메뉴 건너뛰기




Volumn 124, Issue 6, 1998, Pages 605-614

HIGH-RESOLUTION FINITE-VOLUME METHOD FOR SHALLOW WATER FLOWS

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; RUNGE KUTTA METHODS; WAVE PROPAGATION; APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; FINITE VOLUME METHOD; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 0032096503     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(1998)124:6(605)     Document Type: Article
Times cited : (201)

References (47)
  • 1
    • 0015571557 scopus 로고
    • SYSTEM 21, 'Jupiter', (a design system for two dimensional nearly horizontal flows)
    • Abbot, M., Damsgaard, A., and Rodenhuis, G. (1973). "SYSTEM 21, 'Jupiter', (a design system for two dimensional nearly horizontal flows)." J. Hydr. Res., Delft, The Netherlands, 11, 1-28.
    • (1973) J. Hydr. Res., Delft, The Netherlands , vol.11 , pp. 1-28
    • Abbot, M.1    Damsgaard, A.2    Rodenhuis, G.3
  • 2
    • 0023728045 scopus 로고
    • Model for flood propagation on initially dry land
    • Akanbi, A., and Katopodes, N. (1988). "Model for flood propagation on initially dry land." J. Hydr. Engrg., ASCE, 114(7), 689-706.
    • (1988) J. Hydr. Engrg., ASCE , vol.114 , Issue.7 , pp. 689-706
    • Akanbi, A.1    Katopodes, N.2
  • 3
    • 0027561554 scopus 로고
    • A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
    • Alcrudo, F., and Garcia-Navarro, P. (1993). "A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations." Int. J. Numer. Methods in Fluids, 16, 489-505.
    • (1993) Int. J. Numer. Methods in Fluids , vol.16 , pp. 489-505
    • Alcrudo, F.1    Garcia-Navarro, P.2
  • 5
    • 0343693411 scopus 로고
    • Solving the shallow water equations using a non-orthogonal curvilinear coordinate system
    • R. Falconer, ed., Ashgate Publishing Co., Brookfield, Vt
    • Barber, R. (1992). "Solving the shallow water equations using a non-orthogonal curvilinear coordinate system." Hydraulic and environmental modelling: Coastal waters, R. Falconer, ed., Ashgate Publishing Co., Brookfield, Vt., 469-480.
    • (1992) Hydraulic and environmental modelling: Coastal waters , pp. 469-480
    • Barber, R.1
  • 6
    • 0026108824 scopus 로고
    • Computation of two dimensional dam break induced flows
    • Bellos, C, Soulis, J., and Sakkas, J. (1991). "Computation of two dimensional dam break induced flows." Adv. in Water Resour., 14(1), 31-41.
    • (1991) Adv. in Water Resour. , vol.14 , Issue.1 , pp. 31-41
    • Bellos, C.1    Soulis, J.2    Sakkas, J.3
  • 7
    • 0003309456 scopus 로고
    • An adaptive Cartesian mesh algorithm for the Euler equations in arbitrary geometries
    • Res-ton, Va
    • Berger, M., and LeVeque, R. (1989). "An adaptive Cartesian mesh algorithm for the Euler equations in arbitrary geometries." AIAA Paper 89-1930-CP American Institute of Aeronautics and Astronautics, Res-ton, Va.
    • (1989) American Institute of Aeronautics and Astronautics
    • Berger, M.1    LeVeque, R.2
  • 8
    • 0030640667 scopus 로고    scopus 로고
    • On WAF-type schemes for multidimensional hyperbolic conservation laws
    • Billett, S. J., and Toro, E. F. (1997). "On WAF-type schemes for multidimensional hyperbolic conservation laws." J. Computational Phys., 130, 1-24.
    • (1997) J. Computational Phys. , vol.130 , pp. 1-24
    • Billett, S.J.1    Toro, E.F.2
  • 9
    • 0026613421 scopus 로고
    • River and reservoir flow modelling using the transformed shallow water equations
    • Borthwick, A., and Barber, R. (1992). "River and reservoir flow modelling using the transformed shallow water equations." Int. J. Numer. Methods in Fluids, 14, 1193-1217.
