메뉴 건너뛰기




Volumn , Issue , 2009, Pages

A high-order parallel Newton-Krylov flow solver for the Euler equations

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; EULER EQUATIONS;

EID: 77958485895     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2009-3657     Document Type: Conference Paper
Times cited : (11)

References (70)
  • 4
    • 85086489432 scopus 로고    scopus 로고
    • Multipoint and multi-objective aerodynamic shape optimization
    • Zingg, D. W., Nemec, M., and Pulliam, T. H., "Multipoint and Multi-Objective Aerodynamic Shape Optimization," AIAA Journal, Vol. 42, 2002, pp. 1057-1065.
    • (2002) AIAA Journal , vol.42 , pp. 1057-1065
    • Zingg, D.W.1    Nemec, M.2    Pulliam, T.H.3
  • 7
    • 33751232293 scopus 로고    scopus 로고
    • Aerodynamic optimization under a range of operating conditions
    • DOI 10.2514/1.23658
    • Zingg, D. W. and Elias, S., "On Aerodynamic Optimization Under a Range of Operating Conditions," AIAA Journal, Vol. 44, 2006, pp. 2787-2792. (Pubitemid 44788076)
    • (2006) AIAA Journal , vol.44 , Issue.11 , pp. 2787-2792
    • Zingg, D.W.1    Elias, S.2
  • 9
    • 3042684994 scopus 로고    scopus 로고
    • Multipoint and multi-objective aerodynamics shape optimization
    • Nemec, M. and Zingg, D., "Multipoint and Multi-Objective aerodynamics shape optimization," AIAA Journal, Vol. 42, 2004, pp. 1057-1065.
    • (2004) AIAA Journal , vol.42 , pp. 1057-1065
    • Nemec, M.1    Zingg, D.2
  • 13
    • 0017995820 scopus 로고
    • Wing design by numerical optimization
    • July
    • Hicks, R. M. and Henne, P. A., "Wing design by numerical optimization," Journal of Aircraft, Vol. 15, No. 7, July 1978, pp. 407-412.
    • (1978) Journal of Aircraft , vol.15 , Issue.7 , pp. 407-412
    • Hicks, R.M.1    Henne, P.A.2
  • 14
    • 20544476549 scopus 로고
    • Aerodynamic design via control theory
    • Jameson, A., "Aerodynamic design via control theory," Journal of Scientific Computing, Vol. 3, No. 3, 1988, pp. 233-260.
    • (1988) Journal of Scientific Computing , vol.3 , Issue.3 , pp. 233-260
    • Jameson, A.1
  • 17
    • 38049071076 scopus 로고    scopus 로고
    • Effect of discretization order on preconditioning and convergence of a high-order unstructured Newton-GMRES solver for the Euler equations
    • Nejat, A. and Ollivier-Gooch, C., "Effect of discretization order on preconditioning and convergence of a high-order unstructured Newton-GMRES solver for the Euler equations," Journal of Computational Physics, Vol. 227, No. 4, 2008, pp. 2366-2386.
    • (2008) Journal of Computational Physics , vol.227 , Issue.4 , pp. 2366-2386
    • Nejat, A.1    Ollivier-Gooch, C.2
  • 18
    • 38049050745 scopus 로고    scopus 로고
    • A high-order accurate unstructured finite volume Newton-Krylov algorithm for inviscid compressible flows
    • Nejat, A. and Ollivier-Gooch, C., "A high-order accurate unstructured finite volume Newton-Krylov algorithm for inviscid compressible flows," Journal of Computational Physics, Vol. 227, No. 4, 2008, pp. 2582-2609.
    • (2008) Journal of Computational Physics , vol.227 , Issue.4 , pp. 2582-2609
    • Nejat, A.1    Ollivier-Gooch, C.2
  • 22
    • 40949107441 scopus 로고    scopus 로고
    • An implicit high order finite volume scheme for the solution of 3D Navier-Stokes equations with new discretization of diffusive terms
    • Vaassen, J. M., Vigneron, D., and Essers, J. A., "An implicit high order finite volume scheme for the solution of 3D Navier-Stokes equations with new discretization of diffusive terms," Journal of Computational and Applied Mathematics, Vol. 215, No. 2, 2008, pp. 595-601.
