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Volumn 207, Issue 1, 2005, Pages 92-113

p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DIFFUSION IN LIQUIDS; GALERKIN METHODS; HEAT CONVECTION; NAVIER STOKES EQUATIONS; REYNOLDS EQUATION; REYNOLDS NUMBER; VISCOUS FLOW;

EID: 18344378961     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.01.005     Document Type: Article
Times cited : (350)

References (30)
  • 1
    • 0031537299 scopus 로고    scopus 로고
    • High-order accurate discountinuous finite element solution of the 2-D Euler equations
    • F. Bassi S. Rebay High-order accurate discountinuous finite element solution of the 2-D Euler equations J. Comput. Phys. 138 1997 251-285
    • (1997) J. Comput. Phys. , vol.138 , pp. 251-285
    • Bassi, F.1    Rebay, S.2
  • 2
    • 0001416032 scopus 로고    scopus 로고
    • A high-order accurate discountinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
    • F. Bassi S. Rebay A high-order accurate discountinuous finite element method for the numerical solution of the compressible Navier-Stokes equations J. Comput. Phys. 131 1997 267-279
    • (1997) J. Comput. Phys. , vol.131 , pp. 267-279
    • Bassi, F.1    Rebay, S.2
  • 3
    • 0003979117 scopus 로고    scopus 로고
    • GMRES discontinuous Galerkin solution of the compressible Navier-Stokes equations
    • K. Cockburn Shu (Ed.) Springer Berlin
    • F. Bassi S. Rebay GMRES discontinuous Galerkin solution of the compressible Navier-Stokes equations in: K. Cockburn Shu (Ed.) Discontinuous Galerkin Methods: Theory, Computation and Applications 2000 Springer Berlin 197-208
    • (2000) Discontinuous Galerkin Methods: Theory, Computation and Applications , pp. 197-208
    • Bassi, F.1    Rebay, S.2
  • 4
    • 0000076512 scopus 로고    scopus 로고
    • Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
    • B. Cockburn C.W. Shu Runge-Kutta discontinuous Galerkin methods for convection-dominated problems J. Sci. Comput. 16 3 2001 173-261
    • (2001) J. Sci. Comput. , vol.16 , Issue.3 , pp. 173-261
    • Cockburn, B.1    Shu, C.W.2
  • 5
    • 0344047770 scopus 로고
    • Solution of the Euler equations for two-dimensional transonic flow by a multigrid method
    • A. Jameson Solution of the Euler equations for two-dimensional transonic flow by a multigrid method Appl. Math. Comput. 13 1983 327-356
    • (1983) Appl. Math. Comput. , vol.13 , pp. 327-356
    • Jameson, A.1
  • 6
    • 0024045474 scopus 로고
    • Multigrid solution of the 2-D Euler equations on unstructured triangular meshes
    • D.J. Mavriplis Multigrid solution of the 2-D Euler equations on unstructured triangular meshes AIAA J. 26 1988 824-831
    • (1988) AIAA J. , vol.26 , pp. 824-831
    • Mavriplis, D.J.1
  • 7
    • 0040077385 scopus 로고
    • Analysis of semi-implicit preconditioners for multigrid solution of the 2-D compressible Navier-Stokes equations
    • AIAA Paper Number 95-1651-CP
    • S.R. Allmaras, Analysis of semi-implicit preconditioners for multigrid solution of the 2-D compressible Navier-Stokes equations, AIAA Paper Number 95-1651-CP, 1995
    • (1995)
    • Allmaras, S.R.1
  • 8
    • 0031572068 scopus 로고    scopus 로고
    • Preconditioned multigrid methods for compressible flow calculations on stretched meshes
    • N.A. Pierce M.B. Giles Preconditioned multigrid methods for compressible flow calculations on stretched meshes J. Comput. Phys. 136 1997 425-445
    • (1997) J. Comput. Phys. , vol.136 , pp. 425-445
    • Pierce, N.A.1    Giles, M.B.2
  • 9
    • 0000841777 scopus 로고    scopus 로고
    • Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
    • D.J. Mavriplis Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes J. Comput. Phys. 145 1998 141-165
    • (1998) J. Comput. Phys. , vol.145 , pp. 141-165
    • Mavriplis, D.J.1
  • 10
    • 2942574800 scopus 로고    scopus 로고
    • Two-level fourier analysis of a multigrid approach for discontinuous Galerkin discretisation
    • P. Hemker W. Hoffmann M. van Raalte Two-level fourier analysis of a multigrid approach for discontinuous Galerkin discretisation SIAM J. Sci. Comput. 25 2004 1018-1041
    • (2004) SIAM J. Sci. Comput. , vol.25 , pp. 1018-1041
    • Hemker, P.1    Hoffmann, W.2    van Raalte, M.3
  • 11
    • 2942732331 scopus 로고    scopus 로고
    • Analysis of p-multigrid for continuous and discontinuous finite element discretizations
    • AIAA Paper 2003-3989
