메뉴 건너뛰기




Volumn 11, Issue , 2006, Pages 8255-8269

A Newton-Krylov algorithm with a loosely-coupled turbulence model for aerodynamic flows

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; ALGORITHMS; DIGITAL STORAGE; GRID COMPUTING; NAVIER STOKES EQUATIONS; VISCOSITY;

EID: 34250852791     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-691     Document Type: Conference Paper
Times cited : (3)

References (46)
  • 1
    • 0025431260 scopus 로고
    • Calculations of viscous flow with separation using Newton's method and direct solver
    • van Dam, C. P., M. Hafez and J. Ahmad, "Calculations of viscous flow with separation using Newton's method and direct solver," AIAA Journal, Vol. 28, No. 5, 1990, pp. 937-939.
    • (1990) AIAA Journal , vol.28 , Issue.5 , pp. 937-939
    • van Dam, C.P.1    Hafez, M.2    Ahmad, J.3
  • 2
    • 0024705444 scopus 로고    scopus 로고
    • Venkatakrishnan, V., Newton solution of inviscid and viscous problems, AIAA Journal, 27, No. 7, 1989, pp. 885-891. See also AIAA Paper 88-813.
    • Venkatakrishnan, V., "Newton solution of inviscid and viscous problems," AIAA Journal, Vol. 27, No. 7, 1989, pp. 885-891. See also AIAA Paper 88-813.
  • 3
    • 0000048673 scopus 로고
    • GMRES: A generalized minimum residual algorithm for solving non-symmetric linear systems
    • Saad, Y. and M. H. Schultz, "GMRES: A generalized minimum residual algorithm for solving non-symmetric linear systems," SIAM J. Sci. Stat. Computing, Vol. 7, No. 3, 1986, pp. 856-869.
    • (1986) SIAM J. Sci. Stat. Computing , vol.7 , Issue.3 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 4
    • 0026617150 scopus 로고
    • Newton's method solver for high-speed viscous separated flow fields
    • Orkwis, P. D. and D. S. McRae, "Newton's method solver for high-speed viscous separated flow fields," AIAA Journal, Vol. 30, No. 1, 1992, pp. 78-85.
    • (1992) AIAA Journal , vol.30 , Issue.1 , pp. 78-85
    • Orkwis, P.D.1    McRae, D.S.2
  • 5
    • 3242822527 scopus 로고    scopus 로고
    • A comparison of numerical and analytical Jacobians
    • Vanden, K. J. and P. D. Orkwis, "A comparison of numerical and analytical Jacobians," AIAA Journal, Vol. 34, No. 6, 1996, pp. 1125-1130.
    • (1996) AIAA Journal , vol.34 , Issue.6 , pp. 1125-1130
    • Vanden, K.J.1    Orkwis, P.D.2
  • 6
    • 0031106412 scopus 로고    scopus 로고
    • Nonlinear iteration methods for high speed laminar compressible Navier-Stokes equations
    • Forsyth, P. A. and H. Jiang, "Nonlinear iteration methods for high speed laminar compressible Navier-Stokes equations," Computers and Fluids, Vol. 26, No. 3, 1997, pp. 249-268.
    • (1997) Computers and Fluids , vol.26 , Issue.3 , pp. 249-268
    • Forsyth, P.A.1    Jiang, H.2
  • 9
    • 0027988926 scopus 로고
    • A one-equation turbulence model for aerodynamic flows
    • Chatillon, France: ONERA
    • Spalart, P. R. and S. R. Allmaras, "A one-equation turbulence model for aerodynamic flows," in La Recherche Aérospatiale, no. 1, pp. 5-21, Chatillon, France: ONERA, 1994.
    • (1994) La Recherche Aérospatiale , Issue.1 , pp. 5-21
    • Spalart, P.R.1    Allmaras, S.R.2
  • 10
    • 85190397157 scopus 로고    scopus 로고
    • Anderson, W. K., R. D. Rausch and D. L. Bonhaus, Implicit/multigrid algorithms for incompressible turbulent flows on unstructured grids, Journal of Computational Physics, 128, No. 2, 1996, pp. 391-408. See also AIAA Paper 95-1740.
