메뉴 건너뛰기




Volumn 154, Issue 3-4, 1998, Pages 203-228

Physics based GMRES preconditioner for compressible and incompressible Navier-Stokes equations

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE FLOW; FINITE ELEMENT METHOD; NAVIER STOKES EQUATIONS; PARALLEL PROCESSING SYSTEMS; REYNOLDS NUMBER;

EID: 0032473210     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00129-1     Document Type: Article
Times cited : (20)

References (37)
  • 2
    • 0027277841 scopus 로고
    • SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations
    • S. Aliabadi, S. Ray and T. Tezduyar, SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations, Comput. Mech. 11 (1993) 300-312.
    • (1993) Comput. Mech. , vol.11 , pp. 300-312
    • Aliabadi, S.1    Ray, S.2    Tezduyar, T.3
  • 3
    • 0027643098 scopus 로고
    • Space-time finite element computation of compressible flows involving moving boundaries and interfaces
    • S. Aliabadi and T. Tezduyar, Space-time finite element computation of compressible flows involving moving boundaries and interfaces, Comput. Methods Appl. Mech. Engrg. 107 (1993) 209-223.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.107 , pp. 209-223
    • Aliabadi, S.1    Tezduyar, T.2
  • 4
    • 0026814330 scopus 로고
    • A Petrov-Galerkin technique for the solution of transonic and supersonic flows
    • C. Baumann, M. Storti and S. Idelsohn, A Petrov-Galerkin technique for the solution of transonic and supersonic flows, Comput. Methods Appl. Mech. Engrg. 95 (1992) 49-70.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.95 , pp. 49-70
    • Baumann, C.1    Storti, M.2    Idelsohn, S.3
  • 5
    • 0027395681 scopus 로고
    • Computation of incompressible flows with implicit finite element implementations on the connection machine
    • M. Behr, A. Johnson, J. Kennedy, S. Mittal and T. Tezduyar, Computation of incompressible flows with implicit finite element implementations on the Connection Machine. Comput. Methods Appl. Mech. Engrg. 108 (1993) 99-118.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.108 , pp. 99-118
    • Behr, M.1    Johnson, A.2    Kennedy, J.3    Mittal, S.4    Tezduyar, T.5
  • 6
    • 0028372424 scopus 로고
    • Finite element solution strategies for large-scale flow simulations
    • M. Behr and T. Tezduyar, Finite element solution strategies for large-scale flow simulations, Comput. Methods Appl. Mech. Engrg. 112 (1994) 3-24.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.112 , pp. 3-24
    • Behr, M.1    Tezduyar, T.2
  • 7
    • 0019607241 scopus 로고
    • Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • A. Brooks and T. Hughes, Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 32 (1982) 199-259.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.32 , pp. 199-259
    • Brooks, A.1    Hughes, T.2
  • 8
    • 28144434245 scopus 로고
    • The application of preconditioning in viscous flows
    • Y. Choi and C. Merkle, The application of preconditioning in viscous flows, J. Comput. Phys. 105 (1993) 207-223.
    • (1993) J. Comput. Phys. , vol.105 , pp. 207-223
    • Choi, Y.1    Merkle, C.2
  • 9
    • 0028468827 scopus 로고
    • Parallelizable block diagonal preconditioned for the compressible Navier-Stokes equations
    • L. Dutto, W. Habashi and M. Fortin, Parallelizable block diagonal preconditioned for the compressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 117 (1994) 15-47.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.117 , pp. 15-47
    • Dutto, L.1    Habashi, W.2    Fortin, M.3
  • 10
    • 0043124533 scopus 로고
    • A unified approach to compressible and incompressible flows
    • F. Navarrina and M. Casteleiro, eds., SEMNI, Barcelona
    • G. Hauke and T. Hughes, A unified approach to compressible and incompressible flows, in: F. Navarrina and M. Casteleiro, eds., Métodos Numéricos en Ingeniería (SEMNI, Barcelona, 1993).
    • (1993) Métodos Numéricos en Ingeniería
    • Hauke, G.1    Hughes, T.2
