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Volumn 191, Issue 2, 2003, Pages 542-566

Higher-order time integration schemes for the unsteady Navier-Stokes equations on unstructured meshes

Author keywords

Jacobian free Newton; Multigrid; Navier Stokes; Runge Kutta methods; Unstructured

Indexed keywords

APPROXIMATION ALGORITHMS; EFFICIENCY; LEAST SQUARES APPROXIMATIONS; LINEAR SYSTEMS; NAVIER STOKES EQUATIONS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; VISCOUS FLOW;

EID: 0242299306     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00330-9     Document Type: Article
Times cited : (67)

References (26)
  • 1
    • 0009615458 scopus 로고    scopus 로고
    • Time integration schemes for the unsteady Navier-Stokes equations
    • AIAA Paper 2001-2612
    • H. Bijl, M.H. Carpenter, V.N. Vatsa, Time integration schemes for the unsteady Navier-Stokes equations, AIAA Paper 2001-2612.
    • Bijl, H.1    Carpenter, M.H.2    Vatsa, V.N.3
  • 2
    • 0004261656 scopus 로고    scopus 로고
    • Time-dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings
    • AIAA Paper 91-1596
    • A. Jameson, Time-dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings, AIAA Paper 91-1596.
    • Jameson, A.1
  • 4
    • 0039929030 scopus 로고
    • Implicit schemes and parallel computing in unstructured grid CFD
    • VKI Lecture Series VKI-LS 1995-02
    • V. Venkatakrishnan, Implicit schemes and parallel computing in unstructured grid CFD, in: VKI Lecture Series VKI-LS 1995-02, 1995.
    • (1995)
    • Venkatakrishnan, V.1
  • 5
    • 0036156397 scopus 로고    scopus 로고
    • An assessment of linear versus non-linear multigrid methods for unstructured mesh solvers
    • D.J. Mavriplis, An assessment of linear versus non-linear multigrid methods for unstructured mesh solvers, Journal of Computational Physics 175 (1) (2002) 302-325.
    • (2002) Journal of Computational Physics , vol.175 , Issue.1 , pp. 302-325
    • Mavriplis, D.J.1
  • 6
    • 0032595435 scopus 로고    scopus 로고
    • Directional agglomeration multigrid techniques for high-Reynolds number viscous flows
    • D.J. Mavriplis, Directional agglomeration multigrid techniques for high-Reynolds number viscous flows, AIAA Journal 37 (10) (1999) 1222-1230.
    • (1999) AIAA Journal , vol.37 , Issue.10 , pp. 1222-1230
    • Mavriplis, D.J.1
  • 7
    • 0242371663 scopus 로고    scopus 로고
    • A special stability problem for linear multistep methods
    • BIT 3
    • G. Dahlquist, A special stability problem for linear multistep methods, BIT 3.
    • Dahlquist, G.1
  • 8
    • 0003815042 scopus 로고    scopus 로고
    • Additive Runge-Kutta schemes for convection-diffusion-reaction equations
    • Tech. Rep. NASA/TM-2001-211038, NASA Langley Research Center
    • C.A. Kennedy, M.H. Carpenter, Additive Runge-Kutta schemes for convection-diffusion-reaction equations, Tech. Rep. NASA/TM-2001-211038, NASA Langley Research Center, 2001.
    • (2001)
    • Kennedy, C.A.1    Carpenter, M.H.2
  • 10
    • 0000109908 scopus 로고    scopus 로고
    • Physics-based precondtioning and the Newton-Krylov method for the non-equilibrium radiation diffusion
    • V.A. Mousseau, D.A. Knoll, W.J. Rider, Physics-based precondtioning and the Newton-Krylov method for the non-equilibrium radiation diffusion, Journal of Computational Physics 160 (2000) 743-765.
    • (2000) Journal of Computational Physics , vol.160 , pp. 743-765
    • Mousseau, V.A.1    Knoll, D.A.2    Rider, W.J.3
  • 13
    • 0000841777 scopus 로고    scopus 로고
    • Multigrid strategies for viscous flow solvers on anisotrpic unstructured meshes
    • D.J. Mavriplis, Multigrid strategies for viscous flow solvers on anisotrpic unstructured meshes, Journal of Computational Physics 145 (1) (1998) 141-165.
