, pp. 717-726.
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 717-726
    • Tezduyar, T.1    Osawa, Y.2
  • 9
    • 0035793722 scopus 로고    scopus 로고
    • Reduced Symmetric Models for Modal Analysis of Internal Structural-Acoustic and Hydroelastic-Sloshing Systems
    • Ohayon, R., 2001, "Reduced Symmetric Models for Modal Analysis of Internal Structural-Acoustic and Hydroelastic-Sloshing Systems," Comput. Methods Appl. Mech. Eng., 190, pp. 3009-3019.
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 3009-3019
    • Ohayon, R.1
  • 10
    • 84920254344 scopus 로고    scopus 로고
    • Space-time techniques for finite element computation of flows with moving boundaries and interfaces
    • S. Gallegos, I. Herrera, S. Botello, F. Zarate, and G. Ayala, eds., Monterrey, Mexico, CD-ROM
    • Tezduyar, T., Sathe, S., Keedy, R., and Stein, K., 2004, "Space-time techniques for finite element computation of flows with moving boundaries and interfaces," Proceedings of the Third International Congress on Numerical Methods in Engineering and Applied Science, S. Gallegos, I. Herrera, S. Botello, F. Zarate, and G. Ayala, eds., Monterrey, Mexico, CD-ROM.
    • (2004) Proceedings of the Third International Congress on Numerical Methods in Engineering and Applied Science
    • Tezduyar, T.1    Sathe, S.2    Keedy, R.3    Stein, K.4
  • 12
    • 33644956691 scopus 로고    scopus 로고
    • On the Nonnormality of Subiteration for a Fluid-Structure Interaction Problem
    • van Brummelen, E., and de Borst, R., 2005, "On the Nonnormality of Subiteration for a Fluid-Structure Interaction Problem," SIAM J. Sci. Comput. (USA), 27, pp. 599-621.
    • (2005) SIAM J. Sci. Comput. (USA) , vol.27 , pp. 599-621
    • van Brummelen, E.1    de Borst, R.2
  • 13
    • 16244394526 scopus 로고    scopus 로고
    • An Interface Newton-Krylov Solver for Fluid-Structure Interaction
    • Michler, C., van Brummelen, E., and de Borst, R., 2005, "An Interface Newton-Krylov Solver for Fluid-Structure Interaction," Int. J. Numer. Methods Fluids, 47, pp. 1189-1195.
    • (2005) Int. J. Numer. Methods Fluids , vol.47 , pp. 1189-1195
    • Michler, C.1    van Brummelen, E.2    de Borst, R.3
  • 14
    • 18844458168 scopus 로고    scopus 로고
    • Fluid-Structure Interaction in Blood Flow on Geometries Based on Medical Images
    • Gerbeau, J.-F., Vidrascu, M., and Frey, P., 2005, "Fluid-Structure Interaction in Blood Flow on Geometries Based on Medical Images," Comput. Struct., 83, pp. 155-165.
    • (2005) Comput. Struct. , vol.83 , pp. 155-165
    • Gerbeau, J.-F.1    Vidrascu, M.2    Frey, P.3
  • 15
    • 32044445726 scopus 로고    scopus 로고
    • Space-Time Finite Element Techniques for Computation of Fluid-Structure Interactions
    • Tezduyar, T., Sathe, S., Keedy, R., and Stein, K., 2006, "Space-Time Finite Element Techniques for Computation of Fluid-Structure Interactions," Comput. Methods Appl. Mech. Eng., 195, pp. 2002-2027.
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 2002-2027
    • Tezduyar, T.1    Sathe, S.2    Keedy, R.3    Stein, K.4
  • 16
    • 33745390125 scopus 로고    scopus 로고
    • Solution Techniques for the Fully-Discretized Equations in Computation of Fluid-Structure Interactions With the Space-Time Formulations
    • Tezduyar, T., Sathe, S., and Stein, K., 2006, "Solution Techniques for the Fully-Discretized Equations in Computation of Fluid-Structure Interactions With the Space-Time Formulations," Comput. Methods Appl. Mech. Eng., 195, pp. 5743-5753.