    • Anderson, W. K., R. D. Rausch and D. L. Bonhaus, "Implicit/multigrid algorithms for incompressible turbulent flows on unstructured grids," Journal of Computational Physics, Vol. 128, No. 2, 1996, pp. 391-408. See also AIAA Paper 95-1740.
  • 11
    • 0035280822 scopus 로고    scopus 로고
    • Geuzaine, P., Newton-Krylov strategy for compressible turbulent flows on unstructured meshes, AIAA Journal, 39, No. 3, 2001, pp. 528-531. See also AIAA Paper 99-3341.
    • Geuzaine, P., "Newton-Krylov strategy for compressible turbulent flows on unstructured meshes," AIAA Journal, Vol. 39, No. 3, 2001, pp. 528-531. See also AIAA Paper 99-3341.
  • 12
    • 84897734986 scopus 로고    scopus 로고
    • Start-up issues in a Newton-Krylov algorithm for turbulent aerodynamic flows
    • AIAA Paper 2003-3708, June
    • Chisholm, T. T. and D. W. Zingg, "Start-up issues in a Newton-Krylov algorithm for turbulent aerodynamic flows," AIAA Paper 2003-3708, June 2003.
    • (2003)
    • Chisholm, T.T.1    Zingg, D.W.2
  • 13
    • 2942754177 scopus 로고    scopus 로고
    • Comparison of operators for Newton-Krylov method for solving compressible flows on unstructured meshes
    • AIAA Paper 2004-743
    • Smith, T., R. Hooper, C. Ober, A. Lorber and J. Shadid, "Comparison of operators for Newton-Krylov method for solving compressible flows on unstructured meshes," AIAA Paper 2004-743, 2004.
    • (2004)
    • Smith, T.1    Hooper, R.2    Ober, C.3    Lorber, A.4    Shadid, J.5
  • 14
    • 3242822328 scopus 로고    scopus 로고
    • Fast Newton-Krylov method for unstructured grids
    • Blanco, M. and D. W. Zingg, "Fast Newton-Krylov method for unstructured grids," AIAA Journal, Vol. 36, No. 4, 1998, pp. 607-612.
    • (1998) AIAA Journal , vol.36 , Issue.4 , pp. 607-612
    • Blanco, M.1    Zingg, D.W.2
  • 15
    • 0014612601 scopus 로고
    • Reducing the bandwidth of sparse symmetric matrices
    • Cuthill, E. and J. McKee, "Reducing the bandwidth of sparse symmetric matrices," in Proc. 24th Nat. Conf. ACM, pp. 157-172, 1969.
    • (1969) Proc. 24th Nat. Conf. ACM , pp. 157-172
    • Cuthill, E.1    McKee, J.2
  • 16
    • 0016940739 scopus 로고
    • Comparative analysis of the Cuthill-McKee and the reverse Cuthill-McKee ordering algorithms for sparse matrices
    • Liu, W.-H. and A. H. Sherman, "Comparative analysis of the Cuthill-McKee and the reverse Cuthill-McKee ordering algorithms for sparse matrices," SIAM Journal of Numerical Analysis, Vol. 13, No. 2, 1976.
    • (1976) SIAM Journal of Numerical Analysis , vol.13 , Issue.2
    • Liu, W.-H.1    Sherman, A.H.2
  • 17
    • 0016939622 scopus 로고
    • An algorithm for reducing the bandwidth and profile of a sparse matrix
    • Gibbs, N. E., W. G. Poole, Jr. and P. R. Stockmeyer, "An algorithm for reducing the bandwidth and profile of a sparse matrix," SIAM J. Num. Anal., Vol. 13, 1976, pp. 236-249.
    • (1976) SIAM J. Num. Anal , vol.13 , pp. 236-249
    • Gibbs, N.E.1    Poole Jr., W.G.2    Stockmeyer, P.R.3
  • 18
    • 34250824792 scopus 로고    scopus 로고
    • Balay, S., W. Gropp, L. C. McInnes and B. Smith, PETSc 2.0 users' manual, Argonne National Laboratory ANL-95/11, 1998. Revision 2.0.22.
