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Volumn 55, Issue 3, 2004, Pages 365-382

A gas-kinetic scheme for shallow-water equations with source terms

Author keywords

Gas kinetic schemes; Shallow water equations; Source terms

Indexed keywords


EID: 2942563889     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-003-1119-7     Document Type: Article
Times cited : (45)

References (10)
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  • 2
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  • 3
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    • A well-balanced scheme for the numerical processing of source terms in hyperbolic equations
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    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1-16
    • Greenberg, J.M.1    LeRoux, A.Y.2
  • 4
    • 0035537697 scopus 로고    scopus 로고
    • A steady-state capturing method for hyperbolic system with geometrical source terms
    • S. Jin, A steady-state capturing method for hyperbolic system with geometrical source terms, Math. Model. Anal. 35 (2001), 631-646.
    • (2001) Math. Model. Anal. , vol.35 , pp. 631-646
    • Jin, S.1
  • 5
    • 0001315315 scopus 로고    scopus 로고
    • Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
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    • (1998) J. Comput. Phys. , vol.146 , pp. 346-365
    • LeVeque, R.J.1
  • 6
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    • Direct simulations methods for compressible inviscid ideal gas-flows
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    • Pullin, D.I.1
  • 7
    • 0003092662 scopus 로고
    • Upwind difference schemes for hyperbolic conservation laws with source terms
    • eds. Carasso, Raviart and Serre, Springer
    • P. L. Roe, Upwind difference schemes for hyperbolic conservation laws with source terms, Proc. Conference Hyperbolic Problems, eds. Carasso, Raviart and Serre, Springer, pp. 41-51 (1986).
    • (1986) Proc. Conference Hyperbolic Problems , pp. 41-51
    • Roe, P.L.1
  • 8
    • 0033240198 scopus 로고    scopus 로고
    • Gas-kinetic schemes for the compressible Euler equations: Positivitypreserving analysis
    • T. Tang and K. Xu, Gas-kinetic schemes for the compressible Euler equations: positivitypreserving analysis, ZAMP 50 (1999), 258-281.
    • (1999) ZAMP , vol.50 , pp. 258-281
    • Tang, T.1    Xu, K.2
  • 9
    • 0348194970 scopus 로고    scopus 로고
    • Improved treatment of source terms in upwind schemes for shallow water equations in channels with irregular geometry
    • M. E. Vazquez-Cendon, Improved treatment of source terms in upwind schemes for shallow water equations in channels with irregular geometry, J. Comput. Phys. 148 (1999), 497-526.
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    • Vazquez-Cendon, M.E.1
  • 10
    • 0033279018 scopus 로고    scopus 로고
    • A gas-kinetic scheme for the Euler equations with heat transfer
    • K. Xu, A gas-kinetic scheme for the Euler equations with heat transfer, SIAM J. Sci. Comput. 20 (1999), 1317-1335.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1317-1335
    • Xu, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.