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Volumn 22, Issue 1, 2006, Pages 84-92

Application of a fourth-order relaxation scheme to hyperbolic systems of conservation laws

Author keywords

CWENO reconstruction; Hyperbolic systems of conservation laws; Relaxation schemes

Indexed keywords

FLUID MECHANICS; INTEGRATION; RECONSTRUCTION (STRUCTURAL); RELAXATION PROCESSES; RUNGE KUTTA METHODS; STABILITY; TWO DIMENSIONAL;

EID: 33744763053     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10409-005-0079-x     Document Type: Article
Times cited : (11)

References (20)
  • 1
    • 0001568854 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes. II
    • Shu, C.W., Osher, S.: Efficient implementation of essentially non-oscillatory shock capturing schemes. II. J. Comput. Phys. 83:32-78 (1989)
    • (1989) J. Comput. Phys. , vol.83 , pp. 32-78
    • Shu, C.W.1    Osher, S.2
  • 2
    • 0035075926 scopus 로고    scopus 로고
    • Compact central WENO schemes for multidimensional conservation laws
    • Levy, D., Puppo, G., Russo, G.: Compact central WENO schemes for multidimensional conservation laws. SIAM J. Sci. Comput. 22: 656-672(2000)
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 656-672
    • Levy, D.1    Puppo, G.2    Russo, G.3
  • 3
    • 0033468934 scopus 로고    scopus 로고
    • Central WENO schemes for hyperbolic systems of conservation laws
    • Levy, D., Puppo, G., Russo, G.: Central WENO schemes for hyperbolic systems of conservation laws. Math. Model Numer. Anal. 33: 547-571(1999)
    • (1999) Math. Model Numer. Anal. , vol.33 , pp. 547-571
    • Levy, D.1    Puppo, G.2    Russo, G.3
  • 4
    • 0037249089 scopus 로고    scopus 로고
    • A fourth-order central WENO scheme for multidimensional hyperbolic systems of conservation laws
    • Levy, D., Puppo, G., Russo, G.: A fourth-order central WENO scheme for multidimensional hyperbolic systems of conservation laws. SIAM J. Sci. Comput. 24: 480-506 (2002)
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 480-506
    • Levy, D.1    Puppo, G.2    Russo, G.3
  • 5
    • 84990701264 scopus 로고
    • The relaxation schemes for systems of conservation laws in arbitrary space dimensions
    • Jin, S., Xin, Z.: The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Comm. Pure. Appl. Math. 48: 235-276(1995)
    • (1995) Comm. Pure. Appl. Math. , vol.48 , pp. 235-276
    • Jin, S.1    Xin, Z.2
  • 6
    • 0037429776 scopus 로고    scopus 로고
    • Relaxation schemes for the shallow water equations
    • Delis, A.I., Katsaounis, Th.: Relaxation schemes for the shallow water equations. Int. J. Numer. Meth. Fluids 41: 695-719 (2003)
    • (2003) Int. J. Numer. Meth. Fluids , vol.41 , pp. 695-719
    • Delis, A.I.1    Katsaounis, Th.2
  • 7
    • 0000997075 scopus 로고    scopus 로고
    • Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and relaxation schemes
    • Jin, S., Xin, Z.: Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and relaxation schemes. SIAM J. Num. Anal. 35(6): 2385-2404 (1998)
    • (1998) SIAM J. Num. Anal. , vol.35 , Issue.6 , pp. 2385-2404
    • Jin, S.1    Xin, Z.2
  • 8
    • 0037200419 scopus 로고    scopus 로고
    • Relaxation schemes for the calculation of two-phase flow in pipes
    • Evje, S., Fjelde, K.K.: Relaxation schemes for the calculation of two-phase flow in pipes. Math. Comput. Modelling 36: 535-567 (2002)
    • (2002) Math. Comput. Modelling , vol.36 , pp. 535-567
    • Evje, S.1    Fjelde, K.K.2
  • 9
    • 0035581884 scopus 로고    scopus 로고
    • Convergence of a relaxation scheme for hyperbolic systems of conservation laws
    • Lattanzio, C, Serre, D.: Convergence of a relaxation scheme for hyperbolic systems of conservation laws. Numer. Math. 88: 121-134(2001)
    • (2001) Numer. Math. , vol.88 , pp. 121-134