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 5743-5753
    • Tezduyar, T.1    Sathe, S.2    Stein, K.3
  • 17
    • 30944446436 scopus 로고    scopus 로고
    • Computer Modeling of Cardiovascular Fluid-Structure Interactions With the Deforming-Spatial-Domain/Stabilized Space-Time Formulation
    • Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T., 2006, "Computer Modeling of Cardiovascular Fluid-Structure Interactions With the Deforming-Spatial-Domain/Stabilized Space-Time Formulation," Comput. Methods Appl. Mech. Eng., 195, pp. 1885-1895.
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 1885-1895
    • Torii, R.1    Oshima, M.2    Kobayashi, T.3    Takagi, K.4    Tezduyar, T.5
  • 19
    • 33745641067 scopus 로고    scopus 로고
    • Fluid-Structure Interaction Modeling of Aneurysmal Conditions With High and Normal Blood Pressures
    • Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T., 2006, "Fluid-Structure Interaction Modeling of Aneurysmal Conditions With High and Normal Blood Pressures," Comput. Mech., 38, pp. 482-490.
    • (2006) Comput. Mech. , vol.38 , pp. 482-490
    • Torii, R.1    Oshima, M.2    Kobayashi, T.3    Takagi, K.4    Tezduyar, T.5
  • 20
    • 33745389585 scopus 로고    scopus 로고
    • A Computational Framework for Fluid-Structure Interaction: Finite Element Formulation and Applications
    • Dettmer, W., and Peric, D., 2006, "A Computational Framework for Fluid-Structure Interaction: Finite Element Formulation and Applications," Comput. Methods Appl. Mech. Eng., 195, pp. 5754-5779.
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 5754-5779
    • Dettmer, W.1    Peric, D.2
  • 21
    • 33745677813 scopus 로고    scopus 로고
    • Isogeometric Fluid-Structure Interaction Analysis With Applications to Arterial Blood Flow
    • Bazilevs, Y., Calo, V., Huhes, T., and Zhang, Y., 2006, "Isogeometric Fluid-Structure Interaction Analysis With Applications to Arterial Blood Flow," Comput. Mech., 38, pp. 310-322.
    • (2006) Comput. Mech. , vol.38 , pp. 310-322
    • Bazilevs, Y.1    Calo, V.2    Huhes, T.3    Zhang, Y.4
  • 22
    • 33745648512 scopus 로고    scopus 로고
    • A Multiscale/Stabilized Formulation of the Incompressible Navier-Stokes Equations for Moving Boundary Flows and Fluid-Structure Interaction
    • Khurram, R., and Masud, A., 2006, "A Multiscale/Stabilized Formulation of the Incompressible Navier-Stokes Equations for Moving Boundary Flows and Fluid-Structure Interaction," Comput. Mech., 38, pp. 403-416.
    • (2006) Comput. Mech. , vol.38 , pp. 403-416
    • Khurram, R.1    Masud, A.2
  • 23
    • 33745652455 scopus 로고    scopus 로고
    • A Solution for the Incompressibility Dilemma in Partitioned Fluid-Structure Interaction With Pure Dirichlet Fluid Domains
    • Kuttler, U., Forster, C., and Wall, W., 2006, "A Solution for the Incompressibility Dilemma in Partitioned Fluid-Structure Interaction With Pure Dirichlet Fluid Domains," Comput. Mech., 38, pp. 417-429.
    • (2006) Comput. Mech. , vol.38 , pp. 417-429
    • Kuttler, U.1    Forster, C.2    Wall, W.3
  • 24
    • 84880477697 scopus 로고    scopus 로고
    • Extending the Range of Applicability of the Loose Coupling Approach for FSI Simulations
    • (Lecture Notes in Computational Science and Engineering), H.-J. Bungartz and M. Schafer, eds., Springer, New York
    • Lohner, R., Cebral, J., Yang, C., Baum, J., Mestreau, E. L., and Soto, O., 2006, "Extending the Range of Applicability of the Loose Coupling Approach for FSI Simulations," Fluid-Structure Interaction (Lecture Notes in Computational Science and Engineering), H.-J. Bungartz and M. Schafer, eds., Springer, New York, Vol. 53, pp. 82-100.
