메뉴 건너뛰기




Volumn 228, Issue 6, 2009, Pages 2119-2131

A central conservative scheme for general rectangular grids

Author keywords

Compressible flows; General rectangular grids; Hyperbolic conservation laws; Numerics: central schemes

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL METHODS;

EID: 59149094473     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.11.030     Document Type: Article
Times cited : (14)

References (34)
  • 1
    • 85190567786 scopus 로고    scopus 로고
    • P. Arminjon, D. Stanescu, M.-C. Viallon, A two-dimensional finite volume extension of the Lax-Friedrichs and Nessyahu-Tadmor schemes for compressible flow, in: H. Hafez, K. Oshima (Eds.), Proceedings of the Sixth International Symposium on Computational Fluid Dynamics, Lake Tahoe, CA, 1995, pp. 7-14.
    • P. Arminjon, D. Stanescu, M.-C. Viallon, A two-dimensional finite volume extension of the Lax-Friedrichs and Nessyahu-Tadmor schemes for compressible flow, in: H. Hafez, K. Oshima (Eds.), Proceedings of the Sixth International Symposium on Computational Fluid Dynamics, Lake Tahoe, CA, 1995, pp. 7-14.
  • 2
    • 0031325623 scopus 로고    scopus 로고
    • A finite volume extension of the Lax-Friedrichs and Nessyahu-Tadmor schemes for conservation laws on unstructured grids
    • Arminjon P., Stanescu D., Viallon M.-C., and Madrane A. A finite volume extension of the Lax-Friedrichs and Nessyahu-Tadmor schemes for conservation laws on unstructured grids. Int. J. Comput. Fluid Dyn. 9 (1997) 1-22
    • (1997) Int. J. Comput. Fluid Dyn. , vol.9 , pp. 1-22
    • Arminjon, P.1    Stanescu, D.2    Viallon, M.-C.3    Madrane, A.4
  • 3
    • 0002715573 scopus 로고
    • Généralisation du schéma de Nessyahu-Tadmor pour une équation hyperbolique à deux dimensions d'espace
    • Arminjon P., and Viallon M.-C. Généralisation du schéma de Nessyahu-Tadmor pour une équation hyperbolique à deux dimensions d'espace. C.R. Avad. Sci. Paris Sér. I Math. 320 (1995) 85-88
    • (1995) C.R. Avad. Sci. Paris Sér. I Math. , vol.320 , pp. 85-88
    • Arminjon, P.1    Viallon, M.-C.2
  • 4
    • 0000954323 scopus 로고    scopus 로고
    • Convergence of a finite volume extension of the Nessyahu-Tadmor scheme on unstructured grids for a two-dimensional linear hyperbolic equation
    • Arminjon P., and Viallon M.-C. Convergence of a finite volume extension of the Nessyahu-Tadmor scheme on unstructured grids for a two-dimensional linear hyperbolic equation. SIAM J. Numer. Anal. 36 3 (1999) 738-771
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.3 , pp. 738-771
    • Arminjon, P.1    Viallon, M.-C.2
  • 5
    • 13844251984 scopus 로고    scopus 로고
    • Non-oscillatory central schemes for one- and two-dimensional MHD equations: I
    • Balbás J., Tadmor E., and Wu C.-C. Non-oscillatory central schemes for one- and two-dimensional MHD equations: I. J. Comput. Phys. 201 (2004) 261-285
    • (2004) J. Comput. Phys. , vol.201 , pp. 261-285
    • Balbás, J.1    Tadmor, E.2    Wu, C.-C.3
  • 6
    • 0033296324 scopus 로고    scopus 로고
    • High order central schemes for hyperbolic systems of conservation laws
    • Bianco F., Puppo G., and Russo G. High order central schemes for hyperbolic systems of conservation laws. SIAM J. Sci. Comput. 21 (1999) 294-322
    • (1999) SIAM J. Sci. Comput. , vol.21 , pp. 294-322
    • Bianco, F.1    Puppo, G.2    Russo, G.3
  • 8
    • 0003908527 scopus 로고
    • Über die partiellen Differenzengleichungen der mathematischen Physik
    • Courant R., Friedrichs K., and Lewy H. Über die partiellen Differenzengleichungen der mathematischen Physik. Math. Ann. 100 (1928) 32-74
    • (1928) Math. Ann. , vol.100 , pp. 32-74
    • Courant, R.1    Friedrichs, K.2    Lewy, H.3
  • 9
    • 0001380483 scopus 로고
    • Systems of conservation equations with a convex extension