    • (1998) Journal of Computational Physics , vol.145 , Issue.1 , pp. 141-165
    • Mavriplis, D.J.1
  • 14
    • 0003420204 scopus 로고
    • Multigrid techniques for unstructured meshes
    • no. 1995-02 in VKI-LS VKI Lecture Series
    • D.J. Mavriplis, Multigrid techniques for unstructured meshes, in: VKI Lecture Series, no. 1995-02 in VKI-LS, 1995.
    • (1995)
    • Mavriplis, D.J.1
  • 15
    • 0022566425 scopus 로고
    • A multigrid method based on the additive correction strategy
    • B.R. Hutchinson, G.D. Raithby, A multigrid method based on the additive correction strategy, Numerical Heat Transfer 9 (1986) 511-537.
    • (1986) Numerical Heat Transfer , vol.9 , pp. 511-537
    • Hutchinson, B.R.1    Raithby, G.D.2
  • 16
    • 0004308010 scopus 로고    scopus 로고
    • Design of optimally-smoothing multistage schemes for the Euler equations
    • AIAA Paper 89-1933
    • B.V. Leer, C.H. Tai, K.G. Powell, Design of optimally-smoothing multistage schemes for the Euler equations, AIAA Paper 89-1933.
    • Leer, B.V.1    Tai, C.H.2    Powell, K.G.3
  • 17
    • 84982318300 scopus 로고    scopus 로고
    • Preconditioning-squared methods for multidimensional aerodynamics
    • Conference, Snowmass, CO, June
    • E. Turkel, Preconditioning-squared methods for multidimensional aerodynamics, in: Proceedings of the 13th AIAA CFD, Conference, Snowmass, CO, June, 1997, pp. 856-866.
    • (1997) Proceedings of the 13th AIAA CFD , pp. 856-866
    • Turkel, E.1
  • 20
    • 0242371660 scopus 로고    scopus 로고
    • third ed., Johns Hopkins University Press, Baltimore, MD (Chapter 10)
    • G.H. Golub, C.F.V. Loan, Matrix Computations, third ed., Johns Hopkins University Press, Baltimore, MD, 1996, pp. 508-513 (Chapter 10).
    • (1996) Matrix Computations , pp. 508-513
    • Golub, G.H.1    Loan, C.F.V.2
  • 23
    • 0000494334 scopus 로고    scopus 로고
    • A series in 1 Re to represent the Strouhal-Reynolds number relationship of the cylinder wake
    • C. Williamson, G. Brown, A series in 1 Re to represent the Strouhal-Reynolds number relationship of the cylinder wake, Journal of Fluids and Structures 12 (1998) 1073-1085.
    • (1998) Journal of Fluids and Structures , vol.12 , pp. 1073-1085
    • Williamson, C.1    Brown, G.2
  • 24
    • 0031378261 scopus 로고    scopus 로고
    • Nonlinear dynamics and pattern formation in turbulent wake transition
    • R. Henderson, Nonlinear dynamics and pattern formation in turbulent wake transition, Journal of Fluid Mechanics 352 (1997) 65-112.
    • (1997) Journal of Fluid Mechanics , vol.352 , pp. 65-112
    • Henderson, R.1
  • 25
    • 0242276896 scopus 로고    scopus 로고
    • Large eddy and detached eddy simulations using an unstructured multigrid solver
    • C.L. Liu, L. Sakell, T. Beutner (Eds.), DNS/LES-Progress and Challenges
    • D.J. Mavriplis, J. Pelaez, O. Kandil, Large eddy and detached eddy simulations using an unstructured multigrid solver, in: C.L. Liu, L. Sakell, T. Beutner (Eds.), DNS/LES-Progress and Challenges. Proc. of the Third AFOSR Int. Conf. on DNS/LES, 2001, pp. 461-470.
    • (2001) Proc. of the Third AFOSR Int. Conf. on DNS/LES , pp. 461-470
    • Mavriplis, D.J.1    Pelaez, J.2    Kandil, O.3
  • 26
    • 0003420202 scopus 로고    scopus 로고
    • On convergence acceleration techniques for unstructured meshes
    • AIAA Paper 98-2966, Presented at the 29th AIAA Fluid Dynamics Conference, Albuquerque, NM, June
    • D.J. Mavriplis, On convergence acceleration techniques for unstructured meshes, AIAA Paper 98-2966, Presented at the 29th AIAA Fluid Dynamics Conference, Albuquerque, NM, June 1998.
    • (1998)
    • Mavriplis, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.