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Volumn 26, Issue 3, 1997, Pages 249-268

Nonlinear iteration methods for high speed laminar compressible Navier-Stokes equations

Author keywords

[No Author keywords available]

Indexed keywords

AIRFOILS; APPROXIMATION THEORY; COMPRESSIBLE FLOW; CONVERGENCE OF NUMERICAL METHODS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER;

EID: 0031106412     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(96)00041-2     Document Type: Article
Times cited : (21)

References (47)
  • 1
    • 0025475785 scopus 로고
    • Unsteady Euler airfoil solutions using an unstructured dynamic mesh
    • Batina, J., Unsteady Euler airfoil solutions using an unstructured dynamic mesh. AIAA Journal, 1990, 28, 1381-1388.
    • (1990) AIAA Journal , vol.28 , pp. 1381-1388
    • Batina, J.1
  • 2
    • 0027596007 scopus 로고
    • Implicit upwind solution algorithms for three-dimensional unstructured meshes
    • Batina, J., Implicit upwind solution algorithms for three-dimensional unstructured meshes. AIAA Journal, 1993, 31, 801-805.
    • (1993) AIAA Journal , vol.31 , pp. 801-805
    • Batina, J.1
  • 3
    • 0028501722 scopus 로고
    • Implicit multiblock Euler and Navier - Stokes calculations
    • Jenssen, C. B., Implicit multiblock Euler and Navier - Stokes calculations. AIAA Journal, 1994, 32, 1808-1814.
    • (1994) AIAA Journal , vol.32 , pp. 1808-1814
    • Jenssen, C.B.1
  • 4
    • 0001875110 scopus 로고
    • A grid generation and flow solution method for the Euler equations on unstructured meshes
    • Anderson, W. K., A grid generation and flow solution method for the Euler equations on unstructured meshes. Journal of Computational Physics, 1994, 110, 23-38.
    • (1994) Journal of Computational Physics , vol.110 , pp. 23-38
    • Anderson, W.K.1
  • 5
    • 0028519472 scopus 로고
    • Parallel implicit unstructured grid Euler solvers
    • Venkatakrishnan, V., Parallel implicit unstructured grid Euler solvers. AIAA Journal, 1993, 32, 1985-1991.
    • (1993) AIAA Journal , vol.32 , pp. 1985-1991
    • Venkatakrishnan, V.1
  • 6
    • 0029167865 scopus 로고
    • Direct and iterative algorithms for the three-dimensional Euler equations
    • Vanden, K. J. and Whirfield, D. L., Direct and iterative algorithms for the three-dimensional Euler equations. AIAA Journal, 1995, 33, 851-857.
    • (1995) AIAA Journal , vol.33 , pp. 851-857
    • Vanden, K.J.1    Whirfield, D.L.2
  • 7
    • 0026187123 scopus 로고
    • Preconditioned conjugate gradient methods for the compressible Navier - Stokes equations
    • Venkatakrishnan, V., Preconditioned conjugate gradient methods for the compressible Navier - Stokes equations. AIAA Journal, 1991, 29, 1092-1100.
    • (1991) AIAA Journal , vol.29 , pp. 1092-1100
    • Venkatakrishnan, V.1
  • 8
    • 0027334458 scopus 로고
    • Direct solution of the two-dimensional Navier - Stokes equations for static aeroelasticity problems
    • Felker, F. F., Direct solution of the two-dimensional Navier - Stokes equations for static aeroelasticity problems. AIAA Journal, 1993, 31, 148-153.
    • (1993) AIAA Journal , vol.31 , pp. 148-153
    • Felker, F.F.1
  • 10
    • 0026617150 scopus 로고
    • Newton's method solver for high speed viscous separated flowfields
    • Orkwis, P. D. and McRae, D. S., Newton's method solver for high speed viscous separated flowfields. AIAA Journal, 1992, 30, 78-85.
    • (1992) AIAA Journal , vol.30 , pp. 78-85
    • Orkwis, P.D.1    Mcrae, D.S.2
  • 11
    • 0027596004 scopus 로고
    • Comparision of Newton's and quasi-Newton's method solvers for the Navier - Stokes equations
    • Orkwis, P. D., Comparision of Newton's and quasi-Newton's method solvers for the Navier - Stokes equations. AIAA Journal, 1993, 31, 832-836.
    • (1993) AIAA Journal , vol.31 , pp. 832-836
    • Orkwis, P.D.1
  • 12
    • 0011402638 scopus 로고
    • Preconditioned conjugate gradient methods for the Navier - Stokes equations
    • Ajmani, K. and Ng, W.-F., Preconditioned conjugate gradient methods for the Navier - Stokes equations. Journal of Computational Physics, 1994, 110, 68-81.