    • (2008) Journal of Computational and Applied Mathematics , vol.215 , Issue.2 , pp. 595-601
    • Vaassen, J.M.1    Vigneron, D.2    Essers, J.A.3
  • 23
    • 34547538932 scopus 로고    scopus 로고
    • A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations
    • Fidkowski, K. J. and Darmofal, D. L., "A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations," Journal of Computational Physics, Vol. 225, No. 2, 2007, pp. 1653-1672.
    • (2007) Journal of Computational Physics , vol.225 , Issue.2 , pp. 1653-1672
    • Fidkowski, K.J.1    Darmofal, D.L.2
  • 24
    • 18344378961 scopus 로고    scopus 로고
    • P-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
    • Fidkowski, K. J., Oliver, T. A., Lu, J., and Darmofal, D. L., "p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations," Journal of Computational Physics, Vol. 207, No. 1, 2005, pp. 92-113.
    • (2005) Journal of Computational Physics , vol.207 , Issue.1 , pp. 92-113
    • Fidkowski, K.J.1    Oliver, T.A.2    Lu, J.3    Darmofal, D.L.4
  • 27
    • 0035398385 scopus 로고    scopus 로고
    • A high-order spatial discretization for turbulent aerodynamic computations
    • De Rango, S. and Zingg, D. W., "A High-Order Spatial Discretization for Turbulent Aerodynamic Computations," AIAA Journal, Vol. 39, 2001, pp. 1296-1304.
    • (2001) AIAA Journal , vol.39 , pp. 1296-1304
    • De Rango, S.1    Zingg, D.W.2
  • 29
    • 0034770145 scopus 로고    scopus 로고
    • Numerical solution of the time-domain Maxwell equations using high-accuracy finite-difference methods
    • Jurgens, H. M. and Zingg, D. W., "Numerical Solution of the Time-Domain Maxwell Equations Using High-Accuracy Finite-Difference Methods," SIAM Journal on Scientific Computing, Vol. 22, No. 5, 2001, pp. 1675-1696.
    • (2001) SIAM Journal on Scientific Computing , vol.22 , Issue.5 , pp. 1675-1696
    • Jurgens, H.M.1    Zingg, D.W.2
  • 30
    • 0035075912 scopus 로고    scopus 로고
    • Comparison of high-accuracy finite-difference schemes for linear wave propagation
    • Zingg, D. W., "Comparison of High-Accuracy Finite-Difference Schemes for Linear Wave Propagation," SIAM Journal on Scientific Computing, Vol. 22, No. 2, 2000, pp. 476-502.
    • (2000) SIAM Journal on Scientific Computing , vol.22 , Issue.2 , pp. 476-502
    • Zingg, D.W.1
  • 31
    • 0001344224 scopus 로고    scopus 로고
    • High-accuracy finite-difference schemes for linear wave propagation
    • Zingg, D. W., Lomax, H., and Jurgens, H., "High-Accuracy Finite-Difference Schemes for Linear Wave Propagation," SIAM Journal on Scientific Computing, Vol. 17, No. 2, 1996, pp. 328-346.
    • (1996) SIAM Journal on Scientific Computing , vol.17 , Issue.2 , pp. 328-346
    • Zingg, D.W.1    Lomax, H.2    Jurgens, H.3
  • 32
    • 34447250344 scopus 로고    scopus 로고
    • A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
    • Svärd, M., Carpenter, M. H., and Nordstrom, J., "A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions," Journal of Computational Physics, Vol. 225, No. 1, 2007, pp. 1020-1038.
    • (2007) Journal of Computational Physics , vol.225 , Issue.1 , pp. 1020-1038
    • Svärd, M.1    Carpenter, M.H.2    Nordstrom, J.3
  • 33
    • 33845251341 scopus 로고    scopus 로고
    • High-order accurate computations for unsteady aerodynamics
    • March
    • Mattsson, K., Svard, M., Carpenter, M., and Nordstrom, J., "High-order accurate computations for unsteady aerodynamics," Computers & Fluids, Vol. 36, No. 3, March 2007, pp. 636-649.
    • (2007) Computers & Fluids , vol.36 , Issue.3 , pp. 636-649
    • Mattsson, K.1    Svard, M.2    Carpenter, M.3    Nordstrom, J.4
  • 36
    • 0036743716 scopus 로고    scopus 로고
    • On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
    • Visbal, M. R. and Gaitonde, D. V., "On the use of higher-order finite-difference schemes on curvilinear and deforming meshes," Journal of Computational Physics, Vol. 181, No. 1, 2002, pp. 155-185.