    • (2006) Fluid-Structure Interaction , vol.53 , pp. 82-100
    • Lohner, R.1    Cebral, J.2    Yang, C.3    Baum, J.4    Mestreau, E.L.5    Soto, O.6
  • 25
    • 84880494244 scopus 로고    scopus 로고
    • Algorithmic Treatment of Shells and Free Form-Membranes in FSI
    • (Lecture Notes in Computational Science and Engineering), H.-J. Bungartz and M. Schafer, eds., Springer, New York
    • Bletzinger, K.-U., Wuchner, R., and Kupzok, A., 2006, "Algorithmic Treatment of Shells and Free Form-Membranes in FSI," Fluid-Structure Interaction (Lecture Notes in Computational Science and Engineering), H.-J. Bungartz and M. Schafer, eds., Springer, New York, Vol. 53, pp. 336-355.
    • (2006) Fluid-Structure Interaction , vol.53 , pp. 336-355
    • Bletzinger, K.-U.1    Wuchner, R.2    Kupzok, A.3
  • 26
    • 33750364705 scopus 로고    scopus 로고
    • Influence of Wall Elasticity in Patient-Specific Hemodynamic Simulations
    • Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T., 2007, "Influence of Wall Elasticity in Patient-Specific Hemodynamic Simulations," Comput. Fluids, 36, pp. 160-168.
    • (2007) Comput. Fluids , vol.36 , pp. 160-168
    • Torii, R.1    Oshima, M.2    Kobayashi, T.3    Takagi, K.4    Tezduyar, T.5
  • 27
    • 33750979033 scopus 로고    scopus 로고
    • An Adaptive Mesh Rezoning Scheme for Moving Boundary Flows and Fluid-Structure Interaction
    • Masud, A., Bhanabhagvanwala, M., and Khurram, R., 2007, "An Adaptive Mesh Rezoning Scheme for Moving Boundary Flows and Fluid-Structure Interaction," Comput. Fluids, 36, pp. 77-91.
    • (2007) Comput. Fluids , vol.36 , pp. 77-91
    • Masud, A.1    Bhanabhagvanwala, M.2    Khurram, R.3
  • 28
    • 33750322719 scopus 로고    scopus 로고
    • Fuid-Structure Interaction Analysis of the Two Dimensional Flag-in-Wind Problem by an Interface Tracking ALE Finite Element Method
    • Sawada, T., and Hisada, T., 2007, "Fuid-Structure Interaction Analysis of the Two Dimensional Flag-in-Wind Problem by an Interface Tracking ALE Finite Element Method," Comput. Fluids, 36, pp. 136-146.
    • (2007) Comput. Fluids , vol.36 , pp. 136-146
    • Sawada, T.1    Hisada, T.2
  • 29
    • 33750291166 scopus 로고    scopus 로고
    • A Strong Coupling Partitioned Approach for Fluid-Structure Interaction With Free Surfaces
    • Wall, W., Genkinger, S., and Ramm, E., 2007, "A Strong Coupling Partitioned Approach for Fluid-Structure Interaction With Free Surfaces," Comput. Fluids, 36, pp. 169-183.
    • (2007) Comput. Fluids , vol.36 , pp. 169-183
    • Wall, W.1    Genkinger, S.2    Ramm, E.3
  • 30
    • 34347326942 scopus 로고    scopus 로고
    • Modeling of Fluid-Structure Interactions With the Space-Time Finite Elements: Solution Techniques
    • Tezduyar, T., and Sathe, S., 2007, "Modeling of Fluid-Structure Interactions With the Space-Time Finite Elements: Solution Techniques," Int. J. Numer. Methods Fluids, 54, pp. 855-900.