  • 12
    • 0022807116 scopus 로고
    • A new finite element method for CFD: III. The generalized streamline operator for multidimensional advection-diffusion systems
    • T. Hughes and M. Mallet, A new finite element method for CFD: III. The generalized streamline operator for multidimensional advection-diffusion systems. Comput. Methods Appl. Mech. Engrg. 58 (1986) 305-328.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.58 , pp. 305-328
    • Hughes, T.1    Mallet, M.2
  • 13
    • 0022811673 scopus 로고
    • A new finite element method for CFD: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems
    • T. Hughes and M. Mallet, A new finite element method for CFD: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems. Comput. Methods Appl. Mech. Engrg. 58 (1986) 329-336.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.58 , pp. 329-336
    • Hughes, T.1    Mallet, M.2
  • 14
    • 0028450395 scopus 로고
    • Fast multigrid method for solving incompressible hydrodynamic problems with free surfaces
    • A. Jameson, Fast multigrid method for solving incompressible hydrodynamic problems with free surfaces, AIAA J. 32(6) (1994) 1175-1182.
    • (1994) AIAA J. , vol.32 , Issue.6 , pp. 1175-1182
    • Jameson, A.1
  • 15
    • 0027593720 scopus 로고
    • SUPG finite element computation of compressible flows with the entropy and conservation variables formulations
    • G. Le Beau, S. Ray, S. Aliabadi and T. Tezduyar, SUPG finite element computation of compressible flows with the entropy and conservation variables formulations, Comput. Methods Appl. Mech. Engrg. 104 (1993) 397-422.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.104 , pp. 397-422
    • Le Beau, G.1    Ray, S.2    Aliabadi, S.3    Tezduyar, T.4
  • 16
    • 0026407925 scopus 로고
    • Finite element computation of compressible flows with the SUPG formulation
    • M.N. Dhaubhadel, M.S. Engelman and J.N. Reddy, eds., ASME, New York
    • G. Le Beau and T. Tezduyar, Finite element computation of compressible flows with the SUPG formulation, in: M.N. Dhaubhadel, M.S. Engelman and J.N. Reddy, eds., Advances in Finite Element Analysis in Fluid Dynamics, FED-Vol. 123 (ASME, New York, 1991) 21-27.
    • (1991) Advances in Finite Element Analysis in Fluid Dynamics , vol.123 , pp. 21-27
    • Le Beau, G.1    Tezduyar, T.2
  • 17
    • 0003537962 scopus 로고
    • Ph.D. Thesis, Department of Civil Engineering, Stanford University
    • M. Mallet, A finite element method for CFD, Ph.D. Thesis, Department of Civil Engineering, Stanford University, 1985.
    • (1985) A Finite Element Method for CFD
    • Mallet, M.1
  • 18
    • 0021522778 scopus 로고
    • Computation of flow around wings based on the Euler equations
    • A. Rizzi and L. Eriksson, Computation of flow around wings based on the Euler equations, J. Fluid Mech. 148 (1984) 45-71.
    • (1984) J. Fluid Mech. , vol.148 , pp. 45-71
    • Rizzi, A.1    Eriksson, L.2
  • 19
    • 0022043255 scopus 로고
    • Computation of inviscid incompressible flow with rotation
    • A. Rizzi and L. Eriksson, Computation of inviscid incompressible flow with rotation, J. Fluid Mech. 153 (1985) 275-312.
    • (1985) J. Fluid Mech. , vol.153 , pp. 275-312
    • Rizzi, A.1    Eriksson, L.2
  • 20
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Y. Saad, A flexible inner-outer preconditioned GMRES algorithm, SIAM J. Scient. Comput. 14 (1993) 461-469.
    • (1993) SIAM J. Scient. Comput. , vol.14 , pp. 461-469
    • Saad, Y.1
  • 21
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad and M. Schultz, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Scient. Statist. Comput. 7 (1986) 856-869.
    • (1986) SIAM J. Scient. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.2
  • 23
    • 0026206734 scopus 로고
    • A new finite element formulation for computational fluid dynamics. X. The compressible Euler and Navier-Stokes equations
