메뉴 건너뛰기




Volumn 79, Issue 3, 1998, Pages 397-425

Third order nonoscillatory central scheme for hyperbolic conservation laws

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032336616     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050345     Document Type: Article
Times cited : (145)

References (30)
  • 2
    • 0002715573 scopus 로고
    • Généralisation du schéma de nessyahu-tadmor pour une équation. Hyperbolique à deux dimensions d'espace
    • série I
    • Arminjon, P., Viallon, M.C. (1995): Généralisation du schéma de Nessyahu-Tadmor pour une équation. hyperbolique à deux dimensions d'espace. C.R. Acad. Sci. Paris, t. 320, série I, pp. 85-88
    • (1995) C.R. Acad. Sci. Paris , vol.320 , pp. 85-88
    • Arminjon, P.1    Viallon, M.C.2
  • 3
    • 0031520155 scopus 로고    scopus 로고
    • A Roe-type Riemann solver for hyperbolic systems with relaxation based on time-dependent wave decomposition
    • Bereux, F., Sainsaulieu, L. (1997): A Roe-type Riemann solver for hyperbolic systems with relaxation based on time-dependent wave decomposition. Numer. Math. 77, 143-185
    • (1997) Numer. Math. , vol.77 , pp. 143-185
    • Bereux, F.1    Sainsaulieu, L.2
  • 4
    • 34547419627 scopus 로고
    • The piecewise parabolic method (PPM) for gas-dynamical simulations
    • Colella, P., Woodward, P. (1984): The piecewise parabolic method (PPM) for gas-dynamical simulations. JCP 54, 174-201
    • (1984) JCP , vol.54 , pp. 174-201
    • Colella, P.1    Woodward, P.2
  • 5
    • 0039404268 scopus 로고    scopus 로고
    • A high-resolution Lax-Friedrichs scheme for Hyperbolic conservation laws with source term
    • Preprint
    • Erbes, G.: A high-resolution Lax-Friedrichs scheme for Hyperbolic conservation laws with source term. Application to the Shallow Water equations. Preprint.
    • Application to the Shallow Water Equations
    • Erbes, G.1
  • 6
    • 0000935266 scopus 로고
    • A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics
    • Godunov, S.K. (1959): A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics. Mat. Sb. 47, 271-290
    • (1959) Mat. Sb. , vol.47 , pp. 271-290
    • Godunov, S.K.1
  • 7
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten, A. (1983): High resolution schemes for hyperbolic conservation laws. JCP 49, 357-393
    • (1983) JCP , vol.49 , pp. 357-393
    • Harten, A.1
  • 8
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes. III
    • Harten, A., Engquist, B., Osher, S., Chakravarthy, S.R. (1982): Uniformly high order accurate essentially non-oscillatory schemes. III, JCP 71, 231-303
    • (1982) JCP , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.R.4
  • 9
    • 0039477453 scopus 로고
    • Uniformly high order accurate non-oscillatory scheme. I
    • Harten A., Osher, S. (1982): Uniformly high order accurate non-oscillatory scheme. I, SINUM 24, 229-309
    • (1982) SINUM , vol.24 , pp. 229-309
    • Harten, A.1    Osher, S.2
  • 10
    • 84983109360 scopus 로고
    • A piecewise-parabolic dual-mesh method for the Euler equations
    • Huynh, H. (1995): A piecewise-parabolic dual-mesh method for the Euler equations. AIAA-95-1739-CP, The 12th AIAA CFD Conf.
    • (1995) AIAA-95-1739-CP, The 12th AIAA CFD Conf.
    • Huynh, H.1
  • 11
    • 0032206542 scopus 로고    scopus 로고
    • Non-oscillatory central schemes for multidimensional hyperbolic conservation laws
    • in press
    • Jiang, G.S., Tadmor, E.: Non-oscillatory central schemes for multidimensional hyperbolic conservation laws. SIAM J. Sci. Comput. (in press)
    • SIAM J. Sci. Comput.
    • Jiang, G.S.1    Tadmor, E.2
  • 12
    • 84990701264 scopus 로고
    • The relaxation schemes for systems of conservation laws in arbitrary space dimensions
    • Jin, S., Xin, Z. (1995): The relaxation schemes for systems of conservation laws in arbitrary space dimensions. CPAM 48, 235-276
    • (1995) CPAM , vol.48 , pp. 235-276
    • Jin, S.1    Xin, Z.2
  • 13
    • 84980078953 scopus 로고
    • Weak solutions of non-nonlinear hyperbolic equations and their numerical computations
    • Lax, P.D. (1954): Weak solutions of non-nonlinear hyperbolic equations and their numerical computations. CPAM 7, 159-193
    • (1954) CPAM , vol.7 , pp. 159-193
    • Lax, P.D.1
  • 14
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme, V. A second order sequel to Godunov's method