    • (2007) Int. J. Numer. Methods Fluids , vol.54 , pp. 855-900
    • Tezduyar, T.1    Sathe, S.2
  • 32
    • 34347355219 scopus 로고    scopus 로고
    • Numerical Investigation of the Effect of Hypertensive Blood Pressure on Cerebral Aneurysm - Dependence of the Effect on the Aneurysm Shape
    • Torii, R., Oshima, M., Kobayashi, T., Takagi, K., and Tezduyar, T., 2007, "Numerical Investigation of the Effect of Hypertensive Blood Pressure on Cerebral Aneurysm - Dependence of the Effect on the Aneurysm Shape," Int. J. Numer. Methods Fluids, 54, pp. 995-1009.
    • (2007) Int. J. Numer. Methods Fluids , vol.54 , pp. 995-1009
    • Torii, R.1    Oshima, M.2    Kobayashi, T.3    Takagi, K.4    Tezduyar, T.5
  • 33
    • 45849132435 scopus 로고    scopus 로고
    • Arterial Fluid Mechanics Modeling With the Stabilized Space-Time Fluid-Structure Interaction Technique
    • Tezduyar, T., Sathe, S., Schwaab, M., and Conklin, B., 2007, "Arterial Fluid Mechanics Modeling With the Stabilized Space-Time Fluid-Structure Interaction Technique," Int. J. Numer. Methods Fluids, 57(5), pp. 601-629.
    • (2007) Int. J. Numer. Methods Fluids , vol.57 , Issue.5 , pp. 601-629
    • Tezduyar, T.1    Sathe, S.2    Schwaab, M.3    Conklin, B.4
  • 34
    • 52549110792 scopus 로고    scopus 로고
    • Interface Projection Techniques for Fluid-Structure Interaction Modeling With Moving-Mesh Methods
    • Tezduyar, T., Sathe, S., Pausewang, J., Schwaab, M., Christopher, J., and Crabtree, J., 2008, "Interface Projection Techniques for Fluid-Structure Interaction Modeling With Moving-Mesh Methods," Comput. Mech., 43(1), pp. 39-49.
    • (2008) Comput. Mech. , vol.43 , Issue.1 , pp. 39-49
    • Tezduyar, T.1    Sathe, S.2    Pausewang, J.3    Schwaab, M.4    Christopher, J.5    Crabtree, J.6
  • 37
    • 1842788000 scopus 로고    scopus 로고
    • A Nested Iterative Scheme for Indefinite Linear Systems in Particulate Flows
    • Baggag, A., and Sameh, A., 2004, "A Nested Iterative Scheme for Indefinite Linear Systems in Particulate Flows," Comput. Methods Appl. Mech. Eng., 193, pp. 1923-1957.
    • (2004) Comput. Methods Appl. Mech. Eng. , vol.193 , pp. 1923-1957
    • Baggag, A.1    Sameh, A.2
  • 38
    • 14344261846 scopus 로고    scopus 로고
    • Enhanced-Discretization Successive Update Method (EDSUM)
    • Tezduyar, T., and Sathe, S., 2005, "Enhanced-Discretization Successive Update Method (EDSUM)," Int. J. Numer. Methods Fluids, 47, pp. 633-654. http://www.maths.manchester.ac.uk/djs/ifiss/
    • (2005) Int. J. Numer. Methods Fluids , vol.47 , pp. 633-654
    • Tezduyar, T.1    Sathe, S.2
  • 39
    • 77955238984 scopus 로고    scopus 로고
    • http://www.maths.manchester.ac.uk/djs/ifiss/
  • 40
    • 0002211239 scopus 로고    scopus 로고
    • An Iteration for Indefinite Systems and Its Application to the Navier-Stokes Equations
    • Golub, G., and Wathen, A., 1998, "An Iteration for Indefinite Systems and Its Application to the Navier-Stokes Equations," SIAM J. Sci. Comput. (USA), 19, pp. 530-539.
    • (1998) SIAM J. Sci. Comput. (USA) , vol.19 , pp. 530-539
    • Golub, G.1    Wathen, A.2
  • 41
    • 0033279287 scopus 로고    scopus 로고
    • Preconditioning for the Steady-State Navier-Stokes Equations With Low Viscosity
    • Elman, H., 1999, "Preconditioning for the Steady-State Navier-Stokes Equations With Low Viscosity," SIAM J. Sci. Comput. (USA), 20(4), pp. 1299-1316.
