메뉴 건너뛰기




Volumn 35, Issue 1, 2001, Pages 107-127

A Q-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system

Author keywords

1D shallaw water equations; Coupled conservation laws; Hyperbolic systems; Q schemes; Source terms; Two layer flows

Indexed keywords


EID: 0035631410     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2001108     Document Type: Article
Times cited : (147)

References (27)
  • 1
    • 0022663802 scopus 로고
    • The hydraulics of two flowing layers with different densities
    • L. Armi, The hydraulics of two flowing layers with different densities. J. Fluid Mech. 163 (1986) 27-58.
    • (1986) J. Fluid Mech. , vol.163 , pp. 27-58
    • Armi, L.1
  • 2
    • 0022678153 scopus 로고
    • Maximal two-layer exchange through a contraction with barotropic net flow
    • L. Armi and D. Farmer, Maximal two-layer exchange through a contraction with barotropic net flow. J. Fluid Mech. 164 (1986) 27-51.
    • (1986) J. Fluid Mech. , vol.164 , pp. 27-51
    • Armi, L.1    Farmer, D.2
  • 3
    • 0028534347 scopus 로고
    • Upwind methods for hyperbolic conservation laws with source terms
    • A. Bermúdez and M.E. Vázquez, Upwind methods for hyperbolic conservation laws with source terms. Computers and Fluids 23 (1994) 1049-1071.
    • (1994) Computers and Fluids , vol.23 , pp. 1049-1071
    • Bermúdez, A.1    Vázquez, M.E.2
  • 9
    • 0022680530 scopus 로고
    • Maximal two-layer exchange over a sill and through a, combination of a sill and contraction with barotropic flow
    • D. Farmer and L. Armi, Maximal two-layer exchange over a sill and through a, combination of a sill and contraction with barotropic flow. J. Fluid Mech. 164 (1986) 53-76.
    • (1986) J. Fluid Mech. , vol.164 , pp. 53-76
    • Farmer, D.1    Armi, L.2
  • 11
    • 0026929713 scopus 로고
    • 1D open channel flow simulation using TVD mccormack scheme
    • P. García-Navarro, F. Alcrudo and J.M. Savirón, 1D open channel flow simulation using TVD McCormack scheme. J. Hydraul. Eng. 118 (1992) 1359-1373.
    • (1992) J. Hydraul. Eng. , vol.118 , pp. 1359-1373
    • García-Navarro, P.1    Alcrudo, F.2    Savirón, J.M.3
  • 12
    • 0019920575 scopus 로고
    • Atmosphere-ocean dynamics
    • Springer-Verlag, San Diego 662 p
    • A.E. Gill, Atmosphere-Ocean Dynamics, Int. Geophys. Series 30, Springer-Verlag, San Diego (1982) 662 p.
    • (1982) Int. Geophys. Series , vol.30
    • Gill, A.E.1
  • 13
    • 85114329546 scopus 로고    scopus 로고
    • Numerical approximation of hyperbolic systems of conservation laws
    • Springer-Verlag, New York
    • E. Godlewski and P.A. Raviart, Numerical Approximation of Hyperbolic Systems of Conservation Laws, Appl. Math. Sc. 118, Springer-Verlag, New York (1996).
    • (1996) Appl. Math. Sc. , vol.118
    • Godlewski, E.1    Raviart, P.A.2
  • 14
    • 0021381876 scopus 로고
    • On a class of high resolution total-variation-stable finite-difference schemes
    • A. Harten, On a class of high resolution total-variation-stable finite-difference schemes. SIAM J. Numer. Anal. 21 (1984) 1-23.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 1-23
    • Harten, A.1
  • 15
    • 0000876320 scopus 로고
    • On upstream differencing and godunov-type schemes for hyperbolic conservation laws