    • (1992) Int. J. Numer. Methods in Fluids , vol.14 , pp. 1193-1217
    • Borthwick, A.1    Barber, R.2
  • 10
    • 15144344540 scopus 로고
    • The use of CFD techniques to investigate the physical nature of engine surge and its effect on a twin engine intake duct system
    • Royal Aeronautical Society, London, U.K
    • Causon, D., Clench, T., and Ingram, D. (1992). "The use of CFD techniques to investigate the physical nature of engine surge and its effect on a twin engine intake duct system." Engine/Air-Frame Integration Conference, Royal Aeronautical Society, London, U.K., 12.1-12.17.
    • (1992) Engine/Air-Frame Integration Conference , pp. 121-1217
    • Causon, D.1    Clench, T.2    Ingram, D.3
  • 11
    • 0022078309 scopus 로고
    • Numerical solution of the Euler equations for three dimensional flows
    • Causon, D., and Ford, P. (1985). "Numerical solution of the Euler equations for three dimensional flows." The Aeronautical J., 89(886), 226-241.
    • (1985) The Aeronautical J , vol.89 , Issue.886 , pp. 226-241
    • Causon, D.1    Ford, P.2
  • 12
    • 15144352285 scopus 로고
    • On Godunov-type methods for the Euler equations with general equations of state
    • Aachen, Germany
    • Einfeldt, B. (1988). "On Godunov-type methods for the Euler equations with general equations of state." 2nd Int. Conf. on Hyperbolic Problems, Aachen, Germany.
    • (1988) 2nd Int. Conf. on Hyperbolic Problems
    • Einfeldt, B.1
  • 13
    • 0018982276 scopus 로고
    • Numerical modeling of tidal circulation in harbors
    • Falconer, R. A. (1980). "Numerical modeling of tidal circulation in harbors." J. Wtrwy., Port, Coast., and Oc. Div., ASCE, 106(1), 31-48.
    • (1980) J. Wtrwy., Port, Coast., and Oc. Div., ASCE , vol.106 , Issue.1 , pp. 31-48
    • Falconer, R.A.1
  • 14
    • 0025473498 scopus 로고
    • Explicit methods for 2-D transient free-surface flows
    • Fennema, R. J., and Chaudhry, M. H. (1990). "Explicit methods for 2-D transient free-surface flows." J. Hydr. Engrg., ASCE, 116(11), 1013-1034.
    • (1990) J. Hydr. Engrg., ASCE , vol.116 , Issue.11 , pp. 1013-1034
    • Fennema, R.J.1    Chaudhry, M.H.2
  • 15
    • 0029540991 scopus 로고
    • Experimental and numerical assessment of the shallow water model for two dimensional dam-break type problems
    • Fraccarollo, L., and Toro, E. (1995). "Experimental and numerical assessment of the shallow water model for two dimensional dam-break type problems." J. Hydr. Res., Delft, The Netherlands, 33(6), 843-864.
    • (1995) J. Hydr. Res., Delft, The Netherlands , vol.33 , Issue.6 , pp. 843-864
    • Fraccarollo, L.1    Toro, E.2
  • 16
    • 33744891732 scopus 로고
    • Numerical solution of the St. Venant equations with the MacCormack finite difference scheme
    • Garcia, R., and Kahawitha, R. (1986). "Numerical solution of the St. Venant equations with the MacCormack finite difference scheme." Int. J. Numer. Methods in Fluids, 6, 507-527.
    • (1986) Int. J. Numer. Methods in Fluids , vol.6 , pp. 507-527
    • Garcia, R.1    Kahawitha, R.2
  • 17
    • 0027333687 scopus 로고
    • Flux difference splitting for open-channel flows
    • Glaister, P. (1993). "Flux difference splitting for open-channel flows." Int. J. Numer. Methods in Fluids, 16, 629-654.