    • Balay, S., W. Gropp, L. C. McInnes and B. Smith, "PETSc 2.0 users' manual," Argonne National Laboratory ANL-95/11, 1998. Revision 2.0.22.
  • 19
    • 84966225158 scopus 로고
    • An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
    • Meijerink, J. A. and H. A. van der Vorst, "An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix," Mathematics of Computation, Vol. 31, No. 148, 1977.
    • (1977) Mathematics of Computation , vol.31 , Issue.148
    • Meijerink, J.A.1    van der Vorst, H.A.2
  • 20
    • 0003446472 scopus 로고
    • New York: McGraw-Hill Book Company, Inc, 4 ed
    • Schlichting, H., Boundary Layer Theory. New York: McGraw-Hill Book Company, Inc., 4 ed., 1960.
    • (1960) Boundary Layer Theory
    • Schlichting, H.1
  • 22
    • 0022751897 scopus 로고
    • Far-field boundary conditions for transonic lifting solutions to the Euler equations
    • Thomas, J. L. and M. D. Salas, "Far-field boundary conditions for transonic lifting solutions to the Euler equations," AIAA Journal, Vol. 24, 1986, pp. 1074-1080.
    • (1986) AIAA Journal , vol.24 , pp. 1074-1080
    • Thomas, J.L.1    Salas, M.D.2
  • 25
    • 0004190227 scopus 로고
    • AGARD Advisory Report #303. Neuilly-Sur-Seine, France: North Atlantic Treaty Organization, August, 2
    • Various, "A selection of experimental test cases for the validation of CFD codes," AGARD Advisory Report #303. Neuilly-Sur-Seine, France: North Atlantic Treaty Organization, August 1994. 2 volumes.
    • (1994) A selection of experimental test cases for the validation of CFD codes
    • Various1
  • 26
    • 34250845963 scopus 로고    scopus 로고
    • Cook, P. H., M. A. McDonald, and M. C. P. Firmin, Airfoil RAE 2822 - pressure distributions, and boundary layer wake measurement, in Experimental Data Base for Computer Program Assessment: Report, of the Fluid Dynamics Panel Working Group 04 (J. Barche, ed.), chapter A/6 in AGARD Advisory Report #138. Neuilly-Sur-Seine, France: North Atlantic Treaty Organization, May 1979.
    • Cook, P. H., M. A. McDonald, and M. C. P. Firmin, "Airfoil RAE 2822 - pressure distributions, and boundary layer wake measurement," in Experimental Data Base for Computer Program Assessment: Report, of the Fluid Dynamics Panel Working Group 04 (J. Barche, ed.), chapter A/6 in AGARD Advisory Report #138. Neuilly-Sur-Seine, France: North Atlantic Treaty Organization, May 1979.
  • 27
    • 0003339438 scopus 로고
    • Measurements on a two-dimensional aerofoil with high-lift devices
    • M. Burt, ed, France: North Atlantic Treaty Organization, Aug
    • Moir, I. R. M., "Measurements on a two-dimensional aerofoil with high-lift devices," in A Selection of Experimental Test Cases for the Validation of CFD Codes (M. Burt, ed.), Neuilly-Sur-Seine, France: North Atlantic Treaty Organization, Aug. 1994.
    • (1994) A Selection of Experimental Test Cases for the Validation of CFD Codes
    • Moir, I.R.M.1
  • 28
    • 34250883403 scopus 로고    scopus 로고
    • On the accuracy of viscous airfoil computations using solution-adaptive unstructured grids
    • AIAA Paper 97-329, Jan
    • Walsh, P. C. and D. W. Zingg, "On the accuracy of viscous airfoil computations using solution-adaptive unstructured grids," AIAA Paper 97-329, Jan. 1997.
    • (1997)
    • Walsh, P.C.1    Zingg, D.W.2
  • 30
    • 0006563675 scopus 로고
    • Steiner triangulation for isotropic and stretched elements
    • AIAA Paper 95-213, Jan
    • Earth, T. J., "Steiner triangulation for isotropic and stretched elements," AIAA Paper 95-213, Jan. 1995.
