메뉴 건너뛰기




Volumn 5, Issue 2-4, 2009, Pages 836-848

Third order WENO scheme on three dimensional tetrahedral meshes

Author keywords

Finite volume schemes; High order accuracy; Tetrahedral meshes; Weighted essentially non oscillatory (WENO) schemes

Indexed keywords


EID: 59749096731     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (167)

References (15)
  • 2
    • 33846336138 scopus 로고    scopus 로고
    • Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
    • M. Dumbser and M. Käser, Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems, J. Comput. Phys., 221 (2007), 693-723.
    • (2007) J. Comput. Phys , vol.221 , pp. 693-723
    • Dumbser, M.1    Käser, M.2
  • 3
    • 34548397128 scopus 로고    scopus 로고
    • Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
    • M. Dumbser, M. Käser, VA. Titarev and E.F. Toro, Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems, J. Comput. Phys., 226 (2007),204-243.
    • (2007) J. Comput. Phys , vol.226 , pp. 204-243
    • Dumbser, M.1    Käser, M.2    Titarev, V.A.3    Toro, E.F.4
  • 4
    • 0001484343 scopus 로고    scopus 로고
    • Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
    • O. Friedrichs, Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids, J. Comput. Phys., 144 (1998), 194-212.
    • (1998) J. Comput. Phys , vol.144 , pp. 194-212
    • Friedrichs, O.1
  • 5
    • 18844441718 scopus 로고    scopus 로고
    • Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
    • A.K. Henrick, T.D. Aslam and J.M. Powers, Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points, J. Comput. Phys., 207 (2005), 542-567.
    • (2005) J. Comput. Phys , vol.207 , pp. 542-567
    • Henrick, A.K.1    Aslam, T.D.2    Powers, J.M.3
  • 6
    • 84985387110 scopus 로고
    • Numerical integration on a triangle
    • P. Hillion, Numerical integration on a triangle, Int. J. Numer. Met. Eng., 11 (1977), 797-815.
    • (1977) Int. J. Numer. Met. Eng , vol.11 , pp. 797-815
    • Hillion, P.1
  • 7
    • 0003140474 scopus 로고    scopus 로고
    • Weighted essentially non-oscillatory schemes on triangular meshes
    • C. Hu and C.-W Shu, Weighted essentially non-oscillatory schemes on triangular meshes, J. Comput. Phys., 150 (1999), 97-127.
    • (1999) J. Comput. Phys , vol.150 , pp. 97-127
    • Hu, C.1    Shu, C.-W.2
  • 8
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • G. Jiang and C.-W Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys., 126 (1996), 202-228.
    • (1996) J. Comput. Phys , vol.126 , pp. 202-228
    • Jiang, G.1    Shu, C.-W.2
  • 9
    • 0000592595 scopus 로고
    • Weighted essentially non-oscillatory schemes
    • X.-D. Liu, S. Osher and T. Chan, Weighted essentially non-oscillatory schemes, J. Comput. Phys., 115 (1994), 200-212.
    • (1994) J. Comput. Phys , vol.115 , pp. 200-212
    • Liu, X.-D.1    Osher, S.2    Chan, T.3
  • 10
    • 19644381369 scopus 로고    scopus 로고
    • Runge-Kutta discontinuous Galerkin method using WENO limiters
    • J. Qiu and C.-W Shu, Runge-Kutta discontinuous Galerkin method using WENO limiters, SIAM J. Sci. Comput., 26 (2005), 907-929.
    • (2005) SIAM J. Sci. Comput , vol.26 , pp. 907-929
    • Qiu, J.1    Shu, C.-W.2
  • 12
    • 0036151484 scopus 로고    scopus 로고
    • A technique of treating negative weights in WENO schemes
    • J. Shi, C. Hu and C.-W. Shu, A technique of treating negative weights in WENO schemes, J. Comput. Phys., 175 (2002), 108-127.
    • (2002) J. Comput. Phys , vol.175 , pp. 108-127
    • Shi, J.1    Hu, C.2    Shu, C.-W.3
  • 13
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes
    • C.-W Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock capturing schemes, J. Comput. Phys., 77 (1988), 439-471.
    • (1988) J. Comput. Phys , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 14
    • 34247341292 scopus 로고    scopus 로고
    • A new smoothness indicator for the WENO schemes and its effect on the convergence to steady state solutions
    • S. Zhang and C.-W. Shu, A new smoothness indicator for the WENO schemes and its effect on the convergence to steady state solutions, J. Sci. Comput., 31 (2007), 273-305.
    • (2007) J. Sci. Comput , vol.31 , pp. 273-305
    • Zhang, S.1    Shu, C.-W.2
  • 15
    • 0038070190 scopus 로고    scopus 로고
    • High order WENO schemes for Hamilton-Jacobi equations on triangular meshes
    • Y.-T. Zhang and C.-W Shu, High order WENO schemes for Hamilton-Jacobi equations on triangular meshes, SIAM J. Sci. Comput., 24 (2003), 1005-1030.
    • (2003) SIAM J. Sci. Comput , vol.24 , pp. 1005-1030
    • Zhang, Y.-T.1    Shu, C.-W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.