    • (2002) Journal of Computational Physics , vol.181 , Issue.1 , pp. 155-185
    • Visbal, M.R.1    Gaitonde, D.V.2
  • 37
    • 29044433670 scopus 로고    scopus 로고
    • Multi-block simulations in general relativity: High-order discretizations, numerical stability and applications
    • Lehner, L., Reula, O., and Tiglio, M., "Multi-block simulations in general relativity: high-order discretizations, numerical stability and applications," Classical and Quantum Gravity, Vol. 22, No. 24, 2005, pp. 5283-5321.
    • (2005) Classical and Quantum Gravity , vol.22 , Issue.24 , pp. 5283-5321
    • Lehner, L.1    Reula, O.2    Tiglio, M.3
  • 38
    • 34250840018 scopus 로고    scopus 로고
    • Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
    • Diener, P., Dorband, E. N., Schnetter, E., and Tiglio, M., "Optimized High-Order Derivative and Dissipation Operators Satisfying Summation by Parts, and Applications in Three-dimensional Multi-block Evolutions," Journal of Scientific Computing, Vol. 32, No. 1, 2007, pp. 109-145.
    • (2007) Journal of Scientific Computing , vol.32 , Issue.1 , pp. 109-145
    • Diener, P.1    Dorband, E.N.2    Schnetter, E.3    Tiglio, M.4
  • 39
    • 0002449864 scopus 로고
    • Summation by parts for finite difference approximations for d/dx
    • Strand, B., "Summation by parts for finite difference approximations for d/dx," Journal of Computational Physics, Vol. 110, No. 1, 1994, pp. 47-67.
    • (1994) Journal of Computational Physics , vol.110 , Issue.1 , pp. 47-67
    • Strand, B.1
  • 40
    • 4544273333 scopus 로고    scopus 로고
    • Summation by parts operators for finite difference approximations of second derivatives
    • Mattsson, K. and Nordsträom, J., "Summation by parts operators for finite difference approximations of second derivatives," Journal of Computational Physics, Vol. 199, No. 2, 2004, pp. 503-540.
    • (2004) Journal of Computational Physics , vol.199 , Issue.2 , pp. 503-540
    • Mattsson, K.1    Nordsträom, J.2
  • 41
    • 84964442545 scopus 로고
    • Summation by parts, projections, and stability I
    • Olsson, P., "Summation by parts, projections, and stability I," Mathematics of Computation, Vol. 64, No. 211, 1995, pp. 1035-1065.
    • (1995) Mathematics of Computation , vol.64 , Issue.211 , pp. 1035-1065
    • Olsson, P.1
  • 42
    • 84964442545 scopus 로고
    • Summation by parts, projections, and stability. II
    • Olsson, P., "Summation by parts, projections, and stability. II," Mathematics of Computation, Vol. 64, No. 212, 1995, pp. 1473-1493.
    • (1995) Mathematics of Computation , vol.64 , Issue.212 , pp. 1473-1493
    • Olsson, P.1
  • 43
    • 0345872005 scopus 로고    scopus 로고
    • On coordinate transformations for summation-by-parts operators
    • Sväard, M., "On Coordinate Transformations for Summation-by-Parts Operators," Journal of Scientific Computing, Vol. 20, No. 1, 2004, pp. 29-42.
    • (2004) Journal of Scientific Computing , vol.20 , Issue.1 , pp. 29-42
    • Sväard, M.1
  • 44
    • 0034273458 scopus 로고    scopus 로고
    • Numerically consistent strong conservation grid motion for finite difference schemes
    • Hixon, R., "Numerically Consistent Strong Conservation Grid Motion for Finite Difference Schemes," AIAA Journal, Vol. 38, 2000, pp. 1586-1593.
    • (2000) AIAA Journal , vol.38 , pp. 1586-1593
    • Hixon, R.1
  • 45
    • 0018529022 scopus 로고
    • Geometric conservation law and its application to flow computations on moving grids
    • Thomas, P. D. and Lombard, C. K., "Geometric Conservation Law and its Application to Flow Computations on Moving Grids," AIAA Journal., Vol. 17, 1979, pp. 1030-1037.
    • (1979) AIAA Journal , vol.17 , pp. 1030-1037
    • Thomas, P.D.1    Lombard, C.K.2
  • 48
  • 50
    • 0022882108 scopus 로고
    • Artificial dissipation models for the Euler equations
    • Pulliam, T. H., "Artificial Dissipation Models for the Euler Equations," AIAA Journal, Vol. 24, 1986, pp. 1931-1940.