    • (1995)
    • Earth, T.J.1
  • 31
    • 0023960780 scopus 로고
    • A method for generating irregular computational grids in multiply connected planar domains
    • Weatherill, N. P., "A method for generating irregular computational grids in multiply connected planar domains," International Journal for Numerical Methods in Fluids, Vol. 8, 1988, pp. 181-197.
    • (1988) International Journal for Numerical Methods in Fluids , vol.8 , pp. 181-197
    • Weatherill, N.P.1
  • 32
    • 34249706069 scopus 로고    scopus 로고
    • An efficient Newton-GMRES solver for aerodynamic computations
    • AIAA Paper 97-1955
    • Pueyo, A. and D. W. Zingg, "An efficient Newton-GMRES solver for aerodynamic computations," AIAA Paper 97-1955, 1997.
    • (1997)
    • Pueyo, A.1    Zingg, D.W.2
  • 34
    • 0032207965 scopus 로고    scopus 로고
    • Efficient Newton-Krylov solver for aerodynamic computations
    • Pueyo, A. and D. W. Zingg, "Efficient Newton-Krylov solver for aerodynamic computations," AIAA Journal, Vol. 36, No. 11, 1998, pp. 1991-1997.
    • (1998) AIAA Journal , vol.36 , Issue.11 , pp. 1991-1997
    • Pueyo, A.1    Zingg, D.W.2
  • 35
    • 34250824166 scopus 로고    scopus 로고
    • Woodward, D. S. and D. E. Lean, Where is high-lift today? A review of past UK research programmes, in High-Lift System Aerodynamics, Neuilly Sur Seine, France: NATO AGARD, 1993. Conference Proceedings 515: Papers presented and discussions recorded at the 71st Fluid Dynamics Panel Meeting and at the Symposium held in Banff, Alberta, Canada, from 5th - 8th October 1992.
    • Woodward, D. S. and D. E. Lean, "Where is high-lift today? A review of past UK research programmes," in High-Lift System Aerodynamics, Neuilly Sur Seine, France: NATO AGARD, 1993. Conference Proceedings 515: Papers presented and discussions recorded at the 71st Fluid Dynamics Panel Meeting and at the Symposium held in Banff, Alberta, Canada, from 5th - 8th October 1992.
  • 36
    • 34249750250 scopus 로고    scopus 로고
    • Computer code validation challenge - multiple element airfoil
    • Ottawa, Ontario: CFD Society of Canada, June 2-6
    • Fejtek, I. G., "Computer code validation challenge - multiple element airfoil," in Proceedings of the Fourth Annual Conference of the CFD Society of Canada, pp. 733-735, Ottawa, Ontario: CFD Society of Canada, June 2-6 1996.
    • (1996) Proceedings of the Fourth Annual Conference of the CFD Society of Canada , pp. 733-735
    • Fejtek, I.G.1
  • 38
    • 34250852975 scopus 로고    scopus 로고
    • Wong, P. and D. W. Zingg, A Newton-Krylov algorithm for turbulent aerodynamic flows on unstructured grids, Canadian Aeronautics and Space Institute, Apr. 2003. CASI 50th Annual Aerodynamics Conference Symposium, Montreal.
    • Wong, P. and D. W. Zingg, "A Newton-Krylov algorithm for turbulent aerodynamic flows on unstructured grids," Canadian Aeronautics and Space Institute, Apr. 2003. CASI 50th Annual Aerodynamics Conference Symposium, Montreal.
  • 39
    • 34250825429 scopus 로고    scopus 로고
    • Thibert, J. J., M. Grandjacques and L. H. Ohman, NACA 0012 airfoil, in Experimental Data Base for Computer Program Assessment: Report of the Fluid Dynamics Panel Working Group 04 (J. Barche, ed.), chapter A/1 in AGARD Advisory Report #138. Neuilly-Sur-Seine, France: North Atlantic Treaty Organization, May 1979.