    • Friedrichs K.O., and Lax P.D. Systems of conservation equations with a convex extension. Proc. Nat. Acad. Sci. 68 (1971) 1686-1688
    • (1971) Proc. Nat. Acad. Sci. , vol.68 , pp. 1686-1688
    • Friedrichs, K.O.1    Lax, P.D.2
  • 10
    • 0000935266 scopus 로고
    • Finite difference method for numerical computation of discontinuous solution of the equations of fluid dynamics
    • Godunov S.K. Finite difference method for numerical computation of discontinuous solution of the equations of fluid dynamics. Mater. Sb. 47 (1959) 271
    • (1959) Mater. Sb. , vol.47 , pp. 271
    • Godunov, S.K.1
  • 11
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49 (1983) 357-393
    • (1983) J. Comput. Phys. , vol.49 , pp. 357-393
    • Harten, A.1
  • 12
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes, III
    • Harten A. Uniformly high order accurate essentially non-oscillatory schemes, III. J. Comput. Phys. 71 (1987) 231-303
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1
  • 13
    • 0000238594 scopus 로고    scopus 로고
    • High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws
    • Jiang G.-S., Levy D., Lin C.-T., Osher S., and Tadmor E. High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws. SIAM J. Numer. Anal. 35 (1998) 2147-2168
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2147-2168
    • Jiang, G.-S.1    Levy, D.2    Lin, C.-T.3    Osher, S.4    Tadmor, E.5
  • 14
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • Jiang G.-S., and Shu C.-W. Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126 (1996) 202-228
    • (1996) J. Comput. Phys. , vol.126 , pp. 202-228
    • Jiang, G.-S.1    Shu, C.-W.2
  • 15
    • 0034879339 scopus 로고    scopus 로고
    • A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations
    • Kurganov A., and Levy D. A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. SIAM J. Sci. Comput. 22 (2000) 1461-1488
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 1461-1488
    • Kurganov, A.1    Levy, D.2
  • 16
    • 0036288577 scopus 로고    scopus 로고
    • Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations
    • Kurganov A., Noelle S., and Petrova G. Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. SIAM J. Sci. Comput. 23 3 (2001) 707-740
    • (2001) SIAM J. Sci. Comput. , vol.23 , Issue.3 , pp. 707-740
    • Kurganov, A.1    Noelle, S.2    Petrova, G.3
  • 17
    • 0041025209 scopus 로고    scopus 로고
    • A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems
    • Kurganov A., and Petrova G. A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Numer. Math. 88 (2001) 683-729
    • (2001) Numer. Math. , vol.88 , pp. 683-729
    • Kurganov, A.1    Petrova, G.2
  • 18
    • 18744393724 scopus 로고    scopus 로고
    • Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws
    • Kurganov A., and Petrova G. Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Num. Meth. PDEs 21 (2005) 536-552
    • (2005) Num. Meth. PDEs , vol.21 , pp. 536-552
    • Kurganov, A.1    Petrova, G.2
  • 19
    • 0347987814 scopus 로고    scopus 로고
    • New high resolution central schemes for nonlinear conservation laws and convection-diffusion equations
    • Kurganov A., and Tadmor E. New high resolution central schemes for nonlinear conservation laws and convection-diffusion equations. JCP 160 (2000) 241-282
    • (2000) JCP , vol.160 , pp. 241-282
    • Kurganov, A.1    Tadmor, E.2
  • 21
    • 0033468934 scopus 로고    scopus 로고
    • Central WENO schemes for hyperbolic systems of conservation laws
    • Levy D., Puppo G., and Russo G. Central WENO schemes for hyperbolic systems of conservation laws. Math. Model. Numer. Anal. 33 (1999) 547-571
    • (1999) Math. Model. Numer. Anal. , vol.33 , pp. 547-571
    • Levy, D.1    Puppo, G.2    Russo, G.3
  • 22
    • 0034190356 scopus 로고    scopus 로고