    • (1994) Journal of Computational Physics , vol.110 , pp. 68-81
    • Ajmani, K.1    Ng, W.-F.2
  • 14
    • 0028315726 scopus 로고
    • An implicit upwind algorithm for computing turbulent flows on unstructured grids
    • Anderson, W. K. and Bonhaus, D. L., An implicit upwind algorithm for computing turbulent flows on unstructured grids. Computers & Fluids, 1994, 23, 1-25.
    • (1994) Computers & Fluids , vol.23 , pp. 1-25
    • Anderson, W.K.1    Bonhaus, D.L.2
  • 15
    • 0022783786 scopus 로고
    • Comparison of finite volume flux vector splitrings for the Euler equations
    • Anderson, W. K., Thomas, J. L. and Van Leer, B., Comparison of finite volume flux vector splitrings for the Euler equations. AIAA Journal, 1986, 24, 1453-1460.
    • (1986) AIAA Journal , vol.24 , pp. 1453-1460
    • Anderson, W.K.1    Thomas, J.L.2    Van Leer, B.3
  • 16
    • 0027334462 scopus 로고
    • Adaptive finite volume upwind approach on mixed quadrilateral-triangular meshes
    • Hwang, C. J. and Wu, S. J., Adaptive finite volume upwind approach on mixed quadrilateral-triangular meshes. AIAA Journal, 1993, 31, 61-67.
    • (1993) AIAA Journal , vol.31 , pp. 61-67
    • Hwang, C.J.1    Wu, S.J.2
  • 17
    • 0002554343 scopus 로고
    • Convergence analysis of defect-correction iteration for hyperbolic problems
    • Desideri, J. A. and Hemker, P. W., Convergence analysis of defect-correction iteration for hyperbolic problems. SIAM Journal of Scientific Computing, 1994, 16, 88-118.
    • (1994) SIAM Journal of Scientific Computing , vol.16 , pp. 88-118
    • Desideri, J.A.1    Hemker, P.W.2
  • 18
    • 0007672042 scopus 로고
    • AGARD special course on parallel computing in CFD: AGARD Report R-807
    • Barth, T. J., Parallel CFD algorithms on unstructured meshes. AGARD special course on parallel computing in CFD: AGARD Report R-807, pp. 7-1-7-41, 1995.
    • (1995) Parallel CFD Algorithms on Unstructured Meshes , pp. 71-741
    • Barth, T.J.1
  • 21
    • 0029360991 scopus 로고
    • Robust linear and nonlinear strategies for solution of the transonic Euler equations
    • Jiang, H. and Forsyth, P. A., Robust linear and nonlinear strategies for solution of the transonic Euler equations. Computers & Fluids, 1995, 24, 753-770.
    • (1995) Computers & Fluids , vol.24 , pp. 753-770
    • Jiang, H.1    Forsyth, P.A.2
  • 23
    • 0000048673 scopus 로고
    • GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems
    • Saad, Y. and Schultz, M. H., GMRES: a generalized minimum residual algorithm for solving nonsymmetric linear systems. SIAM Journal of Scientific and Statistical Computing, 1986, 7, 856-859.
    • (1986) SIAM Journal of Scientific and Statistical Computing , vol.7 , pp. 856-859
    • Saad, Y.1    Schultz, M.H.2
  • 25
    • 0000256195 scopus 로고
    • Towards a cost effective ILU preconditioner with high level fill
    • D'Azevedo, E. F., Forsyth, P. A. and Tang, W. P., Towards a cost effective ILU preconditioner with high level fill. BIT, 1992, 32, 442-463.
    • (1992) BIT , vol.32 , pp. 442-463
    • D'Azevedo, E.F.1    Forsyth, P.A.2    Tang, W.P.3
  • 26
    • 0028671361 scopus 로고
    • Comparison of standard and matrix-free implementations of several Newton - Krylov solvers
    • McHugh, P. R. and Knoll, D. A., Comparison of standard and matrix-free implementations of several Newton - Krylov solvers. AIAA Journal, 1994, 32, 2394-2404.
    • (1994) AIAA Journal , vol.32 , pp. 2394-2404
    • McHugh, P.R.1    Knoll, D.A.2
  • 30
    • 0022477699 scopus 로고
    • Characteristic base schemes for the Euler equations
    • Roe, P. L., Characteristic base schemes for the Euler equations. Annual Review of Fluid Mechanics, 1986, 18, 337-365.
    • (1986) Annual Review of Fluid Mechanics , vol.18 , pp. 337-365
    • Roe, P.L.1
  • 33
    • 0029708371 scopus 로고    scopus 로고
    • New mixed Van Leer flux splitting for transonic viscous flow
    • Ferrand, P. and Aubert, S., New mixed Van Leer flux splitting for transonic viscous flow. AIAA Journal, 1996, 34, 190-193.