    • A. Harten, P. Lax and A. van Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25 (1983) 35-61.
    • (1983) SIAM Rev. , vol.25 , pp. 35-61
    • Harten, A.1    Lax, P.2    Van Leer, A.3
  • 16
    • 0028830467 scopus 로고
    • Time-dependent two-layer hydraulic exchange flows
    • K.R. Helfrich, Time-dependent two-layer hydraulic exchange flows. J. Phys. Oceanogr. 25 (1995) 359-373.
    • (1995) J. Phys. Oceanogr. , vol.25 , pp. 359-373
    • Helfrich, K.R.1
  • 17
    • 0004143210 scopus 로고
    • Academic Press Inc., San Diego 638 p
    • P.K. Kundu, Fluid Mechanics. Academic Press Inc., San Diego (1990) 638 p.
    • (1990) Fluid Mechanics
    • Kundu, P.K.1
  • 18
    • 0007638982 scopus 로고    scopus 로고
    • Existence theory for the riemann problem for non-conservative hyperbolic systems
    • P.G. Lefloch and A.E. Tzavaras, Existence theory for the Riemann problem for non-conservative hyperbolic systems. C. R. Acad. Sci. Paris, Sér. I 323 (1996) 347-352.
    • (1996) C. R. Acad. Sci. Paris, Sér. I , vol.323 , pp. 347-352
    • Lefloch, P.G.1    Tzavaras, A.E.2
  • 19
    • 0033482178 scopus 로고    scopus 로고
    • Representation of weak limits and definition of nonconservative products
    • P.G. Lefloch and A.E. Tzavaras, Representation of weak limits and definition of nonconservative products. SIAM J. Math. Anal. 30 (1999) 1309-1342.
    • (1999) SIAM J. Math. Anal. , vol.30 , pp. 1309-1342
    • Lefloch, P.G.1    Tzavaras, A.E.2
  • 20
    • 2942757053 scopus 로고
    • Approximate riemann solvers, parameter vectors and difference schemes
    • P.L. Roe, Approximate Riemann solvers, parameter vectors and difference schemes. J. Comput. Phys. 43 (1981) 357-371.
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-371
    • Roe, P.L.1
  • 21
    • 0003092662 scopus 로고
    • Upwinding differenced schemes for hyperbolic conservation laws with source terms
    • C. Carasso, P.-A. Raviart, and D. Serre, Eds., Springer-Verlag, Berlin
    • P.L. Roe, Upwinding differenced schemes for hyperbolic conservation laws with source terms, in Proc. of the Conference on Hyperbolic Ṕroblems, C. Carasso, P.-A. Raviart, and D. Serre, Eds., Springer-Verlag, Berlin (1986) 41-51.
    • (1986) Proc. of the Conference on Hyperbolic Ṕroblems , pp. 41-51
    • Roe, P.L.1
  • 23
    • 0002699123 scopus 로고
    • Theoretical considerations on the motion of salt and fresh water
    • Joint meeting IAHR and Hyd. Div. ASCE., Sept.
    • J.B. Schijf and J.C. Schonfeld, Theoretical considerations on the motion of salt and fresh water, in Proc. of the Minn. Int. Hydraulics Conv. Joint meeting IAHR and Hyd. Div. ASCE., Sept. 1953 (1953) 321-333.
    • (1953) Proc. of the Minn. Int. Hydraulics Conv. , vol.1953 , pp. 321-333
    • Schijf, J.B.1    Schonfeld, J.C.2
  • 24
    • 0003933895 scopus 로고
    • Interscience, New York
    • J.J. Stoker, Water Waves. Interscience, New York (1957).
    • (1957) Water Waves
    • Stoker, J.J.1
  • 27
    • 0348194970 scopus 로고    scopus 로고
    • Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
    • M.E. Vázquez-Cendón, Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry. J. Comp. Physics 148 (1999) 497-526.
    • (1999) J. Comp. Physics , vol.148 , pp. 497-526
    • Vázquez-Cendón, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.