    • Thibert, J. J., M. Grandjacques and L. H. Ohman, "NACA 0012 airfoil," in Experimental Data Base for Computer Program Assessment: Report of the Fluid Dynamics Panel Working Group 04 (J. Barche, ed.), chapter A/1 in AGARD Advisory Report #138. Neuilly-Sur-Seine, France: North Atlantic Treaty Organization, May 1979.
  • 40
    • 0342716744 scopus 로고    scopus 로고
    • Multilevel Newton-Krylov algorithms for computing compressible flows on unstructured meshes
    • AIAA Paper 99-3341
    • Geuzaine, P., I. Lepot, F. Meers and J.-A. Essers, "Multilevel Newton-Krylov algorithms for computing compressible flows on unstructured meshes," AIAA Paper 99-3341, 1999.
    • (1999)
    • Geuzaine, P.1    Lepot, I.2    Meers, F.3    Essers, J.-A.4
  • 41
    • 0003851683 scopus 로고
    • Boundary layer measurements on a two-dimensional wing with flap
    • January
    • van den Berg, B., "Boundary layer measurements on a two-dimensional wing with flap," NLR TR 79009 U, January 1979.
    • (1979) NLR TR 79009 U
    • van den Berg, B.1
  • 42
    • 34250865698 scopus 로고    scopus 로고
    • Rizzi, A. and H. Viviand, Collective comparison of the solutions to the workshop problems, in Numerical methods for the computation of inviscid transonic flows with shock waves: A GAMM workshop, 3 of Notes on numerical fluid mechanics, Braunschweig, Wiesbaden: Friedrich Vieweg & Son, 1981.
    • Rizzi, A. and H. Viviand, "Collective comparison of the solutions to the workshop problems," in Numerical methods for the computation of inviscid transonic flows with shock waves: A GAMM workshop, Vol. 3 of Notes on numerical fluid mechanics, Braunschweig, Wiesbaden: Friedrich Vieweg & Son, 1981.
  • 43
    • 34250843866 scopus 로고    scopus 로고
    • Various, Test cases for inviscid flow field methods: Report of fluid dynamics panel working group 07, AGARD Advisory Report #211. Neuilly-Sur-Seine, France: North Atlantic Treaty Organization, May 1985.
    • Various, "Test cases for inviscid flow field methods: Report of fluid dynamics panel working group 07," AGARD Advisory Report #211. Neuilly-Sur-Seine, France: North Atlantic Treaty Organization, May 1985.
  • 44
    • 34250848375 scopus 로고    scopus 로고
    • Bristeau, M. O. et al., Introduction, in Numerical Simulation of Compressible Navier-Stokes Flows: A GAMM Workshop (M. O. Bristeau, R. Glowinski, J. Periaux and H. Viviand, ed.), Notes on numerical fluid mechanics, Braunschweig, Wiesbaden: Friedrich Vieweg & Sohn Publishing, 1987.
    • Bristeau, M. O. et al., "Introduction," in Numerical Simulation of Compressible Navier-Stokes Flows: A GAMM Workshop (M. O. Bristeau, R. Glowinski, J. Periaux and H. Viviand, ed.), Notes on numerical fluid mechanics, Braunschweig, Wiesbaden: Friedrich Vieweg & Sohn Publishing, 1987.
  • 45
    • 0003221211 scopus 로고
    • Two-dimensional aerodynamic characteristics of the NACA 0012 airfoil in the Langley 8-foot transonic pressure tunnel
    • Harris, C. D., "Two-dimensional aerodynamic characteristics of the NACA 0012 airfoil in the Langley 8-foot transonic pressure tunnel," NASA TM 81927, 1981.
    • (1981) NASA TM , vol.81927
    • Harris, C.D.1
  • 46
    • 0024144053 scopus 로고    scopus 로고
    • Holst, T. L., Viscous transonic airfoil workshop: Compendium of results, Journal of Aircraft, 25, No. 12, 1988. See also AIAA Paper 87-1460.
    • Holst, T. L., "Viscous transonic airfoil workshop: Compendium of results," Journal of Aircraft, Vol. 25, No. 12, 1988. See also AIAA Paper 87-1460.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.