    • F. Shakib and T. Hughes, A new finite element formulation for computational fluid dynamics. X. The compressible Euler and Navier-Stokes equations, Comput. Methods Appl. Engrg. 89 (1991) 141-219.
    • (1991) Comput. Methods Appl. Engrg. , vol.89 , pp. 141-219
    • Shakib, F.1    Hughes, T.2
  • 24
    • 0028519653 scopus 로고
    • Finite element solution of compressible viscous flows using conservative variables
    • A. Soulaimani and M. Fortin, Finite element solution of compressible viscous flows using conservative variables, Comput. Methods Appl. Mech. Engrg. 118 (1994) 319-350.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.118 , pp. 319-350
    • Soulaimani, A.1    Fortin, M.2
  • 25
    • 0029412857 scopus 로고
    • Steady state incompressible flows using explicit schemes with an optimal local preconditioning
    • M. Storti, N. Nigro and S. Idelsohn, Steady state incompressible flows using explicit schemes with an optimal local preconditioning, Comput. Methods Appl. Mech. Engrg. 124 (1995) 231-252.
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.124 , pp. 231-252
    • Storti, M.1    Nigro, N.2    Idelsohn, S.3
  • 26
    • 0042623720 scopus 로고
    • Equal-order interpolations: A unified approach to stabilize the incompressible and convective effects
    • submitted
    • M. Storti, N. Nigro and S. Idelsohn, Equal-Order Interpolations: A Unified Approach to Stabilize the Incompressible and Convective Effects, Comput. Methods Appl. Mech. Engrg. (1994) submitted.
    • (1994) Comput. Methods Appl. Mech. Engrg.
    • Storti, M.1    Nigro, N.2    Idelsohn, S.3
  • 27
    • 0026835043 scopus 로고
    • A preconditioning mass matrix to accelerate the convergence to the steady Euler solutions using explicit schemes
    • M. Storti, C. Baumann and S. Idelsohn, A preconditioning mass matrix to accelerate the convergence to the steady Euler solutions using explicit schemes, Comput. Methods Appl. Engrg. 34 (1992) 519-541.
    • (1992) Comput. Methods Appl. Engrg. , vol.34 , pp. 519-541
    • Storti, M.1    Baumann, C.2    Idelsohn, S.3
  • 29
    • 0026995387 scopus 로고
    • Computation of unsteady incompressible flows with the stabilized finite element method-space-time formulations, iterative strategies and massively parallel implementations
    • P. Smolinski, W.K. Liu, G. Hulbert and K. Tamma, eds., ASME, New York
    • T. Tezduyar, M. Behr, S. Mittal and A. Johnson, Computation of unsteady incompressible flows with the stabilized finite element method-Space-Time formulations, iterative strategies and massively parallel implementations, in: P. Smolinski, W.K. Liu, G. Hulbert and K. Tamma, eds., New Methods in Transient Analysis, AMD-Vol. 143 (ASME, New York, 1992) 7-24.
    • (1992) New Methods in Transient Analysis , vol.143 , pp. 7-24
    • Tezduyar, T.1    Behr, M.2    Mittal, S.3    Johnson, A.4
  • 31
    • 0028534247 scopus 로고
    • Massively parallel finite element simulation of compressible and incompressible flows
    • T. Tezduyar, S. Aliabadi, M. Behr and S. Mittal, Massively parallel finite element simulation of compressible and incompressible flows, Comput. Methods Appl. Mech. Engrg. 119 (1994) 157-177.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.119 , pp. 157-177
    • Tezduyar, T.1    Aliabadi, S.2    Behr, M.3    Mittal, S.4
  • 32
    • 0025632173 scopus 로고
    • Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations
    • T. Tezduyar, J. Liou and D. Ganjoo, Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations, Comput. Struct. 35 (1990) 445-472.
    • (1990) Comput. Struct. , vol.35 , pp. 445-472
    • Tezduyar, T.1    Liou, J.2    Ganjoo, D.3
  • 33
    • 77956849889 scopus 로고
    • Stabilized finite element formulations for incompressible flow computations
    • T. Tezduyar, Stabilized finite element formulations for incompressible flow computations, Adv. Appl. Mech. 28 (1991) 1-44.
    • (1991) Adv. Appl. Mech. , vol.28 , pp. 1-44
    • Tezduyar, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.