    • (1993) Int. J. Numer. Methods in Fluids , vol.16 , pp. 629-654
    • Glaister, P.1
  • 18
    • 0013198830 scopus 로고
    • Nonstationary flows and shock waves
    • Clarendon Press, Oxford, U.K
    • Glass, I., and Sislian, J. (1994). Nonstationary flows and shock waves. Oxford Engineering Science, No. 39, Clarendon Press, Oxford, U.K.
    • (1994) Oxford Engineering Science , vol.39
    • Glass, I.1    Sislian, J.2
  • 19
    • 0000935266 scopus 로고
    • A difference scheme for numerical computation of discontinuous solution of hydrodynamic equations
    • Godunov, S. (1959). "A difference scheme for numerical computation of discontinuous solution of hydrodynamic equations." Math. Sbornik, 43, 271-306
    • (1959) Math. Sbornik , vol.43 , pp. 271-306
    • Godunov, S.1
  • 20
    • 85140462799 scopus 로고
    • U.S. Joint Publication Research Service
    • Translated
    • Godunov, S. Translated, U.S. Joint Publication Research Service, JPRS 7226 (1969).
    • (1969) JPRS , pp. 7226
    • Godunov, S.1
  • 21
    • 84985315986 scopus 로고
    • Construction of curvilinear co-ordinate systems and applications to mesh generation
    • Gordon, W., and Hall, C. (1973). "Construction of curvilinear co-ordinate systems and applications to mesh generation." Int. J. Numer. Methods in Engrg., 7, 461-477.
    • (1973) Int. J. Numer. Methods in Engrg. , vol.7 , pp. 461-477
    • Gordon, W.1    Hall, C.2
  • 22
    • 0004228622 scopus 로고
    • John Wiley & Sons, Inc., New York, N.Y
    • Guenther, R. (1990). Modern optics, John Wiley & Sons, Inc., New York, N.Y.
    • (1990) Modern optics
    • Guenther, R.1
  • 23
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten, A. (1983). "High resolution schemes for hyperbolic conservation laws." J. Computational Phys., 49, 357-393.
    • (1983) J. Computational Phys. , vol.49 , pp. 357-393
    • Harten, A.1
  • 24
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • Harten, A., Lax, P., and van Leer, B. (1983). "On upstream differencing and Godunov-type schemes for hyperbolic conservation laws." SIAM Rev., 25(1), 35-61.
    • (1983) SIAM Rev , vol.25 , Issue.1 , pp. 35-61
    • Harten, A.1    Lax, P.2    van Leer, B.3
  • 25
    • 0022269102 scopus 로고
    • Solution of the shallow water equations for complex flow domains via boundary-fitted coordinates
    • Hauser, J., Paap, H., Eppel, D., and Mueller, A. (1985). "Solution of the shallow water equations for complex flow domains via boundary-fitted coordinates." Int. J. Numer. Methods in Fluids, 5, 727-744.
    • (1985) Int. J. Numer. Methods in Fluids , vol.5 , pp. 727-744
    • Hauser, J.1    Paap, H.2    Eppel, D.3    Mueller, A.4
  • 27
    • 0023436137 scopus 로고
    • Finite element flux-corrected transport (FEM-FCT) for the Euler and Navier Stokes equations
    • Lohner, R., Morgan, K., Peraire, J., and Vahdati, M. (1987). "Finite element flux-corrected transport (FEM-FCT) for the Euler and Navier Stokes equations." Int. J. Numer. Methods in Fluids, 7, 1093-1109.
    • (1987) Int. J. Numer. Methods in Fluids , vol.7 , pp. 1093-1109
    • Lohner, R.1    Morgan, K.2    Peraire, J.3    Vahdati, M.4
  • 28
    • 0029219876 scopus 로고
    • Efficient implementation of non-oscillatory schemes for the computation of free surface flows
    • Nujić, M. (1995). "Efficient implementation of non-oscillatory schemes for the computation of free surface flows." J. Hydr. Res., 33(1), 101-111.