    • (1996) AIAA Journal , vol.34 , pp. 190-193
    • Ferrand, P.1    Aubert, S.2
  • 34
    • 0000334477 scopus 로고    scopus 로고
    • Grid influence on upwind schemes for the Euler and Navier - Stokes equations
    • Zhang, X. D., Trepanier, J. Y., Reggio, M., Benmeddour, A. and Camarero, R., Grid influence on upwind schemes for the Euler and Navier - Stokes equations. AIAA Journal, 1996, 34, 717-727.
    • (1996) AIAA Journal , vol.34 , pp. 717-727
    • Zhang, X.D.1    Trepanier, J.Y.2    Reggio, M.3    Benmeddour, A.4    Camarero, R.5
  • 35
    • 0029659860 scopus 로고    scopus 로고
    • A consistent approach for applying numerical boundary conditions for multiphase subsurface flow
    • Wu, Y. S., Forsyth, P. A. and Jiang, H., A consistent approach for applying numerical boundary conditions for multiphase subsurface flow. J. Cont, Hydrol., 1996, 23, 157-184.
    • (1996) J. Cont, Hydrol. , vol.23 , pp. 157-184
    • Wu, Y.S.1    Forsyth, P.A.2    Jiang, H.3
  • 37
    • 0028372477 scopus 로고
    • Linear and nonlinear iterative methods for the incompressible Navier - Stokes equations
    • Cliff, S. S. and Forsyth, P. A., Linear and nonlinear iterative methods for the incompressible Navier - Stokes equations. International Journal of Numerical Methods in Fluids, 1994, 18, 229-256.
    • (1994) International Journal of Numerical Methods in Fluids , vol.18 , pp. 229-256
    • Cliff, S.S.1    Forsyth, P.A.2
  • 40
    • 0029413107 scopus 로고
    • Robust numerical methods for saturated - Unsaturated flow with dry initial conditions in heterogeneous media
    • Forsyth, P. A., Wu, Y. S. and Pruess, K., Robust numerical methods for saturated - unsaturated flow with dry initial conditions in heterogeneous media. Advances in Water Reserach, 1995, 18, 25-38.
    • (1995) Advances in Water Reserach , vol.18 , pp. 25-38
    • Forsyth, P.A.1    Wu, Y.S.2    Pruess, K.3
  • 41
    • 0028486562 scopus 로고
    • A partially implicit method for simulating viscous aerofoil problems
    • Badcock, K. J., A partially implicit method for simulating viscous aerofoil problems. International Journal of Numerical Methods in Fluids, 1994, 19, 259-268.
    • (1994) International Journal of Numerical Methods in Fluids , vol.19 , pp. 259-268
    • Badcock, K.J.1
  • 42
    • 0001085854 scopus 로고
    • Incomplete factorization methods for fully implicit simulation of enhanced oil recovery
    • Behie, G. A. and Forsyth, P. A., Incomplete factorization methods for fully implicit simulation of enhanced oil recovery. SIAM Journal of Scientific and Statistical Computing, 1984, 5, 543-561.
    • (1984) SIAM Journal of Scientific and Statistical Computing , vol.5 , pp. 543-561
    • Behie, G.A.1    Forsyth, P.A.2
  • 43
    • 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. A., Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM Journal of Scientific and Statistical Computing, 1992, 13, 631-645.
    • (1992) SIAM Journal of Scientific and Statistical Computing , vol.13 , pp. 631-645
    • Van Der Vorst, H.A.1
  • 44
    • 0000565358 scopus 로고
    • Ordering methods for preconditioned conjugate gradient methods applied to unstructured grid problems
    • D'Azevedo, E. F., Forsyth, P. A. and Tang, W. P., Ordering methods for preconditioned conjugate gradient methods applied to unstructured grid problems. SIAM Journal of Matrix Analysis Applications, 1992, 13, 944-961.
    • (1992) SIAM Journal of Matrix Analysis Applications , vol.13 , pp. 944-961
    • D'Azevedo, E.F.1    Forsyth, P.A.2    Tang, W.P.3
  • 46
    • 0028450563 scopus 로고
    • A three dimesnsional multiphase flow model for assessing NAPL contamination in porous and fractured media I, Formulation
    • Huyakorn, P., Panday, S. and Wu, Y. S., A three dimesnsional multiphase flow model for assessing NAPL contamination in porous and fractured media I, Formulation., J. Cont, Hydrol., 1994, 16, 109-130.
    • (1994) J. Cont, Hydrol. , vol.16 , pp. 109-130
    • Huyakorn, P.1    Panday, S.2    Wu, Y.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.