    • Lattanzio, C.1    Serre, D.2
  • 10
    • 0000136945 scopus 로고    scopus 로고
    • Convergence rates for relaxation schemes approximating conservation laws
    • Liu, H., Warnecke, G.: Convergence rates for relaxation schemes approximating conservation laws. SIAM J. Numer. Anal. 37: 1316-1337(2000)
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1316-1337
    • Liu, H.1    Warnecke, G.2
  • 11
    • 0036148066 scopus 로고    scopus 로고
    • The third-order relaxation schemes for hyperbolic conservation laws
    • Li, X.G., Yu, X.J., Chen, G.N.: The third-order relaxation schemes for hyperbolic conservation laws. J. Comput. Appl. Math. 138: 93-108(2002)
    • (2002) J. Comput. Appl. Math. , vol.138 , pp. 93-108
    • Li, X.G.1    Yu, X.J.2    Chen, G.N.3
  • 12
    • 5044227412 scopus 로고    scopus 로고
    • Non-oscillatory relaxation methods for the shallow water equations in one and two space dimensions
    • Seaid, M.: Non-oscillatory relaxation methods for the shallow water equations in one and two space dimensions. Int. J. Numer. Meth. Fluids 46(5): 1-28(2004)
    • (2004) Int. J. Numer. Meth. Fluids , vol.46 , Issue.5 , pp. 1-28
    • Seaid, M.1
  • 13
    • 0002267573 scopus 로고
    • A finite-volume high order ENO scheme for two-dimensional hyperbolic systems
    • Casper, J., Atkins, H.: A finite-volume high order ENO scheme for two-dimensional hyperbolic systems. J. Comp. Phys. 106: 62-76 (1993)
    • (1993) J. Comp. Phys. , vol.106 , pp. 62-76
    • Casper, J.1    Atkins, H.2
  • 14
    • 13844270719 scopus 로고    scopus 로고
    • Finite volume WENO schemes for three-dimensional conservation laws
    • Titarev, V.A., Toro, E.F.: Finite volume WENO schemes for three-dimensional conservation laws. J. Comp. Phys. 201: 238-260 (2004)
    • (2004) J. Comp. Phys. , vol.201 , pp. 238-260
    • Titarev, V.A.1    Toro, E.F.2
  • 15
    • 0036447606 scopus 로고    scopus 로고
    • Fourth order chebyshev methods with recurrence relation
    • Abdulle, A.: Fourth order chebyshev methods with recurrence relation. SIAM J. Sci. Comput. 23: 2041-2054 (2002)
    • (2002) SIAM J. Sci. Comput. , vol.23 , pp. 2041-2054
    • Abdulle, A.1
  • 16
    • 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. 22: 1-31 (1978)
    • (1978) J. Comput. Phys. , vol.22 , pp. 1-31
    • Sod, G.1
  • 17
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • Woodward, P., Colella, P.: The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54: 115-173(1984)
    • (1984) J. Comput. Phys. , vol.54 , pp. 115-173
    • Woodward, P.1    Colella, P.2
  • 18
    • 0034551267 scopus 로고    scopus 로고
    • Central schemes and contact discontinuities
    • Kurganov, A., Petrova, G.: Central schemes and contact discontinuities. Math. Model Numer. Anal. 34: 1259-1275 (2000)
    • (2000) Math. Model Numer. Anal. , vol.34 , pp. 1259-1275
    • Kurganov, A.1    Petrova, G.2
  • 19
    • 13644274379 scopus 로고    scopus 로고
    • Hermite WENO schemes and their application as limiters for Runge-Kuttadiscontinuous Galerkin method II: Two dimensional case
    • Qiu, J., Shu, C.W.: Hermite WENO schemes and their application as limiters for Runge-Kuttadiscontinuous Galerkin method II: Two dimensional case. Comput. Fluids 34: 642-663 (2005)
    • (2005) Comput. Fluids , vol.34 , pp. 642-663
    • Qiu, J.1    Shu, C.W.2
  • 20
    • 0000238594 scopus 로고    scopus 로고
    • Non-oscillatory central schemes with non-staggered grids for hyperbolic conservation laws
    • Jiang, G.S., Tadmor E.: Non-oscillatory central schemes with non-staggered grids for hyperbolic conservation laws. SIAM J. Numer. Anal. 35:2147-2168(1998)
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2147-2168
    • Jiang, G.S.1    Tadmor, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.