    • A third order central WENO scheme for 2D conservation laws
    • Levy D., Puppo G., and Russo G. A third order central WENO scheme for 2D conservation laws. Appl. Numer. Math. 33 (2000) 407-414
    • (2000) Appl. Numer. Math. , vol.33 , pp. 407-414
    • Levy, D.1    Puppo, G.2    Russo, G.3
  • 23
    • 0035075926 scopus 로고    scopus 로고
    • Compact central WENO schemes for multidimensional conservation laws
    • Levy D., Puppo G., and Russo G. Compact central WENO schemes for multidimensional conservation laws. SIAM J. Sci. Comput. 22 (2000) 656-672
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 656-672
    • Levy, D.1    Puppo, G.2    Russo, G.3
  • 24
    • 0000592595 scopus 로고
    • Weighted essentially non-oscillatory schemes
    • Liu X.D., Osher S., and Chan T. 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
  • 25
    • 0032336616 scopus 로고    scopus 로고
    • Third order nonoscillatory central scheme for hyperbolic conservation on laws
    • Liu X.D., and Tadmor E. Third order nonoscillatory central scheme for hyperbolic conservation on laws. Numer. Math. 79 (1998) 397-425
    • (1998) Numer. Math. , vol.79 , pp. 397-425
    • Liu, X.D.1    Tadmor, E.2
  • 26
    • 28144455569 scopus 로고
    • Non-oscillatory central differencing for hyperbolic conservation laws
    • Nessyahu H., and Tadmor E. Non-oscillatory central differencing for hyperbolic conservation laws. J. Comput. Phys. 87 (1990) 408-463
    • (1990) J. Comput. Phys. , vol.87 , pp. 408-463
    • Nessyahu, H.1    Tadmor, E.2
  • 27
    • 84966232121 scopus 로고
    • On the convergence of difference approximations to scalar conservation laws
    • Osher S., and Tadmor E. On the convergence of difference approximations to scalar conservation laws. Math. Comput. 50 181 (1988) 19-51
    • (1988) Math. Comput. , vol.50 , Issue.181 , pp. 19-51
    • Osher, S.1    Tadmor, E.2
  • 28
    • 59149095507 scopus 로고
    • On the convergence of difference approximations to scalar conservation laws
    • Osher S., and Tadmor E. On the convergence of difference approximations to scalar conservation laws. SIAM J. Sci. Comput. 5 (1990) 127-149
    • (1990) SIAM J. Sci. Comput. , vol.5 , pp. 127-149
    • Osher, S.1    Tadmor, E.2
  • 30
    • 0000564951 scopus 로고
    • Total-variation-diminishing time discretizations
    • Shu C.-W. Total-variation-diminishing time discretizations. SIAM J. Sci. Stat. Comput. 9 6 (1988) 1073-1084
    • (1988) SIAM J. Sci. Stat. Comput. , vol.9 , Issue.6 , pp. 1073-1084
    • Shu, C.-W.1
  • 31
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
    • Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes, II. J. Comput. Phys. 83 (1989) 32-78
    • (1989) J. Comput. Phys. , vol.83 , pp. 32-78
    • Shu, C.-W.1    Osher, S.2
  • 32
    • 2942705023 scopus 로고
    • A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
    • Sod G. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. J. Comput. Phys. 27 (1978) 1-31
    • (1978) J. Comput. Phys. , vol.27 , pp. 1-31
    • Sod, G.1
  • 33
    • 0001069414 scopus 로고
    • ZEUS-2D: a radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. I. The hydrodynamic algorithm and tests
    • Stone J.M., and Norman M.L. ZEUS-2D: a radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. I. The hydrodynamic algorithm and tests. ApJS 80 (1992) 753-790
    • (1992) ApJS , vol.80 , pp. 753-790
    • Stone, J.M.1    Norman, M.L.2
  • 34
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme, V. A second order sequel to Godunov's method
    • van Leer B. Towards the ultimate conservative difference scheme, V. A second order sequel to Godunov's method. J. Comput. Phys. 32 (1979) 101-136
    • (1979) J. Comput. Phys. , vol.32 , pp. 101-136
    • van Leer, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.