메뉴 건너뛰기




Volumn 31, Issue 3, 1997, Pages 295-312

High-order scheme implementation using newton-krylov solution methods

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ITERATIVE METHODS; NUMERICAL METHODS; PROBLEM SOLVING; REYNOLDS NUMBER;

EID: 0031117985     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407799708915111     Document Type: Article
Times cited : (9)

References (28)
  • 1
    • 0027657798 scopus 로고
    • A Fully Implicit Direct Newton Solver for the Navier-Stoke Equations
    • D. A. Knoll and P. R. McHugh, A Fully Implicit Direct Newton Solver for the Navier-Stoke Equations, Int. J. Numer. Meth. Fluids, vol. 17, pp. 449-461,1993.
    • (1993) Int. J. Numer. Meth. Fluids , vol.17 , pp. 449-461
    • Knoll, D.A.1    McHugh, P.R.2
  • 2
    • 0028498492 scopus 로고
    • Fully Implicit Finite Volume Solutions of the Incompressible Navier Stokes and Energy Equations Using Inexact Newton’s Method
    • P. R. McHugh and D. A. Knoll, Fully Implicit Finite Volume Solutions of the Incompressible Navier Stokes and Energy Equations Using Inexact Newton’s Method, Int. J. Numer. Meth. Fluids, vol. 19, pp. 439-455, 1994.
    • (1994) Int. J. Numer. Meth. Fluids , vol.19 , pp. 439-455
    • McHugh, P.R.1    Knoll, D.A.2
  • 3
    • 0024620287 scopus 로고
    • Robust Semidirect Finite Difference Methods for Solving the Navier-Stokes and Energy Equations
    • J. W. MacArthur and S. V. Patankar, Robust Semidirect Finite Difference Methods for Solving the Navier-Stokes and Energy Equations, Int. J. Numer. Meth. Fluids, vol. 9, pp. 325-340, 1989.
    • (1989) Int. J. Numer. Meth. Fluids , vol.9 , pp. 325-340
    • Macarthur, J.W.1    Patankar, S.V.2
  • 4
    • 0022153128 scopus 로고
    • Block-Implicit Calculation of Steady Turbulent Recirculating Flows
    • S. P. Vanka, Block-Implicit Calculation of Steady Turbulent Recirculating Flows, Int. J. Heat Mass Transfer, vol. 28, no. 11, pp. 2093-2103, 1985.
    • (1985) Int. J. Heat Mass Transfer , vol.28 , Issue.11 , pp. 2093-2103
    • Vanka, S.P.1
  • 5
    • 0028497173 scopus 로고
    • Defect Correction with a Fully Coupled Inexact Newton Method
    • R. W. Johnson, P. R. McHugh, and D. A. Knoll, Defect Correction with a Fully Coupled Inexact Newton Method, Numer. Heat Transfer, Part B, vol. 26, pp. 173-188, 1994.
    • (1994) Numer. Heat Transfer, Part B , vol.26 , pp. 173-188
    • Johnson, R.W.1    McHugh, P.R.2    Knoll, D.A.3
  • 6
    • 0026711958 scopus 로고
    • Domain Decomposition Methods in Computational Fluid Dynamics
    • W. D. Gropp and D. E. Keyes, Domain Decomposition Methods in Computational Fluid Dynamics, Int. J. Numer. Meth. Fluids, vol. 14, pp. 147-165, 1992.
    • (1992) Int. J. Numer. Meth. Fluids , vol.14 , pp. 147-165
    • Gropp, W.D.1    Keyes, D.E.2
  • 7
    • 0026900379 scopus 로고
    • Preconditioned Conjugate Gradient Methods for the Incompressible Navier-Stokes Equations
    • P. Chin, E. F. D’Azevedo, P. A. Forsyth, and W.-P. Tang, Preconditioned Conjugate Gradient Methods for the Incompressible Navier-Stokes Equations, Int. J. Numer. Meth. Fluids, vol. 15, pp. 273-295, 1992.
    • (1992) Int. J. Numer. Meth. Fluids , vol.15 , pp. 273-295
    • Chin, P.1    D’Azevedo, E.F.2    Forsyth, P.A.3    Tang, W.-P.4
  • 8
    • 0000937181 scopus 로고
    • A Consistently Formulated QUICK scheme for Fast and Stable Convergence Using Finite-Volume Iterative Calculation Procedures
    • T. Hayase, J. A. C. Humphrey, and R. Grief, A Consistently Formulated QUICK scheme for Fast and Stable Convergence Using Finite-Volume Iterative Calculation Procedures, J. Comput. Phys., vol. 98, pp. 108-118,1992.
    • (1992) J. Comput. Phys. , vol.98 , pp. 108-118
    • Hayase, T.1    Humphrey, J.A.C.2    Grief, R.3
  • 9
    • 0027677410 scopus 로고
    • A New High-Resolution Scheme Based on the Normalized Variable Formulation
    • M. S. Darwish, A New High-Resolution Scheme Based on the Normalized Variable Formulation, Numer. Heat Transfer, Part B, vol. 24, pp. 353-371, 1993.
    • (1993) Numer. Heat Transfer , vol.24 , pp. 353-371
    • Darwish, M.S.1
  • 10
    • 0000924424 scopus 로고
    • Polynomial Interpolation Method for Viscous Flow Calculations
    • S. G. Rubin and P. K. Khosla, Polynomial Interpolation Method for Viscous Flow Calculations, J. Comput. Phys., vol. 27, pp. 153-168, 1982.
    • (1982) J. Comput. Phys. , vol.27 , pp. 153-168
    • Rubin, S.G.1    Khosla, P.K.2
  • 12
    • 38149145405 scopus 로고
    • Solutions of Nonlinear Poisson-Type Equations