    • (1999) SIAM J. Sci. Comput. (USA) , vol.20 , Issue.4 , pp. 1299-1316
    • Elman, H.1
  • 42
    • 0035281553 scopus 로고    scopus 로고
    • Efficient Preconditioning of the Linearized Navier-Stokes Equations for Incompressible Flow
    • Silvester, D., Elman, H., Kay, D., and Wathen, A., 2001, "Efficient Preconditioning of the Linearized Navier-Stokes Equations for Incompressible Flow," J. Comput. Appl. Math., 128, pp. 261-279
    • (2001) J. Comput. Appl. Math. , vol.128 , pp. 261-279
    • Silvester, D.1    Elman, H.2    Kay, D.3    Wathen, A.4
  • 45
    • 1542320104 scopus 로고    scopus 로고
    • A Parallel Solver for PDE Systems and Application to the Incompressible Navier-Stokes Equations
    • Vainikko, E., and Graham, I., 2004, "A Parallel Solver for PDE Systems and Application to the Incompressible Navier-Stokes Equations," Appl. Numer. Math., 49(1), pp. 97-116.
    • (2004) Appl. Numer. Math. , vol.49 , Issue.1 , pp. 97-116
    • Vainikko, E.1    Graham, I.2
  • 46
    • 0000005482 scopus 로고
    • BI-CGSTAB: A Fast and Smoothly Converging Variant of BI-CG for the Solution of Nonsymmetric Linear Systems
    • van der Vorst, H., 1992, "BI-CGSTAB: A Fast and Smoothly Converging Variant of BI-CG for the Solution of Nonsymmetric Linear Systems," SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput., 13(2), pp. 631-644.
    • (1992) SIAM (Soc. Ind. Appl. Math. ) J. Sci. Stat. Comput. , vol.13 , Issue.2 , pp. 631-644
    • van der Vorst, H.1
  • 47
    • 0035450778 scopus 로고    scopus 로고
    • PARDISO: A High-Performance Serial and Parallel Sparse Linear Solver in Semiconductor Device Simulation," FGCS
    • Schenk, O., Gärtner, K., Fichtner, W., and Stricker, A., 2001, "PARDISO: A High-Performance Serial and Parallel Sparse Linear Solver in Semiconductor Device Simulation," FGCS, Future Gener. Comput. Syst., 18(1), pp. 69-78.
    • (2001) Future Gener. Comput. Syst. , vol.18 , Issue.1 , pp. 69-78
    • Schenk, O.1    Gärtner, K.2    Fichtner, W.3    Stricker, A.4
  • 48
    • 84985315720 scopus 로고    scopus 로고
    • Diagonally Compensated Reduction and Related Preconditioning Methods
    • Axelsson, O., and Kolotilina, L., 2005, "Diagonally Compensated Reduction and Related Preconditioning Methods," Numer. Linear Algebra Appl., 1(2), pp. 155-177.
    • (2005) Numer. Linear Algebra Appl. , vol.1 , Issue.2 , pp. 155-177
    • Axelsson, O.1    Kolotilina, L.2
  • 49
    • 0000048673 scopus 로고
    • GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
    • Saad, Y., and Schultz, M., 1986, "GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems," SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput., 7, pp. 856-869.
    • (1986) SIAM (Soc. Ind. Appl. Math. ) J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.2
  • 50
  • 52
    • 52549104060 scopus 로고    scopus 로고
    • A Nested Iterative Scheme for Computation of Incompressible Flows in Long Domains
    • Manguoglu, M., Sameh, A. H., Tezduyar, T. E., and Sathe, S., 2008, "A Nested Iterative Scheme for Computation of Incompressible Flows in Long Domains," Comput. Mech., 43(1), pp. 73-80.
    • (2008) Comput. Mech. , vol.43 , Issue.1 , pp. 73-80
    • Manguoglu, M.1    Sameh, A.H.2    Tezduyar, T.E.3    Sathe, S.4


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