메뉴 건너뛰기




Volumn 19, Issue 1, 2003, Pages 59-83

Improved application of the HLLE Riemann solver for the shallow water equations with source terms

Author keywords

Finite differences; HLLE Riemann solver; Shallow water equations; Source terms; Upwinding

Indexed keywords

APPROXIMATION THEORY; ENTROPY; HYDRAULICS; MATHEMATICAL MODELS; NUMERICAL METHODS;

EID: 0037280087     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.570     Document Type: Article
Times cited : (23)

References (23)
  • 1
    • 0000935266 scopus 로고
    • Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics
    • Godunov SK. Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics. Mathematicheskii Sbornik 1959; 47(3):271-306.
    • (1959) Mathematicheskii Sbornik , vol.47 , Issue.3 , pp. 271-306
    • Godunov, S.K.1
  • 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
  • 5
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • Harten PD, Lax PD, van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Review 1983; 25:35.
    • (1983) SIAM Review , vol.25 , pp. 35
    • Harten, P.D.1    Lax, P.D.2    van Leer, B.3
  • 6
    • 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.
    • (1998) Journal of Hydraulic Engineering , vol.124 , Issue.6 , pp. 605
    • Mingham, C.G.1    Causon, D.M.2
  • 7
    • 0033699525 scopus 로고    scopus 로고
    • Evaluation of some approximate Riemann solvers for transient open channel flows
    • Delis AI, Skeels CP, Ryrie SC. Evaluation of some approximate Riemann solvers for transient open channel flows. Journal of Hydraulic Research 2000; 38(3):217.
    • (2000) Journal of Hydraulic Research , vol.38 , Issue.3 , pp. 217
    • Delis, A.I.1    Skeels, C.P.2    Ryrie, S.C.3
  • 9
    • 0002203252 scopus 로고
    • Riemann problems and the WAF method for solving the two-dimensional shallow water equations
    • Toro EF. Riemann problems and the WAF method for solving the two-dimensional shallow water equations. Philosophical Transactions of Royal Society of London 1992; 338:43.
    • (1992) Philosophical Transactions of Royal Society of London , vol.338 , pp. 43
    • Toro, E.F.1
  • 10
    • 0348194970 scopus 로고    scopus 로고
    • Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
    • Vázquez-Cendón ME. Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry. Journal of Computational Physics 1999; 148:497-526.
    • (1999) Journal of Computational Physics , vol.148 , pp. 497-526
    • Vázquez-Cendón, M.E.1
  • 11
    • 0033838423 scopus 로고    scopus 로고
    • On numerical treatment of the source terms in the shallow water equations
    • Garcia-Navarro P, Vázquez-Cebdón ME. On numerical treatment of the source terms in the shallow water equations. Computers and Fluids 2000; 29:951-979.
    • (2000) Computers and Fluids , vol.29 , pp. 951-979
    • Garcia-Navarro, P.1    Vázquez-Cebdón, M.E.2
  • 12
    • 0011032642 scopus 로고    scopus 로고
    • Flux difference splitting and the balancing of source terms and flux gradients
    • Hubbard ME, Garcia-Navarro P. Flux difference splitting and the balancing of source terms and flux gradients. Journal of Computational Physics 2000; 165:89-125.
    • (2000) Journal of Computational Physics , vol.165 , pp. 89-125
    • Hubbard, M.E.1    Garcia-Navarro, P.2
  • 15
    • 0028534347 scopus 로고
    • Upwind methods for hyperbolic conservation laws with source terms
    • Bermudez A, Vázquez ME. Upwind methods for hyperbolic conservation laws with source terms. Computers and Fluids 1994; 23(8):1049.
    • (1994) Computers and Fluids , vol.23 , Issue.8 , pp. 1049
    • Bermudez, A.1    Vázquez, M.E.2
  • 16
    • 0003092662 scopus 로고
    • Upwind differenced schemes for hyperbolic conservation laws with source terms
    • Carasso, Raviart, Serre (eds). Springer: St. Etienne, Berlin
    • Roe PL. Upwind differenced schemes for hyperbolic conservation laws with source terms. In Proceedings of the Conference on Hyperbolic Problems, Carasso, Raviart, Serre (eds). Springer: St. Etienne, Berlin, 1986; 41-51.
    • (1986) Proceedings of the Conference on Hyperbolic Problems , pp. 41-51
    • Roe, P.L.1
  • 17
    • 0346226847 scopus 로고    scopus 로고
    • HE-43/97/016/B, Départment Laboratoire National d'Hydraulic, Groupe Hydraulic Fluviale Electricité de Fracne, France
    • Goutal N, Maurel F. In Proceedings of the 2nd Workshop on Dam-Break Wave Simulation. HE-43/97/016/B, Départment Laboratoire National d'Hydraulic, Groupe Hydraulic Fluviale Electricité de Fracne, France, 1997.
    • (1997) Proceedings of the 2nd Workshop on Dam-Break Wave Simulation
    • Goutal, N.1    Maurel, F.2
  • 19
    • 0001315315 scopus 로고    scopus 로고
    • Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
    • LeVeque RJ. Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. Journal of Computational Physics 1998; 146:346.
    • (1998) Journal of Computational Physics , vol.146 , pp. 346
    • LeVeque, R.J.1
  • 22
    • 0029540991 scopus 로고
    • Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems
    • Fraccarollo L, Toro EF. Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems. Journal of Hydraulic Research 1995; 33:843.
    • (1995) Journal of Hydraulic Research , vol.33 , pp. 843
    • Fraccarollo, L.1    Toro, E.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.