    • (1995) J. Hydr. Res. , vol.33 , Issue.1 , pp. 101-111
    • Nujić, M.1
  • 29
    • 84968510942 scopus 로고
    • Upwind difference schemes for hyperbolic conservation laws
    • Osher, S., and Solomon, F. (1982). "Upwind difference schemes for hyperbolic conservation laws." Math. Comp., 38(158), 339-374.
    • (1982) Math. Comp. , vol.38 , Issue.158 , pp. 339-374
    • Osher, S.1    Solomon, F.2
  • 31
    • 0026223390 scopus 로고
    • An adaptive finite element method for transient compressible flows with moving boundaries
    • Prodert, E., Hassan, O., Morgan, K., and Peraire, J. (1991). "An adaptive finite element method for transient compressible flows with moving boundaries." Int. J. Numer. Methods in Engrg., 32(4), 751-765.
    • (1991) Int. J. Numer. Methods in Engrg. , vol.32 , Issue.4 , pp. 751-765
    • Prodert, E.1    Hassan, O.2    Morgan, K.3    Peraire, J.4
  • 32
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors and difference schemes
    • Roe, P. L. (1981). "Approximate Riemann solvers, parameter vectors and difference schemes." J. Computational Phys., 43, 357-372.
    • (1981) J. Computational Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 33
    • 0001372138 scopus 로고
    • Dambreak flood waves computed by a modified Godunov method
    • Savic, L., and Holly Jr., F. (1993). "Dambreak flood waves computed by a modified Godunov method." J. Hydr. Res., Delft, The Netherlands, 31(2), 187-204.
    • (1993) J. Hydr. Res., Delft, The Netherlands , vol.31 , Issue.2 , pp. 187-204
    • Savic, L.1    Holly, F.2
  • 34
    • 0004180962 scopus 로고
    • Multigrid solution of the steady Euler equations
    • CWI, Centre for Mathematics and Computer Science, Amsterdam, The Netherlands
    • Spekreijse, S. (1988). "Multigrid solution of the steady Euler equations." Tech. Rep. Tract 46, CWI, Centre for Mathematics and Computer Science, Amsterdam, The Netherlands.
    • (1988) Tech. Rep. Tract
    • Spekreijse, S.1
  • 35
    • 49049151571 scopus 로고
    • Flux vector splitting of the inviscid gasdynamic equations with applications to finite difference methods
    • Steger, J., and Warming, R. (1981). "Flux vector splitting of the inviscid gasdynamic equations with applications to finite difference methods." J. Computational Phys., 40, 263-293.
    • (1981) J. Computational Phys. , vol.40 , pp. 263-293
    • Steger, J.1    Warming, R.2
  • 36
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • Sweby, P. K. (1984). "High resolution schemes using flux limiters for hyperbolic conservation laws." SIAM J. Numer. Anal, 21(5), 995-1011.
    • (1984) SIAM J. Numer. Anal , vol.21 , Issue.5 , pp. 995-1011
    • Sweby, P.K.1
  • 37
    • 49549151238 scopus 로고
    • Automatic generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
    • Thompson, J. F, Thames, F. C, and Mastin, C. W. (1974). "Automatic generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies." J. Computational Phys., 15, 299-319.
    • (1974) J. Computational Phys. , vol.15 , pp. 299-319
    • Thompson, J.F.1    Thames, F.C.2    Mastin, C.W.3
  • 38
    • 0002203252 scopus 로고
    • Riemann problems and the WAF method for solving the two-dimensional shallow water equations
    • London, U. K
    • Toro, E. (1992). "Riemann problems and the WAF method for solving the two-dimensional shallow water equations." Philosophical Trans. Royal Soc, London, U. K., A338, 43-68.
    • (1992) Philosophical Trans. Royal Soc , vol.A338 , pp. 43-68
    • Toro, E.1
  • 39
    • 0000327531 scopus 로고
    • Towards the ultimate conservative difference scheme. J. The quest of monotonicity
    • van Leer, B. (1973). "Towards the ultimate conservative difference scheme. J. The quest of monotonicity." Lecture Notes in Phys., 18, 163-168.
