메뉴 건너뛰기




Volumn 184, Issue 1, 2003, Pages 79-105

High-resolution viscous flow simulations at arbitrary Mach number

Author keywords

Approximate factorization; Characteristic; Discontinuity; Flux difference; Implicit; Preconditioning; Simulation; Unsteady; Viscous

Indexed keywords

AERODYNAMICS; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; CIRCULAR CYLINDERS; INCOMPRESSIBLE FLOW; ITERATIVE METHODS; MACH NUMBER; REYNOLDS NUMBER; VISCOUS FLOW;

EID: 0037284079     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(02)00018-9     Document Type: Article
Times cited : (93)

References (48)
  • 1
    • 44949266287 scopus 로고
    • A review of preconditioning methods for fluid dynamics
    • E. Turkel, A review of preconditioning methods for fluid dynamics, Appl. Numer. Math. 12 (1993) 257-284.
    • (1993) Appl. Numer. Math. , vol.12 , pp. 257-284
    • Turkel, E.1
  • 2
    • 0033489552 scopus 로고    scopus 로고
    • Preconditioning techniques in computational fluid dynamics
    • E. Turkel, Preconditioning techniques in computational fluid dynamics, Annu. Rev. Fluid Mech. 31 (1999) 385-416.
    • (1999) Annu. Rev. Fluid Mech. , vol.31 , pp. 385-416
    • Turkel, E.1
  • 3
    • 0020842331 scopus 로고
    • A low Mach number Euler formulation and application to time iterative LBI schemes
    • W.R. Briley, H. McDonald, S.J. Shamroth, A low Mach number Euler formulation and application to time iterative LBI schemes, AIAA J. 21 (10) (1983) 1467-1469.
    • (1983) AIAA J. , vol.21 , Issue.10 , pp. 1467-1469
    • Briley, W.R.1    McDonald, H.2    Shamroth, S.J.3
  • 4
    • 0000782020 scopus 로고
    • Three-dimensional supersonic flow of a viscous or inviscid gas
    • H. McDonald, W.R. Briley, Three-dimensional supersonic flow of a viscous or inviscid gas, J. Comp. Phys. 19 (2) (1975) 150-178.
    • (1975) J. Comp. Phys. , vol.19 , Issue.2 , pp. 150-178
    • McDonald, H.1    Briley, W.R.2
  • 5
    • 0017484183 scopus 로고
    • Implicit finite-difference procedures for the computation of vortex wakes
    • J.L. Steger, P. Kutler, Implicit finite-difference procedures for the computation of vortex wakes, AIAA J. 15 (4) (1977) 581-590.
    • (1977) AIAA J. , vol.15 , Issue.4 , pp. 581-590
    • Steger, J.L.1    Kutler, P.2
  • 6
    • 0022146995 scopus 로고
    • Application of time-iterative schemes to incompressible flow
    • D. Choi, C.L. Merkle, Application of time-iterative schemes to incompressible flow, AIAA J. 23 (10) (1985) 1518-1524.
    • (1985) AIAA J. , vol.23 , Issue.10 , pp. 1518-1524
    • Choi, D.1    Merkle, C.L.2
  • 7
    • 0023360166 scopus 로고
    • Computation of low-speed flow with heat addition
    • C.L. Merkle, D.L. Choi, Computation of low-speed flow with heat addition, AIAA J. 25 (6) (1987) 831-838.
    • (1987) AIAA J. , vol.25 , Issue.6 , pp. 831-838
    • Merkle, C.L.1    Choi, D.L.2
  • 8
    • 0003293331 scopus 로고
    • Pseudo-unsteady systems for steady inviscid flow calculation
    • SIAM, F. Angrand, et al. (Eds.) Philadelphia
    • H. Viviand, Pseudo-unsteady systems for steady inviscid flow calculation, in: F. Angrand, et al. (Eds.), Numerical Methods for the Euler Equations of Fluid Dynamics, SIAM, Philadelphia, 1985.
