메뉴 건너뛰기




Volumn 192, Issue 1-2, 2003, Pages 203-225

A family of stable numerical solvers for the shallow water equations with source terms

Author keywords

Finite volume method; Shallow water; Source terms; Upwinding

Indexed keywords

NUMERICAL ANALYSIS; WATER; EQUATIONS OF MOTION; FINITE VOLUME METHOD; LINEAR STABILITY ANALYSIS;

EID: 0037414916     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(02)00551-0     Document Type: Article
Times cited : (67)

References (13)
  • 1
    • 0032030398 scopus 로고    scopus 로고
    • Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes
    • A.Bermudez, A.Dervieux, J.A.Desideri, M.E.Vázquez Cendón, Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes, Comput.Meth.Appl. Mech.Engrg.155 (49) (1998).
    • (1998) Comput. Meth. Appl. Mech. Engrg. , vol.155 , Issue.49
    • Bermudez, A.1    Dervieux, A.2    Desideri, J.A.3    Vazquez Cendon, M.E.4
  • 2
    • 0028534347 scopus 로고
    • Upwind methods for hyperbolic conservation laws with source terms
    • A. Bermúdez, M.E. Vázquez Cendón, Upwind methods for hyperbolic conservation laws with source terms, Comput.Fluids 23 (8) (1994) 1049-1071.
    • (1994) Comput. Fluids , vol.23 , Issue.8 , pp. 1049-1071
    • Bermúdez, A.1    Vázquez Cendón, M.E.2
  • 4
    • 0035975580 scopus 로고    scopus 로고
    • Efficient construction of high-resolution TVD conservative schemes for equations with source terms Application to shallow water flows
    • J. Burguete, P. García-Navarro, Efficient construction of high-resolution TVD conservative schemes for equations with source terms, Application to shallow water flows, Int. J. Numer. Meth. Fluids 37 (2001) 209-248.
    • (2001) Int. J. Numer. Meth. Fluids , vol.37 , pp. 209-248
    • Burguete, J.1    García-Navarro, P.2
  • 8
    • 0345999927 scopus 로고    scopus 로고
    • Technical Report HE-43/97/016/A, Electricité de France, Département Laboratoire National d'Hydraulique, Groude Hydraulique Fluviale
    • N. Goutal, F. Maurel, in: Proceedings of the 2nd Workshop on Dam-Break Wave Simulation, Technical Report HE-43/97/016/A, Electricité de France, Département Laboratoire National d'Hydraulique, Groude Hydraulique Fluviale, 1997.
    • (1997) Proceedings of the 2nd Workshop on Dam-Break Wave Simulation
    • Goutal, N.1    Maurel, F.2
  • 9
    • 0000542076 scopus 로고
    • A study of numerical methods for hyperbolic conservation laws with stiff source terms
    • LeVeque, H.C. Yee, A study of numerical methods for hyperbolic conservation laws with sti. source terms, J. Comput. Phys. 86 (1990) 187-210.
    • (1990) J. Comput. Phys. , vol.86 , pp. 187-210
    • LeVeque1    Yee, H.C.2
  • 12
    • 0348194970 scopus 로고    scopus 로고
    • M.E. Vázquez Cendón, Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry, J.Comput. Phys.148 (1999) 497-526.
    • (1999) J. Comput. Phys. , vol.148 , pp. 497-526
    • Vazquez, M.E.1
  • 13
    • 0002690008 scopus 로고    scopus 로고
    • The surface gradient method for the treatment of source terms in the shallow-water equations
    • J.G. Zhou, D.M. Causon, C.G. Mingham, D.M. Ingram, The surface gradient method for the treatment of source terms in the shallow-water equations, J.Comput. Phys.168 (1-25) (2001).
    • (2001) J. Comput. Phys. , vol.168 , Issue.1-25
    • Zhou, J.G.1    Causon, D.M.2    Mingham, C.G.3    Ingram, D.M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.