    • (1986) AIAA Journal , vol.24 , pp. 1931-1940
    • Pulliam, T.H.1
  • 52
    • 0000926967 scopus 로고    scopus 로고
    • A stable and conservative interface treatment of arbitrary spatial accuracy
    • Carpenter, M. H., Nordstrom, J., and Gottlieb, D., "A stable and conservative interface treatment of arbitrary spatial accuracy," Journal of Computational Physics, Vol. 148, No. 2, 1999, pp. 341-365.
    • (1999) Journal of Computational Physics , vol.148 , Issue.2 , pp. 341-365
    • Carpenter, M.H.1    Nordstrom, J.2    Gottlieb, D.3
  • 53
    • 0001473098 scopus 로고
    • Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
    • Carpenter, M. H., Gottlieb, D., and Abarbanel, S., "Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes," Journal of Computational Physics, Vol. 111, No. 2, 1994, pp. 220-236.
    • (1994) Journal of Computational Physics , vol.111 , Issue.2 , pp. 220-236
    • Carpenter, M.H.1    Gottlieb, D.2    Abarbanel, S.3
  • 54
    • 0000915165 scopus 로고    scopus 로고
    • Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
    • Nordstrom, J. and Carpenter, M. H., "Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations," Journal of Computational Physics, Vol. 148, No. 2, 1999, pp. 621-645.
    • (1999) Journal of Computational Physics , vol.148 , Issue.2 , pp. 621-645
    • Nordstrom, J.1    Carpenter, M.H.2
  • 55
    • 55749106415 scopus 로고    scopus 로고
    • A parallel Newton-Krylov Solver for the Euler equations discretized using simultaneous approximation terms
    • Hicken, J. E. and Zingg, D. W., "A Parallel Newton-Krylov Solver for the Euler Equations Discretized Using Simultaneous Approximation Terms," AIAA Journal, Vol. 46, No. 11, 2008, pp. 2773-2786.
    • (2008) AIAA Journal , vol.46 , Issue.11 , pp. 2773-2786
    • Hicken, J.E.1    Zingg, D.W.2
  • 57
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Saad, Y., "A flexible inner-outer preconditioned GMRES algorithm," Journal of Scientific Computing, Vol. 14, No. 2, 1993, pp. 461-469.
    • (1993) Journal of Scientific Computing , vol.14 , Issue.2 , pp. 461-469
    • Saad, Y.1
  • 58
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Saad, Y. and Schultz, M. H., "GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems," Journal of Scientific Computing, Vol. 7, No. 3, 1986, pp. 856-869.
    • (1986) Journal of Scientific Computing , vol.7 , Issue.3 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 60
    • 0032207965 scopus 로고    scopus 로고
    • Efficient Newton-Krylov solver for aerodynamic computations
    • Pueyo, A. and Zingg, D. W., "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
  • 62
    • 1842829625 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, PA, USA
    • Saad, Y., Iterative Methods for Sparse Linear Systems, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 2003.
    • (2003) Iterative Methods for Sparse Linear Systems
    • Saad, Y.1
  • 67
    • 33744791474 scopus 로고    scopus 로고
    • Some observations on grid convergence
    • Aug.
    • Salas, M. D., "Some observations on grid convergence," Computers & Fluids, Vol. 35, No. 7, Aug. 2006, pp. 688-692.
    • (2006) Computers & Fluids , vol.35 , Issue.7 , pp. 688-692
    • Salas, M.D.1
  • 69
    • 0000544129 scopus 로고
    • An accuracy assessment of Cartesian-mesh approaches for the Euler equations
    • Coirier, W. J. and Powell, K. G., "An accuracy assessment of Cartesian-mesh approaches for the Euler equations," Journal of Computational Physics, Vol. 117, No. 1, 1995, pp. 121-131.
    • (1995) Journal of Computational Physics , vol.117 , Issue.1 , pp. 121-131
    • Coirier, W.J.1    Powell, K.G.2
  • 70
    • 0038347856 scopus 로고
    • Exact solutions to transonic and supersonic flows
    • Vol. AGARDograph No. 211
    • Chiocchia, G., "Exact solutions to transonic and supersonic flows," AGARD, Vol. AGARDograph No. 211, 1985.
    • (1985) AGARD
    • Chiocchia, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.