메뉴 건너뛰기




Volumn 106, Issue 3, 2007, Pages 369-425

Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34248146085     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-007-0069-y     Document Type: Article
Times cited : (103)

References (19)
  • 1
    • 48349083249 scopus 로고
    • A second-order Godunov-type scheme for compressible fluid dynamics
    • Ben-Artzi, M., Falcovitz, J.: A second-order Godunov-type scheme for compressible fluid dynamics. J. Comput. Phys. 55(1), 1-32 (1984)
    • (1984) J. Comput. Phys , vol.55 , Issue.1 , pp. 1-32
    • Ben-Artzi, M.1    Falcovitz, J.2
  • 2
    • 0000622551 scopus 로고
    • An upwind second-order scheme for compressible duct flows
    • Ben-Artzi, M., Falcovitz, J.: An upwind second-order scheme for compressible duct flows. SIAM J. Sci. Statist. Comput. 7(3), 744-768 (1986)
    • (1986) SIAM J. Sci. Statist. Comput , vol.7 , Issue.3 , pp. 744-768
    • Ben-Artzi, M.1    Falcovitz, J.2
  • 3
    • 0002915665 scopus 로고
    • The generalized Riemann problem for reactive flows
    • Ben-Artzi, M.: The generalized Riemann problem for reactive flows. J. Comput. Phys. 81(1), 70-101 (1989)
    • (1989) J. Comput. Phys , vol.81 , Issue.1 , pp. 70-101
    • Ben-Artzi, M.1
  • 5
    • 33748558739 scopus 로고    scopus 로고
    • A direct Eulerian GRP scheme for compressible fluid flows
    • Ben-Artzi, M., Li, J., Warnecke, G.: A direct Eulerian GRP scheme for compressible fluid flows. J. Comp. Phys. 218, 19-43 (2006)
    • (2006) J. Comp. Phys , vol.218 , pp. 19-43
    • Ben-Artzi, M.1    Li, J.2    Warnecke, G.3
  • 6
    • 4644292071 scopus 로고    scopus 로고
    • Frontal geostrophic adjustment and nonlinear wave phenomena in one dimensional rotating shallow water. Part 2: High resolution numerical simulations
    • Bouchut, F., Le Sommer, J., Zeitlin, V.: Frontal geostrophic adjustment and nonlinear wave phenomena in one dimensional rotating shallow water. Part 2: High resolution numerical simulations. J. Fluid Mech. 514, 35-63 (2004)
    • (2004) J. Fluid Mech , vol.514 , pp. 35-63
    • Bouchut, F.1    Le Sommer, J.2    Zeitlin, V.3
  • 7
    • 0040686631 scopus 로고
    • An asymptotic expansion for the solution of the generalized Riemann problem. II. Application to the equations of gas dynamics
    • Bourgeade, A., LeFloch, Ph., Raviart, P.-A.: An asymptotic expansion for the solution of the generalized Riemann problem. II. Application to the equations of gas dynamics. Ann. Inst. H. Poincar Anal. Non Linaire 6(6), 437-480 (1989)
    • (1989) Ann. Inst. H. Poincar Anal. Non Linaire , vol.6 , Issue.6 , pp. 437-480
    • Bourgeade, A.1    LeFloch, P.2    Raviart, P.-A.3
  • 9
    • 0000935266 scopus 로고
    • A finite difference method for the numerical computation and disontinuous solutions of the equations of fluid dynamics
    • Godunov, S.K.: A finite difference method for the numerical computation and disontinuous solutions of the equations of fluid dynamics. Mat. Sb. 47, 271-295 (1959)
    • (1959) Mat. Sb , vol.47 , pp. 271-295
    • Godunov, S.K.1
  • 10
    • 34248153765 scopus 로고    scopus 로고
    • Godlewski, E., Raviart, P.-A.: Numerical approximation of hyperbolic systems of conservation laws. Appl. Math. Sci. 118, Springer, Heidelberg (1996)
    • Godlewski, E., Raviart, P.-A.: Numerical approximation of hyperbolic systems of conservation laws. Appl. Math. Sci. 118, Springer, Heidelberg (1996)
  • 11
    • 0035537697 scopus 로고    scopus 로고
    • A steady-state capturing method for hyperbolic systems with geometrical source terms. M2 AN
    • Jin, S.: A steady-state capturing method for hyperbolic systems with geometrical source terms. M2 AN Math. Model. Numer. Anal. 35( 4), 631-645 (2001)
    • (2001) Math. Model. Numer. Anal , vol.35 , Issue.4 , pp. 631-645
    • Jin, S.1
  • 12
    • 2442433925 scopus 로고    scopus 로고
    • Leer, B. van : Towards the ultimate conservative difference scheme, V. A second-order sequel to Godunov's method. J. Comput. Phys. 32(1), 101-136 (1979)
    • Leer, B. van : Towards the ultimate conservative difference scheme, V. A second-order sequel to Godunov's method. J. Comput. Phys. 32(1), 101-136 (1979)
  • 13
    • 31644440859 scopus 로고    scopus 로고
    • The generalized Riemann problem method for the shallow water equations with bottom topography
    • Li, J., Chen, G.: The generalized Riemann problem method for the shallow water equations with bottom topography. Int. J. Numer. Methods Eng. 65(6), 834-862 (2006)
    • (2006) Int. J. Numer. Methods Eng , vol.65 , Issue.6 , pp. 834-862
    • Li, J.1    Chen, G.2
  • 15
    • 0038908817 scopus 로고
    • An asymptotic expansion for the solution of the generalized Riemann problem. I. General theory
    • LeFloch, Ph., Raviart, P.-A.: An asymptotic expansion for the solution of the generalized Riemann problem. I. General theory. Ann. Inst. H. Poincar Anal. Non Linaire 5(2), 179-207 (1988)
    • (1988) Ann. Inst. H. Poincar Anal. Non Linaire , vol.5 , Issue.2 , pp. 179-207
    • LeFloch, P.1    Raviart, P.-A.2
  • 17
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • Sweby, P.K.: High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM J. Numer. Anal. 21(5), 995-1011 (1984)
    • (1984) SIAM J. Numer. Anal , vol.21 , Issue.5 , pp. 995-1011
    • Sweby, P.K.1
  • 19
    • 29144466580 scopus 로고    scopus 로고
    • Derivative Riemann solvers for systems of conservation laws and ADER methods
    • Toro, E.: Derivative Riemann solvers for systems of conservation laws and ADER methods. J. Comp. Phys. 212, 150-165 (2006)
    • (2006) J. Comp. Phys , vol.212 , pp. 150-165
    • Toro, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.