1 |
Hesthaven, J. S. and Warburton, T. (2007). