메뉴 건너뛰기




Volumn 29, Issue 5, 1999, Pages 587-603

A discontinuous Galerkin method for the Navier-Stokes equations

Author keywords

Compressible flows; Discontinuous Galerkin; Spectral methods

Indexed keywords

AEROFOIL; AIRFLOW; CYLINDER; NAVIER-STOKES EQUATIONS; SUPERSONIC FLOW;

EID: 0033558751     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19990315)29:5<587::AID-FLD805>3.0.CO;2-K     Document Type: Article
Times cited : (59)

References (22)
  • 1
    • 0029412889 scopus 로고
    • A triangular spectral element method; applications to the incompressible Navier-Stokes equations
    • S.J. Sherwin and G.E. Karniadakis, 'A triangular spectral element method; applications to the incompressible Navier-Stokes equations', Comp. Methods Appl. Mech. Eng., 23, 83 (1995).
    • (1995) Comp. Methods Appl. Mech. Eng. , vol.23 , pp. 83
    • Sherwin, S.J.1    Karniadakis, G.E.2
  • 2
    • 0343980569 scopus 로고
    • Tetrahedral hp finite elements: Algorithms and flow simulations
    • S.J. Sherwin and G.E. Karniadakis, 'Tetrahedral hp finite elements: algorithms and flow simulations', J. Comp. Phys., 122, 191 (1995).
    • (1995) J. Comp. Phys. , vol.122 , pp. 191
    • Sherwin, S.J.1    Karniadakis, G.E.2
  • 3
    • 0026371189 scopus 로고
    • Spectral methods on triangles and other domains
    • M. Dubiner, 'Spectral methods on triangles and other domains', J. Sci. Comp., 6, 345 (1991).
    • (1991) J. Sci. Comp. , vol.6 , pp. 345
    • Dubiner, M.1
  • 4
    • 0001234668 scopus 로고    scopus 로고
    • Spectral/hp methods for viscous compressible flows on unstructured 2D meshes
    • I. Lomtev, C.B. Quillen, and G.E. Karniadakis, 'Spectral/hp methods for viscous compressible flows on unstructured 2D meshes', J. Comp. Phys., 144, 325-357 (1998).
    • (1998) J. Comp. Phys. , vol.144 , pp. 325-357
    • Lomtev, I.1    Quillen, C.B.2    Karniadakis, G.E.3
  • 5
    • 84966246413 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
    • B. Cockburn and C.-W. Shu, 'TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework', Math. Comp., 52, 411-435 (1989).
    • (1989) Math. Comp. , vol.52 , pp. 411-435
    • Cockburn, B.1    Shu, C.-W.2
  • 6
    • 45249130080 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems
    • B. Cockburn, S.-Y. Lin and C.-W. Shu, 'TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems', J. Comp. Phys., 84, 90-113 (1989).
    • (1989) J. Comp. Phys. , vol.84 , pp. 90-113
    • Cockburn, B.1    Lin, S.-Y.2    Shu, C.-W.3
  • 7
    • 84966261380 scopus 로고
    • The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multi-dimensional case
    • B. Cockburn, S. Hou and C.-W. Shu, 'The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multi-dimensional case', J. Comp. Phys., 54, 545 (1990).
    • (1990) J. Comp. Phys. , vol.54 , pp. 545
    • Cockburn, B.1    Hou, S.2    Shu, C.-W.3
  • 8
    • 0346179638 scopus 로고
    • 1-RKDG method for two-dimensional Euler equations of gas dynamics
    • UC Davis
    • 1-RKDG method for two-dimensional Euler equations of gas dynamics', In Proc. 4th Int. Symp. on CFD, UC Davis, 1991.
    • (1991) Proc. 4th Int. Symp. on CFD
    • Cockburn, B.1    Shu, C.-W.2
  • 9
    • 0028407037 scopus 로고
    • Parallel, adaptive finite element methods for conservation laws
    • R. Biswas, K. Devine and J. Flaherty, 'Parallel, adaptive finite element methods for conservation laws', Appl. Numer. Math., 14, 255-283, 1994.
    • (1994) Appl. Numer. Math. , vol.14 , pp. 255-283
    • Biswas, R.1    Devine, K.2    Flaherty, J.3
  • 10
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin for time dependent convection-diffusion systems
    • to appear
    • B. Cockburn and C.-W. Shu, 'The local discontinuous Galerkin for time dependent convection-diffusion systems', SIAM J. Numer. Anal. (1998) to appear.
    • (1998) SIAM J. Numer. Anal.
    • Cockburn, B.1    Shu, C.-W.2
  • 11
    • 0001416032 scopus 로고    scopus 로고
    • A high-order-accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
    • F. Bassi and S. Rebay, 'A high-order-accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations', J. Comp. Phys., 131, 267 (1997).
    • (1997) J. Comp. Phys. , vol.131 , pp. 267
    • Bassi, F.1    Rebay, S.2
  • 14
    • 84968487025 scopus 로고
    • On a cell entropy inequality for discontinuous Galerkin methods
    • G. Jiang and C.W. Shu, 'On a cell entropy inequality for discontinuous Galerkin methods', Math. Comp., 62, 531 (1994).
    • (1994) Math. Comp. , vol.62 , pp. 531
    • Jiang, G.1    Shu, C.W.2
  • 16
    • 0026261257 scopus 로고
    • An experimental study of the parallel and oblique vortex shedding from circular cylinders
    • M. Hammache and M. Gharib, 'An experimental study of the parallel and oblique vortex shedding from circular cylinders', J. Fluid Mech., 232, 567-590 (1991).
    • (1991) J. Fluid Mech. , vol.232 , pp. 567-590
    • Hammache, M.1    Gharib, M.2
  • 17
    • 0028993138 scopus 로고
    • Details of the drag curve near the onset of vortex shedding
    • R.D. Henderson, 'Details of the drag curve near the onset of vortex shedding', Phys. Fluids, 7, 1-3 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 1-3
    • Henderson, R.D.1
  • 18
    • 84958439001 scopus 로고
    • The transition to turbulence in the wake of a circular cylinder
    • M.S. Bloor, 'The transition to turbulence in the wake of a circular cylinder', J. Fluid Mech., 19, 290 (1964).
    • (1964) J. Fluid Mech. , vol.19 , pp. 290
    • Bloor, M.S.1
  • 19
    • 0345256259 scopus 로고
    • Numerical simulation of compressible Navier-Stokes equations - External 2D flows around a NACA0012 airfoil
    • INRIA (eds.), December 4-6 Nice, France, Centre de Rocquefort, de Rennes et de Sophia-Antipolis
    • 'Numerical simulation of compressible Navier-Stokes equations - external 2D flows around a NACA0012 airfoil', in INRIA (eds.), GAMM Workshop, December 4-6 1985, Nice, France, Centre de Rocquefort, de Rennes et de Sophia-Antipolis, 1986.
    • (1985) GAMM Workshop
  • 21
    • 84966236671 scopus 로고
    • Non-oscillatory spectral Fourier methods for shock wave calculations
    • W. Cai, D. Gottlieb and C.W. Shu, 'Non-oscillatory spectral Fourier methods for shock wave calculations', Math. Comp., 52, 389-410 (1989).
    • (1989) Math. Comp. , vol.52 , pp. 389-410
    • Cai, W.1    Gottlieb, D.2    Shu, C.W.3
  • 22
    • 0001809357 scopus 로고
    • A spectral element - FCT method for the compressible Euler equations
    • J. Giannakouros and G.E. Karniadakis, 'A spectral element - FCT method for the compressible Euler equations', J. Comp. Phys., 115, 65 (1994).
    • (1994) J. Comp. Phys. , vol.115 , pp. 65
    • Giannakouros, J.1    Karniadakis, G.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.