    • van Leer, B. (1979): Towards the ultimate conservative difference scheme, V. A second order sequel to Godunov's method. JCP 32, 101-136
    • (1979) JCP , vol.32 , pp. 101-136
    • Van Leer, B.1
  • 15
    • 0037953258 scopus 로고    scopus 로고
    • Positive schemes for solving multi-dimensional hyperbolic systems of conservation Laws
    • Liu, X.-D., Lax, P.D. (1996): Positive Schemes for Solving Multi-dimensional Hyperbolic Systems of Conservation Laws. CFD Journal 5, 1-24
    • (1996) CFD Journal , vol.5 , pp. 1-24
    • Liu, X.-D.1    Lax, P.D.2
  • 16
    • 1542576022 scopus 로고    scopus 로고
    • Nonoscillatory high order accurate self similar maximum principle satisfying shock capturing schemes. I
    • Liu, X.-D., Osher, S. (1996): Nonoscillatory high order accurate self similar maximum principle satisfying shock capturing schemes. I. SINUM 33, 760-779
    • (1996) SINUM , vol.33 , pp. 760-779
    • Liu, X.-D.1    Osher, S.2
  • 18
    • 28144455569 scopus 로고
    • Non-oscillatory central differencing for hyperbolic conservation laws
    • Nessyahu, N., Tadmor, E. (1990): Non-oscillatory central differencing for hyperbolic conservation laws. JCP 87, 408-448
    • (1990) JCP , vol.87 , pp. 408-448
    • Nessyahu, N.1    Tadmor, E.2
  • 19
    • 0028374735 scopus 로고
    • On the convergence rate of Godunov-type schemes
    • Nessyahu, H., Tadmor, E., Tassa, T. (1994): On the convergence rate of Godunov-type schemes. SINUM 31, 1-16
    • (1994) SINUM , vol.31 , pp. 1-16
    • Nessyahu, H.1    Tadmor, E.2    Tassa, T.3
  • 20
    • 84966232121 scopus 로고
    • On the convergence of difference approximating to scalar conservation laws
    • Osher, S., Tadmor, E. (1988): On the convergence of difference approximating to scalar conservation laws. Math. Comp. 50, 15-51
    • (1988) Math. Comp. , vol.50 , pp. 15-51
    • Osher, S.1    Tadmor, E.2
  • 21
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe, P. (1981): Approximate Riemann solvers, parameter vectors, and difference schemes. JCP 43, 357-372
    • (1981) JCP , vol.43 , pp. 357-372
    • Roe, P.1
  • 22
    • 0025435747 scopus 로고
    • A numerical study of the convergence properties of ENO schemes
    • Rogerson, A., Meiburg, E. (1990): A numerical study of the convergence properties of ENO schemes. J. Sci. Comput. 5, 127-149
    • (1990) J. Sci. Comput. , vol.5 , pp. 127-149
    • Rogerson, A.1    Meiburg, E.2
  • 23
    • 84966199917 scopus 로고
    • A third-order accurate variation nonexpansive difference scheme for single conservation laws
    • Sanders, R. (1988): A third-order accurate variation nonexpansive difference scheme for single conservation laws. Math. Comp. 51, 535-558
    • (1988) Math. Comp. , vol.51 , pp. 535-558
    • Sanders, R.1
  • 24
    • 0039404239 scopus 로고    scopus 로고
    • Private communication
    • Sanders, R.: Private communication
    • Sanders, R.1
  • 25
    • 0001540763 scopus 로고
    • A high resolution staggered mesh approach for nonlinear hyperbolic systems of conservation laws
    • Sanders, R., Weiser, A. (1992): A high resolution staggered mesh approach for nonlinear hyperbolic systems of conservation laws. JCP 1010, 314-329
    • (1992) JCP , vol.1010 , pp. 314-329
    • Sanders, R.1    Weiser, A.2
  • 26
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for Hyperbolic conservation laws
    • Sweby, P. (1984): High resolution schemes using flux limiters for Hyperbolic conservation laws. SINUM 21, 995-1001
    • (1984) SINUM , vol.21 , pp. 995-1001
    • Sweby, P.1
  • 27
    • 0025436444 scopus 로고
    • Numerical experiments on the accuracy of ENO and modified ENO schemes
    • Shu, C.-W. (1990): Numerical experiments on the accuracy of ENO and modified ENO schemes. JCP 5, 127-149
    • (1990) JCP , vol.5 , pp. 127-149
    • Shu, C.-W.1
  • 28
    • 2942705023 scopus 로고
    • A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
    • Sod, G. (1978): A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. JCP 22, 1-31
    • (1978) JCP , vol.22 , pp. 1-31
    • Sod, G.1
  • 30
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • Woodward, P., Colella, P. (1988): The numerical simulation of two-dimensional fluid flow with strong shocks. JCP 54, 115-173
    • (1988) JCP , vol.54 , pp. 115-173
    • Woodward, P.1    Colella, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.