    • B. M. Averick and J. M. Ortega, Solutions of Nonlinear Poisson-Type Equations, Appl. Numer. Math., vol. 8, pp. 443-455, 1991.
    • (1991) Appl. Numer. Math. , vol.8 , pp. 443-455
    • Averick, B.M.1    Ortega, J.M.2
  • 13
    • 0000048673 scopus 로고
    • GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
    • Y. Saad and M. H. Schultz, GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM J. Sci. Stat. Comput., vol. 7, pp. 856-869, 1986.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 14
    • 0001031880 scopus 로고
    • A Transpose-Free Quasi-Minimal Residual Algorithm for non-Hermitian Linear Systems
    • R. W. Freund, A Transpose-Free Quasi-Minimal Residual Algorithm for non-Hermitian Linear Systems, SIAM J. Sci. Comput., vol. 14, pp. 470-482, 1993.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 470-482
    • Freund, R.W.1
  • 15
    • 0002716979 scopus 로고
    • CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear Systems
    • P. Sonneveld, CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear Systems, SIAM J. Sci. Stat. Comput., vol. 10, pp. 36-52, 1989.
    • (1989) SIAM J. Sci. Stat. Comput. , vol.10 , pp. 36-52
    • Sonneveld, P.1
  • 16
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
    • H. A. van der Vorst, Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems, SIAM J. Sci. Stat. Comput., vol. 13, pp. 631-644,1992.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 19
    • 0018480361 scopus 로고
    • A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation
    • B. P. Leonard, A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation, Comput. Meth. Appl. Mech. Eng., vol. 19, pp. 59-98, 1979.
    • (1979) Comput. Meth. Appl. Mech. Eng. , vol.19 , pp. 59-98
    • Leonard, B.P.1
  • 20
    • 0000037069 scopus 로고
    • Finite Difference Method IV
    • in W. J. Minkowycz, E. M. Sparrow, G. E. Schneider, and R. H. Pletcher. (Eds.), John Wiley, New York
    • B. P. Leonard, Elliptic Systems: Finite Difference Method IV, in W. J. Minkowycz, E. M. Sparrow, G. E. Schneider, and R. H. Pletcher. (Eds.), Handbook of Numerical Heat Transfer, pp. 347-378, John Wiley, New York, 1988.
    • (1988) Handbook of Numerical Heat Transfer , pp. 347-378
    • Leonard, B.P.1    Systems, E.2
  • 21
    • 0000977352 scopus 로고
    • Hybrid Krylov Methods for Nonlinear Systems of Equations
    • P. N. Brown and Y. Saad, Hybrid Krylov Methods for Nonlinear Systems of Equations, SIAM J. Sci. Stat. Comput., vol. 11, pp. 450-481, 1990.
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 450-481
    • Brown, P.N.1    Saad, Y.2
  • 24
    • 84966225158 scopus 로고
    • An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix Is a Symmetric M-Matrix
    • J. A. Meijerink and H. A. van der Vorst, An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix Is a Symmetric M-Matrix, Math. Comput., vol. 31, pp. 148-162, 1977.
    • (1977) Math. Comput. , vol.31 , pp. 148-162
    • Meijerink, J.A.1    Van Der Vorst, H.A.2
  • 25
    • 0019359208 scopus 로고
    • A Conjugate Gradient-Truncated Direct Method for the Iterative Solution of the Reservoir Simulation Pressure Equation
    • J. W. Watts, A Conjugate Gradient-Truncated Direct Method for the Iterative Solution of the Reservoir Simulation Pressure Equation, Soc. Petrol. Eng. J., vol. 21, pp. 345-353, 1981.
    • (1981) Soc. Petrol. Eng. J. , vol.21 , pp. 345-353
    • Watts, J.W.1
  • 26
    • 0026977826 scopus 로고
    • Benchmark Problems for Heat Transfer Codes
    • ASME, New York
    • B. Blackwell and D. W. Pepper, Benchmark Problems for Heat Transfer Codes, HTD-VoL 222, ASME, New York, 1992.
    • (1992) HTD , vol.222
    • Blackwell, B.1    Pepper, D.W.2
  • 27
    • 84987505901 scopus 로고
    • A Test Flow Problem for Outflow Boundary Conditions—Flow over a Backward-Facing Step
    • D. K. Gartling, A Test Flow Problem for Outflow Boundary Conditions—Flow over a Backward-Facing Step, Int. J. Numer. Meth. Fluids, vol. 11, pp. 953-967, 1990.
    • (1990) Int. J. Numer. Meth. Fluids , vol.11 , pp. 953-967
    • Gartling, D.K.1
  • 28
    • 0027867287 scopus 로고
    • Fully Implicit Solution of the Benchmark Problem Using Inexact Newton’s Method
    • ASME, New York
    • P. R. McHugh, D. A. Knoll, and R. W. Johnson, Fully Implicit Solution of the Benchmark Problem Using Inexact Newton’s Method, HTD-VoL 258, pp. 83-91, ASME, New York, 1993.
    • (1993) HTD , vol.258 , pp. 83-91
    • McHugh, P.R.1    Knoll, D.A.2    Johnson, R.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.