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Volumn 227, Issue 24, 2008, Pages 10058-10077

Generalized Roe schemes for 1D two-phase, free-surface flows over a mobile bed

Author keywords

Free surface; Generalized Roe solvers; Mobile bed; Nonconservative product; Two phase flows; Weak solutions; Well balanced approach

Indexed keywords

NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 54449092153     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.08.007     Document Type: Article
Times cited : (45)

References (27)
  • 2
    • 85190570051 scopus 로고    scopus 로고
    • A. Armanini, L. Fraccarollo, G. Rosatti, Two-dimensional simulation of debris flows in erodible channels, Computers and Geosciences, doi:10.1016/j.cageo.2007.11.008 (in press).
    • A. Armanini, L. Fraccarollo, G. Rosatti, Two-dimensional simulation of debris flows in erodible channels, Computers and Geosciences, doi:10.1016/j.cageo.2007.11.008 (in press).
  • 4
    • 0035975580 scopus 로고    scopus 로고
    • Efficient construction of high-resolution TVD conservative schemes for equations with source terms: Application to shallow water flows
    • Burguete J., and García-Navarro P. Efficient construction of high-resolution TVD conservative schemes for equations with source terms: Application to shallow water flows. International Journal for Numerical Methods in Fluids 37 (2001) 209-248
    • (2001) International Journal for Numerical Methods in Fluids , vol.37 , pp. 209-248
    • Burguete, J.1    García-Navarro, P.2
  • 6
    • 0032183102 scopus 로고    scopus 로고
    • Formation of a jump by the dam-break wave over a granular bed
    • Capart H., and Young D.L. Formation of a jump by the dam-break wave over a granular bed. Journal of Fluid Mechanics 372 (1998) 165-187
    • (1998) Journal of Fluid Mechanics , vol.372 , pp. 165-187
    • Capart, H.1    Young, D.L.2
  • 7
    • 37249062775 scopus 로고    scopus 로고
    • Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique
    • Castro M., Milanés A.P., and Parés C. Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Mathematical Models and Methods in Applied Science 17 (2007) 2055-2113
    • (2007) Mathematical Models and Methods in Applied Science , vol.17 , pp. 2055-2113
    • Castro, M.1    Milanés, A.P.2    Parés, C.3
  • 8
    • 0003988292 scopus 로고
    • Numerical techniques in elastoplasticity
    • Non-Linear Hyperbolic Problems, Springer-Verlag, New York/Berlin
    • Colombeau J.F., and LeRoux A.Y. Numerical techniques in elastoplasticity. Non-Linear Hyperbolic Problems. Lecture Notes in Mathematics vol. 1270 (1987), Springer-Verlag, New York/Berlin 103-114
    • (1987) Lecture Notes in Mathematics , vol.1270 , pp. 103-114
    • Colombeau, J.F.1    LeRoux, A.Y.2
  • 9
    • 0041841219 scopus 로고    scopus 로고
    • Extension of ENO and WENO schemes to one-dimensional sediment transport equation
    • Črnjarić-Žic N., Vucović S., and Sopta L. Extension of ENO and WENO schemes to one-dimensional sediment transport equation. Computers and Fluids 33 (2004) 31-56
    • (2004) Computers and Fluids , vol.33 , pp. 31-56
    • Črnjarić-Žic, N.1    Vucović, S.2    Sopta, L.3
  • 11
    • 0037173224 scopus 로고    scopus 로고
    • Riemann wave description of erosional dam-break flows
    • Fraccarollo L., and Capart H. Riemann wave description of erosional dam-break flows. Journal of Fluid Mechanics 461 (2002) 183-228
    • (2002) Journal of Fluid Mechanics , vol.461 , pp. 183-228
    • Fraccarollo, L.1    Capart, H.2
  • 12
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • Harten A., Lax P.D., and Van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Review 25 1 (1983) 35-61
    • (1983) SIAM Review , vol.25 , Issue.1 , pp. 35-61
    • Harten, A.1    Lax, P.D.2    Van Leer, B.3
  • 13
    • 0346640328 scopus 로고    scopus 로고
    • Formulations for numerically approximating hyperbolic systems governing sediment transport
    • Hudson J., and Sweby P. Formulations for numerically approximating hyperbolic systems governing sediment transport. Journal of Scientific Computing 19 (2003) 225-252
    • (2003) Journal of Scientific Computing , vol.19 , pp. 225-252
    • Hudson, J.1    Sweby, P.2
  • 14
    • 0029473127 scopus 로고
    • A model for the runout analysis of rapid flow slides, debris flows, and avalanches