    • (1985) Numerical Methods for the Euler Equations of Fluid Dynamics
    • Viviand, H.1
  • 9
    • 45949116154 scopus 로고
    • Preconditioned methods for solving the incompressible and low-speed compressible equations
    • E. Turkel, Preconditioned methods for solving the incompressible and low-speed compressible equations, J. Comput. Phys. 72 (1987) 277-298.
    • (1987) J. Comput. Phys. , vol.72 , pp. 277-298
    • Turkel, E.1
  • 10
    • 85190304584 scopus 로고
    • Solution of the incompressible Navier-Stokes equations using artificial compressibility
    • Proceedings of the Eleventh International Conference on Numerical Methods in Fluid Mechanics, Springer, New York
    • W.R. Briley, R.C. Buggeln, H. McDonald, Solution of the incompressible Navier-Stokes equations using artificial compressibility, in: Proceedings of the Eleventh International Conference on Numerical Methods in Fluid Mechanics, Springer, New York, 1989.
    • (1989)
    • Briley, W.R.1    Buggeln, R.C.2    McDonald, H.3
  • 11
    • 28144434245 scopus 로고
    • The application of preconditioning to viscous flows
    • Y.H. Choi, C.L. Merkle, The application of preconditioning to viscous flows, J. Comput. Phys. 105 (1993) 207-223.
    • (1993) J. Comput. Phys. , vol.105 , pp. 207-223
    • Choi, Y.H.1    Merkle, C.L.2
  • 12
    • 0029511474 scopus 로고
    • Preconditioning applied to variable and constant density flows
    • J.M. Weiss, W.A. Smith, Preconditioning applied to variable and constant density flows, AIAA J. 33 (1995) 2050-2057.
    • (1995) AIAA J. , vol.33 , pp. 2050-2057
    • Weiss, J.M.1    Smith, W.A.2
  • 13
    • 0032738202 scopus 로고    scopus 로고
    • Implicit solution of preconditioned Navier-Stokes equations using algebraic multigrid
    • J.M. Weiss, J.P. Maruszewski, W.A. Smith, Implicit solution of preconditioned Navier-Stokes equations using algebraic multigrid, AIAA J. 37 (1999) 29-36.
    • (1999) AIAA J. , vol.37 , pp. 29-36
    • Weiss, J.M.1    Maruszewski, J.P.2    Smith, W.A.3
  • 14
    • 0003678887 scopus 로고
    • On solving the compressible Navier-Stokes equations for unsteady flows at very low Mach number
    • AIAA Paper No. 93-3368-CP
    • R.H. Pletcher, K.-H. Chen, On solving the compressible Navier-Stokes equations for unsteady flows at very low Mach number, AIAA Paper No. 93-3368-CP, 1993.
    • (1993)
    • Pletcher, R.H.1    Chen, K.-H.2
  • 15
    • 0000634870 scopus 로고    scopus 로고
    • Low-diffusion flux-splitting methods for flows at all speeds
    • J.R. Edwards, M-S. Liou, Low-diffusion flux-splitting methods for flows at all speeds, AIAA J. 36 (9) (1998) 1610-1617.
    • (1998) AIAA J. , vol.36 , Issue.9 , pp. 1610-1617
    • Edwards, J.R.1    Liou, M.-S.2
  • 16
    • 0013386175 scopus 로고    scopus 로고
    • 2) preconditioned multigrid solvers for the Euler and Navier-Stokes equations
    • AIAA Paper No. 99-3263
    • 2) preconditioned multigrid solvers for the Euler and Navier-Stokes equations, AIAA Paper No. 99-3263, 1999.
    • (1999)
    • Edwards, J.R.1    Thomas, J.L.2
  • 17
    • 0022477699 scopus 로고
    • Characteristic-based schemes for the Euler equations
    • Annual Reviews
    • P.L. Roe, Characteristic-based schemes for the Euler equations, Ann. Rev. Fluid Mech. 18 (1986) 337-365, Annual Reviews.
