메뉴 건너뛰기




Volumn 155, Issue 1-2, 1998, Pages 49-72

Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FINITE VOLUME METHOD; FLOW OF WATER; MATHEMATICAL MODELS; WATER WAVES; WIND EFFECTS;

EID: 0032030398     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)85625-3     Document Type: Article
Times cited : (179)

References (19)
  • 1
    • 0027561554 scopus 로고
    • A high-resolution Godunov-type scheme in finite volumes for the 2d shallow-water equations
    • F. Alcrudo and P. García-Navarro, A high-resolution Godunov-type scheme in finite volumes for the 2d shallow-water equations, Int. J. Numer. Methods Fluids 16 (1993) 489-505.
    • (1993) Int. J. Numer. Methods Fluids , vol.16 , pp. 489-505
    • Alcrudo, F.1    García-Navarro, P.2
  • 2
    • 0002567973 scopus 로고
    • Solving shallow water equations by a mixed implicit finite element method
    • A. Bermúdez, C. Rodríguez and M.A. Vilar, Solving shallow water equations by a mixed implicit finite element method, IMA J. Numer. Anal. 11 (1991) 79-97.
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 79-97
    • Bermúdez, A.1    Rodríguez, C.2    Vilar, M.A.3
  • 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, Comput. Fluids 23 (1994) 1049-1071.
    • (1994) Comput. Fluids , vol.23 , pp. 1049-1071
    • Bermúdez, A.1    Vázquez, M.E.2
  • 4
    • 0002013319 scopus 로고
    • Semi-implicit finite difference methods for the two-dimensional shallow water equations
    • V. Casulli, Semi-implicit finite difference methods for the two-dimensional shallow water equations, J. Comput. Phys. (1990) 56-74.
    • (1990) J. Comput. Phys. , pp. 56-74
    • Casulli, V.1
  • 5
    • 0015762231 scopus 로고
    • Conforming and non-conforming finite-element methods for solving the stationary stokes equations
    • M. Crouzeix and P.A. Raviart, Conforming and non-conforming finite-element methods for solving the stationary stokes equations, RAIRO R-3 (1973) 33-75.
    • (1973) RAIRO R-3 , pp. 33-75
    • Crouzeix, M.1    Raviart, P.A.2
  • 7
    • 0025473498 scopus 로고
    • Explicit methods for 2-D transient free-surface flows
    • R.J. Fennema and M.H. Chaudhry, Explicit methods for 2-D transient free-surface flows, J. Hyd. Engrg. 116(8) (1990) 1013-1034.
    • (1990) J. Hyd. Engrg. , vol.116 , Issue.8 , pp. 1013-1034
    • Fennema, R.J.1    Chaudhry, M.H.2
  • 9
    • 0023697804 scopus 로고
    • Approximate Riemann solutions of the shallow water equations
    • P. Glaister, Approximate Riemann solutions of the shallow water equations, J. Hydraulic Res. 26 (1988) 293-305.
    • (1988) J. Hydraulic Res. , vol.26 , pp. 293-305
    • Glaister, P.1
  • 10
    • 38149144411 scopus 로고
    • An efficient numerical scheme for the two-dimensional shallow water equations using arithmetic averaging
    • P. Glaister, An efficient numerical scheme for the two-dimensional shallow water equations using arithmetic averaging, Comput. Math. Applic. 27 (1994) 97-117.
    • (1994) Comput. Math. Applic. , vol.27 , pp. 97-117
    • Glaister, P.1
  • 11
    • 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(1) 1-23 (1984).
    • (1984) SIAM J. Numer. Anal. , vol.21 , Issue.1 , pp. 1-23
    • Harten, A.1
  • 12
    • 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
  • 14
    • 49049151571 scopus 로고
    • Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
    • J. Steger and R.F. Warming, Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods, J. Comput. Phys. 40 (1981).
    • (1981) J. Comput. Phys. , vol.40
    • Steger, J.1    Warming, R.F.2
  • 15
    • 0003933895 scopus 로고
    • Interscience, New York
    • J.J. Stoker, Water Waves (Interscience, New York, 1957).
    • (1957) Water Waves
    • Stoker, J.J.1
  • 19
    • 0001646536 scopus 로고
    • Transonic flow simulations using an upstream centered scheme of godunov in finite elements
    • G. Vijayasundaram, Transonic flow simulations using an upstream centered scheme of Godunov in finite elements, J. Comput. Phys. 63 (1986) 416-433.
    • (1986) J. Comput. Phys. , vol.63 , pp. 416-433
    • Vijayasundaram, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.