    • (1973) Lecture Notes in Phys , vol.18 , pp. 163-168
    • van Leer, B.1
  • 40
    • 0020223604 scopus 로고
    • Flux vector splitting for the Euler equations
    • E. Krause, ed., Springer Verlag, Berlin, Germany
    • van Leer, B. (1982). "Flux vector splitting for the Euler equations." Proc, 8th Int. Conf. on Numer. Methods in Fluid Dyn., E. Krause, ed., Springer Verlag, Berlin, Germany, 507-512.
    • (1982) Proc, 8th Int. Conf. on Numer. Methods in Fluid Dyn. , pp. 507-512
    • van Leer, B.1
  • 41
    • 0002187037 scopus 로고
    • On the relation between the upwind-differencing schemes of Godunov, Engquisdt-Osher and roe
    • van Leer, B. (1984). "On the relation between the upwind-differencing schemes of Godunov, Engquisdt-Osher and roe." SIAM J. Scientific and Statistical Computing, 5(1), 1-20.
    • (1984) SIAM J. Scientific and Statistical Computing , vol.5 , Issue.1 , pp. 1-20
    • van Leer, B.1
  • 42
    • 0031062212 scopus 로고    scopus 로고
    • A Cartesian cut cell method for compressible flows-Part A: Static body problems
    • Yang, G., Causon, D. M., Ingram, D. M., Saunders, R., and Batten, P. (1997a). "A Cartesian cut cell method for compressible flows-Part A: Static body problems." Aeronautical J., 101(1001), 47-56.
    • (1997) Aeronautical J , vol.101 , Issue.1001 , pp. 47-56
    • Yang, G.1    Causon, D.M.2    Ingram, D.M.3    Saunders, R.4    Batten, P.5
  • 43
    • 0031062176 scopus 로고    scopus 로고
    • A Cartesian cut cell method for compressible flows-Part B: Moving body problems
    • Yang, G., Causon, D. M., Ingram, D. M., Saunders, R., and Batten, P. (1997b). "A Cartesian cut cell method for compressible flows-Part B: Moving body problems." Aeronautical J., 101(1001), 57-65.
    • (1997) Aeronautical J , vol.101 , Issue.1001 , pp. 57-65
    • Yang, G.1    Causon, D.M.2    Ingram, D.M.3    Saunders, R.4    Batten, P.5
  • 45
    • 28144436430 scopus 로고
    • An adaptively refined Cartesian mesh solver for the Euler equations
    • Zeeuw, D., and Powell, K. (1993). "An adaptively refined Cartesian mesh solver for the Euler equations." J. Computational Phys., 104, 56-68.
    • (1993) J. Computational Phys. , vol.104 , pp. 56-68
    • Zeeuw, D.1    Powell, K.2
  • 46
    • 0030322009 scopus 로고    scopus 로고
    • Approximate Riemann solvers in FVM for 2D hydraulic shock wave modelling
    • Zhao, D., Shen, H., Lai, J., and Tabios, G. (1996). "Approximate Riemann solvers in FVM for 2D hydraulic shock wave modelling." J. Hydr. Engrg., ASCE, 122(12), 692-702.
    • (1996) J. Hydr. Engrg., ASCE , vol.122 , Issue.12 , pp. 692-702
    • Zhao, D.1    Shen, H.2    Lai, J.3    Tabios, G.4
  • 47
    • 0028668784 scopus 로고
    • Finite volume two dimensional unsteady flow model for river basins
    • Zhao, D., Shen, H., Tabios, G., Lai, J., and Tan, W. (1994). "Finite volume two dimensional unsteady flow model for river basins." J. Hydr. Engrg., ASCE, 120(7), 863-883.
    • (1994) J. Hydr. Engrg., ASCE , vol.120 , Issue.7 , pp. 863-883
    • Zhao, D.1    Shen, H.2    Tabios, G.3    Lai, J.4    Tan, W.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.