    • (1986) Ann. Rev. Fluid Mech. , vol.18 , pp. 337-365
    • Roe, P.L.1
  • 19
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vector, and difference schemes
    • P.L. Roe, Approximate Riemann solvers, parameter vector, and difference schemes, J. Comput. Phys. 43 (1981) 357.
    • (1981) J. Comput. Phys. , vol.43 , pp. 357
    • Roe, P.L.1
  • 21
    • 0026853643 scopus 로고
    • Flux-difference split algorithm for unsteady thin-layer Navier-Stokes solutions
    • L.B. Simpson, D.L. Whitfield, Flux-difference split algorithm for unsteady thin-layer Navier-Stokes solutions, AIAA J. 30 (4) (1992) 914-922.
    • (1992) AIAA J. , vol.30 , Issue.4 , pp. 914-922
    • Simpson, L.B.1    Whitfield, D.L.2
  • 22
    • 85006371687 scopus 로고
    • Discretized Newton-relaxation solution of high-resolution flux-difference split schemes
    • AIAA Paper No. 91-1539
    • D.L. Whitfield, L.K. Taylor, Discretized Newton-relaxation solution of high-resolution flux-difference split schemes, AIAA Paper No. 91-1539, 1991.
    • (1991)
    • Whitfield, D.L.1    Taylor, L.K.2
  • 23
    • 85006710310 scopus 로고
    • Unsteady three-dimensional incompressible Euler and Navier-Stokes solver for stationary and dynamic grids
    • AIAA Paper No. 91-1650
    • L.K. Taylor, D.L. Whitfield, Unsteady three-dimensional incompressible Euler and Navier-Stokes solver for stationary and dynamic grids, AIAA Paper No. 91-1650, 1991.
    • (1991)
    • Taylor, L.K.1    Whitfield, D.L.2
  • 24
    • 0003445351 scopus 로고
    • Numerical solution of the two-dimensional time-dependent incompressible Euler equations
    • Mississippi State University Report No. MSSU-EIRS-ERC-93-14
    • D.L. Whitfield, L.K. Taylor, Numerical solution of the two-dimensional time-dependent incompressible Euler equations, Mississippi State University Report No. MSSU-EIRS-ERC-93-14, 1994.
    • (1994)
    • Whitfield, D.L.1    Taylor, L.K.2
  • 25
    • 0013333864 scopus 로고
    • Relaxation methods for unfactored implicit upwind schemes
    • AIAA Paper 84-0165
    • S.R. Chakravarthy, Relaxation methods for unfactored implicit upwind schemes, AIAA Paper 84-0165, 1984.
    • (1984)
    • Chakravarthy, S.R.1
  • 26
    • 38249039018 scopus 로고
    • A relaxation approach to patched grid calculations with the Euler equations
    • M.M. Rai, A relaxation approach to patched grid calculations with the Euler equations, J. Comp. Phys. 66 (1986) 99-131.
    • (1986) J. Comp. Phys. , vol.66 , pp. 99-131
    • Rai, M.M.1
  • 27
    • 0003598581 scopus 로고
    • Unified formulation for incompressible flows
    • AIAA Paper 89-0122
    • D. Pan, S. Chakravarthy, Unified formulation for incompressible flows, AIAA Paper 89-0122, 1989.
    • (1989)
    • Pan, D.1    Chakravarthy, S.2
  • 28
    • 0025383933 scopus 로고
    • An upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations
    • S.E. Rogers, D. Kwak, An upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations, AIAA J. 28 (2) (1990) 253-262.
    • (1990) AIAA J. , vol.28 , Issue.2 , pp. 253-262
    • Rogers, S.E.1    Kwak, D.2
  • 29
    • 0013336934 scopus 로고
    • Time accurate incompressible Navier-Stokes simulation of the flapping foil experiment
    • Proceedings of the Sixth International Conference on Numerical Ship Hydrodynamics, Iowa City, IA
    • L.K. Taylor, J.A. Busby, M.Y. Jiang, A. Arabshahi, K. Sreenivas, D.L. Whitfield, Time accurate incompressible Navier-Stokes simulation of the flapping foil experiment, in: Proceedings of the Sixth International Conference on Numerical Ship Hydrodynamics, Iowa City, IA, 1993.
