메뉴 건너뛰기




Volumn 48, Issue 10, 2005, Pages 1149-1174

An upstream flux-splitting finite-volume scheme for 2D shallow water equations

Author keywords

Artificially upstream flux vector splitting method; Finite volume method; Riemann problem; Shallow water equations

Indexed keywords

HYDRAULICS; PROBLEM SOLVING; VECTORS; WIND;

EID: 23044455430     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.974     Document Type: Article
Times cited : (22)

References (30)
  • 3
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe PL. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics 1981; 43:357-372.
    • (1981) Journal of Computational Physics , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 4
    • 84968510942 scopus 로고
    • Upwind difference schemes for hyperbolic systems of conservation laws
    • Osher S, Solomone F. Upwind difference schemes for hyperbolic systems of conservation laws. Mathematics and Computers in Simulation 1982; 38:339-374.
    • (1982) Mathematics and Computers in Simulation , vol.38 , pp. 339-374
    • Osher, S.1    Solomone, F.2
  • 5
    • 49049151571 scopus 로고
    • Flux vector splitting of the inviscid gas dynamic equations with application to finite difference methods
    • Steger JL, Warming RF. Flux vector splitting of the inviscid gas dynamic equations with application to finite difference methods. Journal of Computational Physics 1981; 40:263-293.
    • (1981) Journal of Computational Physics , vol.40 , pp. 263-293
    • Steger, J.L.1    Warming, R.F.2
  • 7
    • 0037108398 scopus 로고    scopus 로고
    • Simulating the hydraulic characteristics of the lower Yellow River by the finite-volume technique
    • Wan Q, Wan H, Zhou C, Wu Y. Simulating the hydraulic characteristics of the lower Yellow River by the finite-volume technique. Hydrological Processes 2002; 16(14):2767-2769.
    • (2002) Hydrological Processes , vol.16 , Issue.14 , pp. 2767-2769
    • Wan, Q.1    Wan, H.2    Zhou, C.3    Wu, Y.4
  • 9
    • 0031171448 scopus 로고    scopus 로고
    • Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes
    • Anastasiou K, Chan CT. Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes. International Journal for Numerical Methods in Fluids 1997; 24: 1225-1245.
    • (1997) International Journal for Numerical Methods in Fluids , vol.24 , pp. 1225-1245
    • Anastasiou, K.1    Chan, C.T.2
  • 10
    • 0032078628 scopus 로고    scopus 로고
    • An unstructured finite-volume algorithm for predicting flow in rivers and estuaries
    • Sleigh PA, Gaskell PH, Berzins M, Wright NG. An unstructured finite-volume algorithm for predicting flow in rivers and estuaries. Computers and Fluids 1998; 27(4):479-508.
    • (1998) Computers and Fluids , vol.27 , Issue.4 , pp. 479-508
    • Sleigh, P.A.1    Gaskell, P.H.2    Berzins, M.3    Wright, N.G.4
  • 11
    • 0032850147 scopus 로고    scopus 로고
    • Explicit finite volume non-oscillatory schemes for 2D transient free-surface flows
    • Tseng MH. Explicit finite volume non-oscillatory schemes for 2D transient free-surface flows. International Journal for Numerical Methods in Fluids 1999; 30:831-843.
    • (1999) International Journal for Numerical Methods in Fluids , vol.30 , pp. 831-843
    • Tseng, M.H.1
  • 12
    • 0033709421 scopus 로고    scopus 로고
    • Two-dimensional shallow water flows simulation using TVD-MacCormack scheme
    • Tseng MH, Chu CR. Two-dimensional shallow water flows simulation using TVD-MacCormack scheme. Journal of Hydraulic Research 2000; 38 (2):123-131.
    • (2000) Journal of Hydraulic Research , vol.38 , Issue.2 , pp. 123-131
    • Tseng, M.H.1    Chu, C.R.2
  • 14
    • 0032096503 scopus 로고    scopus 로고