    • B.T. Helenbrook, D.J. Mavriplis, H.A. Atkins, Analysis of p-multigrid for continuous and discontinuous finite element discretizations, AIAA Paper 2003-3989, 2003
    • (2003)
    • Helenbrook, B.T.1    Mavriplis, D.J.2    Atkins, H.A.3
  • 12
    • 31744442375 scopus 로고    scopus 로고
    • Numerical solution of the Euler equations with a multiorder discontinuous finite element method
    • Sydney, Australia
    • F. Bassi, S. Rebay, Numerical solution of the Euler equations with a multiorder discontinuous finite element method, in: Second International Conference on Computational Fluid Dynamics, Sydney, Australia, 2002
    • (2002) Second International Conference on Computational Fluid Dynamics
    • Bassi, F.1    Rebay, S.2
  • 13
    • 18344373797 scopus 로고    scopus 로고
    • A high-order discontinuous Galerkin multigrid solver for aerodynamic applications
    • Master's Thesis, Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, June
    • K. Fidkowski, A high-order discontinuous Galerkin multigrid solver for aerodynamic applications, Master's Thesis, Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, June 2004
    • (2004)
    • Fidkowski, K.1
  • 14
    • 18344391125 scopus 로고    scopus 로고
    • Multigrid solution for high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
    • Master's Thesis, Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, August
    • T.A. Oliver, Multigrid solution for high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations, Master's Thesis, Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, August 2004
    • (2004)
    • Oliver, T.A.1
  • 16
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • P.L. Roe Approximate Riemann solvers, parameter vectors, and difference schemes J. Comput. Phys. 43 1981 357-372
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 17
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • D. Arnold F. Brezzi B. Cockburn L. Marini Unified analysis of discontinuous Galerkin methods for elliptic problems SIAM J. Numer. Anal. 39 5 2002 1749-1779
    • (2002) SIAM J. Numer. Anal. , vol.39 , Issue.5 , pp. 1749-1779
    • Arnold, D.1    Brezzi, F.2    Cockburn, B.3    Marini, L.4
  • 20
    • 3142680229 scopus 로고    scopus 로고
    • Algebraic multigrid for stabilized finite element discretizations of the Navier-Stokes equations
    • T. Okusanya D. Darmofal J. Peraire Algebraic multigrid for stabilized finite element discretizations of the Navier-Stokes equations Comput. Mech. Appl. Math. Eng. 193 2004 3667-3686
    • (2004) Comput. Mech. Appl. Math. Eng. , vol.193 , pp. 3667-3686
    • Okusanya, T.1    Darmofal, D.2    Peraire, J.3
  • 21
    • 0000784858 scopus 로고
    • Spectral element multigrid I. Formulation and numerical results
    • E.M. Rønquist A.T. Patera Spectral element multigrid I. Formulation and numerical results J. Sci. Comput. 2 4 1987 389-406
    • (1987) J. Sci. Comput. , vol.2 , Issue.4 , pp. 389-406
    • Rønquist, E.M.1    Patera, A.T.2
  • 27
    • 0003542745 scopus 로고
    • An investigation of cell centered and cell vertex multigrid schemes for the Navier-Stokes equations
    • AIAA Paper Number 89-0453
    • R. Radespiel, R. Swanson, An investigation of cell centered and cell vertex multigrid schemes for the Navier-Stokes equations, AIAA Paper Number 89-0453, 1989
    • (1989)
    • Radespiel, R.1    Swanson, R.2
  • 28
    • 85021895182 scopus 로고    scopus 로고
    • Adjoint methods for PDEs: A posteriori error analysis and postprocessing by duality
    • M.B. Giles E. Süli Adjoint methods for PDEs: A posteriori error analysis and postprocessing by duality Acta Numer. 11 2002 145-236
    • (2002) Acta Numer. , vol.11 , pp. 145-236
    • Giles, M.B.1    Süli, E.2
  • 29
    • 0028315726 scopus 로고
    • An implicit upwind algorithm for computing turbulent flows on unstructured grids
    • W.K. Anderson D.L. Bonhaus An implicit upwind algorithm for computing turbulent flows on unstructured grids Comput. Fluids 23 1994 1-21
    • (1994) Comput. Fluids , vol.23 , pp. 1-21
    • Anderson, W.K.1    Bonhaus, D.L.2
  • 30
    • 0345634142 scopus 로고    scopus 로고
    • NASA Langley Research Center, Computational Modeling and Simulation Branch, Virginia. Available from
    • E. Nielsen, FUN2D/3D Fully Unstructured Navier-Stokes user manual. NASA Langley Research Center, Computational Modeling and Simulation Branch, Virginia. Available from:
    • FUN2D/3D Fully Unstructured Navier-Stokes User Manual
    • Nielsen, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.