    • (1993)
    • Taylor, L.K.1    Busby, J.A.2    Jiang, M.Y.3    Arabshahi, A.4    Sreenivas, K.5    Whitfield, D.L.6
  • 30
    • 0013421784 scopus 로고    scopus 로고
    • Scalable parallel implicit multigrid solution of unsteady incompressible flows
    • D.A. Caughey, M.M. Hafez (Eds.) World Scientific, PTE LTD, Singapore
    • R. Pankajakshan, L.K. Taylor, C. Sheng, W.R. Briley, D.L. Whitfield, Scalable parallel implicit multigrid solution of unsteady incompressible flows, in: D.A. Caughey, M.M. Hafez (Eds.), Frontiers of Computational Fluid Dynamics 2002, World Scientific, PTE LTD, Singapore, 2002.
    • (2002) Frontiers of Computational Fluid Dynamics 2002
    • Pankajakshan, R.1    Taylor, L.K.2    Sheng, C.3    Briley, W.R.4    Whitfield, D.L.5
  • 31
    • 84966224798 scopus 로고
    • Implicit schemes and LU decompositions
    • A. Jameson, E. Turkel, Implicit schemes and LU decompositions, Math. Comp. 37 (1981) 385.
    • (1981) Math. Comp. , vol.37 , pp. 385
    • Jameson, A.1    Turkel, E.2
  • 32
    • 85190249039 scopus 로고
    • An implicit LU scheme for the Euler equations applied to arbitrary cascades
    • AIAA Paper 84-0167
    • E.K. Buratynski, D.A. Caughey, An implicit LU scheme for the Euler equations applied to arbitrary cascades, AIAA Paper 84-0167, 1984.
    • (1984)
    • Buratynski, E.K.1    Caughey, D.A.2
  • 33
    • 0023378605 scopus 로고
    • Lower-upper implicit schemes with multiple grids for the Euler equations
    • A. Jameson, S. Yoon, Lower-upper implicit schemes with multiple grids for the Euler equations, AIAA J. 25 (7) (1987) 929-935.
    • (1987) AIAA J. , vol.25 , Issue.7 , pp. 929-935
    • Jameson, A.1    Yoon, S.2
  • 34
    • 0024070893 scopus 로고
    • Lower-upper symmetric Gauss-Seidel method for the Euler and Navier-Stokes equations
    • S. Yoon, A. Jameson, Lower-upper symmetric Gauss-Seidel method for the Euler and Navier-Stokes equations, AIAA J. 26 (9) (1988) 1025-1026.
    • (1988) AIAA J. , vol.26 , Issue.9 , pp. 1025-1026
    • Yoon, S.1    Jameson, A.2
  • 35
    • 0026170207 scopus 로고
    • Three-dimensional incompressible Navier-Stokes solver using lower-upper symmetric Gauss-Seidel algorithm
    • S. Yoon, D. Kwak, Three-dimensional incompressible Navier-Stokes solver using lower-upper symmetric Gauss-Seidel algorithm, AIAA J. 29 (6) (1991) 874-875.
    • (1991) AIAA J. , vol.29 , Issue.6 , pp. 874-875
    • Yoon, S.1    Kwak, D.2
  • 36
    • 0035448947 scopus 로고    scopus 로고
    • An overview and generalization of implicit Navier-Stokes algorithms and approximate factorization
    • W.R. Briley, H. McDonald, An overview and generalization of implicit Navier-Stokes algorithms and approximate factorization, Comput. Fluids 30 (2001) 807-828.
    • (2001) Comput. Fluids , vol.30 , pp. 807-828
    • Briley, W.R.1    McDonald, H.2
  • 37
    • 0022783786 scopus 로고
    • Comparison of finite volume flux vector splittings for the Euler equations
    • W.K. Anderson, J.T. Thomas, B. van Leer, Comparison of finite volume flux vector splittings for the Euler equations, AIAA J. 24 (1986) 1453.