    • High-resolution finite-volume method for shallow water flows
    • Mingham CG, Causon DM. High-resolution finite-volume method for shallow water flows. Journal of Hydraulic Engineering 1998; 124 (6):605-614.
    • (1998) Journal of Hydraulic Engineering , vol.124 , Issue.6 , pp. 605-614
    • Mingham, C.G.1    Causon, D.M.2
  • 16
    • 0033452133 scopus 로고    scopus 로고
    • Advances in calculation methods for supercritical flow in spillway channels
    • Causon DM, Mingham CG, Ingram DM. Advances in calculation methods for supercritical flow in spillway channels. Journal of Hydraulic Engineering 1999; 125(10):1039-1050.
    • (1999) Journal of Hydraulic Engineering , vol.125 , Issue.10 , pp. 1039-1050
    • Causon, D.M.1    Mingham, C.G.2    Ingram, D.M.3
  • 17
    • 0036565918 scopus 로고    scopus 로고
    • Case study: Malpasset Dam-break simulation using a two-dimensional finite volume method
    • Valiani A, Caleffi V, Zanni A. Case study: Malpasset Dam-break simulation using a two-dimensional finite volume method. Journal of Hydraulic Engineering 2002; 28(5):460-472.
    • (2002) Journal of Hydraulic Engineering , vol.28 , Issue.5 , pp. 460-472
    • Valiani, A.1    Caleffi, V.2    Zanni, A.3
  • 18
    • 0032851513 scopus 로고    scopus 로고
    • Catastrophic collapse of water supply reservoirs in urban areas
    • Zoppou C, Roberts S. Catastrophic collapse of water supply reservoirs in urban areas. Journal of Hydraulic Engineering 1999; 125 (7):686-695.
    • (1999) Journal of Hydraulic Engineering , vol.125 , Issue.7 , pp. 686-695
    • Zoppou, C.1    Roberts, S.2
  • 19
    • 0030322009 scopus 로고    scopus 로고
    • Approximate Riemann solvers in FVM for 2D hydraulic shock wave modeling
    • Zhao DH, Shen HW, Lai JS, Tabios GQ. Approximate Riemann solvers in FVM for 2D hydraulic shock wave modeling. Journal of Hydraulic Engineering 1996; 122(12):692-702.
    • (1996) Journal of Hydraulic Engineering , vol.122 , Issue.12 , pp. 692-702
    • Zhao, D.H.1    Shen, H.W.2    Lai, J.S.3    Tabios, G.Q.4
  • 20
    • 0042768711 scopus 로고    scopus 로고
    • Finite-volume component-wise TVD schemes for 2D shallow water equations
    • Lin GF, Lai JS, Guo WD. Finite-volume component-wise TVD schemes for 2D shallow water equations. Advances in Water Resources 2003; 26 (8):861-873.
    • (2003) Advances in Water Resources , vol.26 , Issue.8 , pp. 861-873
    • Lin, G.F.1    Lai, J.S.2    Guo, W.D.3
  • 22
    • 0037777628 scopus 로고    scopus 로고
    • An artificially upstream flux vector splitting scheme for the Euler equations
    • Sun M, Takayama K. An artificially upstream flux vector splitting scheme for the Euler equations. Journal of Computational Physics 2003; 189:305-329.
    • (2003) Journal of Computational Physics , vol.189 , pp. 305-329
    • Sun, M.1    Takayama, K.2
  • 25
    • 0031129192 scopus 로고    scopus 로고
    • An accurate and robust flux splitting scheme for shock and contact discontinuities
    • Wada Y, Lious MS. An accurate and robust flux splitting scheme for shock and contact discontinuities. SIAM Journal on Scientific Computing 1997; 18(3):633-657.
    • (1997) SIAM Journal on Scientific Computing , vol.18 , Issue.3 , pp. 633-657
    • Wada, Y.1    Lious, M.S.2
  • 30
    • 2242419385 scopus 로고    scopus 로고
    • Dam-break flow through sharp bends. Physical models and 2d boltzmann model validation
    • European Commission, IBSN 92-828-7108-8
    • Sorares S, Sillen X, Zech Y. Dam-break flow through sharp bends. Physical models and 2d boltzmann model validation. European Commission, IBSN 92-828-7108-8, 1999.
    • (1999)
    • Sorares, S.1    Sillen, X.2    Zech, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.