    • Hungr O. A model for the runout analysis of rapid flow slides, debris flows, and avalanches. Canadian Geotechnical Journal 32 (1995) 610-623
    • (1995) Canadian Geotechnical Journal , vol.32 , pp. 610-623
    • Hungr, O.1
  • 15
    • 0031414779 scopus 로고    scopus 로고
    • The physics of debris flows
    • Iverson R. The physics of debris flows. Reviews of Geophysics 35 (1997) 245-296
    • (1997) Reviews of Geophysics , vol.35 , pp. 245-296
    • Iverson, R.1
  • 16
    • 84946281240 scopus 로고
    • Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form
    • Le Floch Ph. Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form. Communications in Partial Differential Equations 13 (1988) 669-727
    • (1988) Communications in Partial Differential Equations , vol.13 , pp. 669-727
    • Le Floch, Ph.1
  • 18
    • 34249797566 scopus 로고    scopus 로고
    • The influence of source terms on stability, accuracy and conservation in two-dimensional shallow flow using triangular finite volumes
    • Murillo J., García-Navarro P., Burguete J., and Brufau P. The influence of source terms on stability, accuracy and conservation in two-dimensional shallow flow using triangular finite volumes. International Journal for Numerical Methods in Fluids 54 (2007) 543-590
    • (2007) International Journal for Numerical Methods in Fluids , vol.54 , pp. 543-590
    • Murillo, J.1    García-Navarro, P.2    Burguete, J.3    Brufau, P.4
  • 19
    • 10044294949 scopus 로고    scopus 로고
    • On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems
    • Parés C., and Castro M. On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems. ESAIM:M2AN 38 5 (2004) 821-852
    • (2004) ESAIM:M2AN , vol.38 , Issue.5 , pp. 821-852
    • Parés, C.1    Castro, M.2
  • 20
    • 33847668045 scopus 로고    scopus 로고
    • Numerical methods for nonconservative hyperbolic systems: A theoretical framework
    • Parés C. Numerical methods for nonconservative hyperbolic systems: A theoretical framework. SIAM Journal of Numerical Analysis 44 1 (2006) 300-321
    • (2006) SIAM Journal of Numerical Analysis , vol.44 , Issue.1 , pp. 300-321
    • Parés, C.1
  • 21
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe P. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics 43 (1981) 357-372
    • (1981) Journal of Computational Physics , vol.43 , pp. 357-372
    • Roe, P.1
  • 22
    • 33751005285 scopus 로고    scopus 로고
    • A well-balanced approach for flows over mobile-bed with high sediment transport
    • Rosatti G., and Fraccarollo L. A well-balanced approach for flows over mobile-bed with high sediment transport. Journal of Computational Physics 220 (2006) 312-338
    • (2006) Journal of Computational Physics , vol.220 , pp. 312-338
    • Rosatti, G.1    Fraccarollo, L.2
  • 23
    • 34247362107 scopus 로고    scopus 로고
    • Dam-break induced morphological changes in a channel with uniform sediments: measurements by a laser-sheet imaging technique
    • Soares-Frazão S., le Grelle N., Spinewine B., and Zech Y. Dam-break induced morphological changes in a channel with uniform sediments: measurements by a laser-sheet imaging technique. Journal of Hydraulic Research 45 SI (2007) 87-95
    • (2007) Journal of Hydraulic Research , vol.45 , Issue.SI , pp. 87-95
    • Soares-Frazão, S.1    le Grelle, N.2    Spinewine, B.3    Zech, Y.4
  • 24
    • 34247203107 scopus 로고    scopus 로고
    • Small-scale laboratory dam-break waves on movable beds
    • Spinewine B., and Zech Y. Small-scale laboratory dam-break waves on movable beds. Journal of Hydraulic Research 45 SI (2007) 73-86
    • (2007) Journal of Hydraulic Research , vol.45 , Issue.SI , pp. 73-86
    • Spinewine, B.1    Zech, Y.2
  • 26
    • 0018004798 scopus 로고
    • Mechanical characteristics of debris flow
    • Takahashi T. Mechanical characteristics of debris flow. Journal of Hydraulic Division ASCE 104 8 (1978) 1153-1169
    • (1978) Journal of Hydraulic Division ASCE , vol.104 , Issue.8 , pp. 1153-1169
    • Takahashi, T.1
  • 27
    • 0001124468 scopus 로고
    • A weak formulation of Roe's approximate Riemann solver
    • Toumi I. A weak formulation of Roe's approximate Riemann solver. Journal of Computational Physics 102 (1992) 360-373
    • (1992) Journal of Computational Physics , vol.102 , pp. 360-373
    • Toumi, I.1


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