    • (1986) AIAA J. , vol.24 , pp. 1453
    • Anderson, W.K.1    Thomas, J.T.2    van Leer, B.3
  • 38
    • 85190270849 scopus 로고    scopus 로고
    • A multiblock compressible Navier-Stokes flow solver applied to complex launch vehicles
    • AIAA-99-3378
    • A. Arabshahi, J.M. Janus, A multiblock compressible Navier-Stokes flow solver applied to complex launch vehicles, AIAA-99-3378, 1999.
    • (1999)
    • Arabshahi, A.1    Janus, J.M.2
  • 39
    • 0004025930 scopus 로고
    • A contribution to the great Riemann solver debate
    • NASA CR 191409, ICASE Report No. 92-64
    • J.J. Quirk, A contribution to the great Riemann solver debate, NASA CR 191409, ICASE Report No. 92-64, 1992.
    • (1992)
    • Quirk, J.J.1
  • 40
    • 0000104186 scopus 로고    scopus 로고
    • Mass flux schemes and connection to shock instability
    • M.-S. Liou, Mass flux schemes and connection to shock instability, J. Comp. Phys. 160 (2000) 623-648.
    • (2000) J. Comp. Phys. , vol.160 , pp. 623-648
    • Liou, M.-S.1
  • 41
    • 85062636254 scopus 로고
    • Turbulence modeling methods for the compressible Navier-Stokes equations
    • AIAA Paper No. 83-1693
    • T.J. Coakley, Turbulence modeling methods for the compressible Navier-Stokes equations, AIAA Paper No. 83-1693, 1983.
    • (1983)
    • Coakley, T.J.1
  • 42
    • 0021938112 scopus 로고
    • A comparison between implicit and hybrid methods for the calculation of steady and unsteady inlet flows
    • AIAA Paper No. 85-1125
    • T.J. Coakley, T. Hsieh, A comparison between implicit and hybrid methods for the calculation of steady and unsteady inlet flows, AIAA Paper No. 85-1125, 1985.
    • (1985)
    • Coakley, T.J.1    Hsieh, T.2
  • 43
    • 84997707960 scopus 로고
    • An efficient multigrid acceleration for solving the 3-D incompressible Navier-Stokes equations in generalized curvilinear coordinates
    • AIAA Paper No. 94-2335
    • C. Sheng, L.K. Taylor, D.L. Whitfield, An efficient multigrid acceleration for solving the 3-D incompressible Navier-Stokes equations in generalized curvilinear coordinates, AIAA Paper No. 94-2335, 1994.
    • (1994)
    • Sheng, C.1    Taylor, L.K.2    Whitfield, D.L.3
  • 44
    • 85190236899 scopus 로고    scopus 로고
    • Parallel efficiency in implicit multiblock, multigrid simulations, with application to submarine maneuvering
    • AIAA Paper 2001-1093
    • R. Pankajakshan, L.K. Taylor, C. Sheng, M.J. Jiang, W.R. Briley, D.L. Whitfield, Parallel efficiency in implicit multiblock, multigrid simulations, with application to submarine maneuvering, AIAA Paper 2001-1093, 2001.
    • (2001)
    • Pankajakshan, R.1    Taylor, L.K.2    Sheng, C.3    Jiang, M.J.4    Briley, W.R.5    Whitfield, D.L.6
  • 48
    • 0003600635 scopus 로고
    • Aerofoil RAE 2822 - Pressure distributions and boundary layer and wake measurements
    • AGARD-AR-138
    • P.J. Cook, M.A. McDonald, M.C.P. Firmin, Aerofoil RAE 2822 - Pressure distributions and boundary layer and wake measurements, AGARD-AR-138, 1979.
    • (1979)
    • Cook, P.J.1    McDonald, M.A.2    Firmin, M.C.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.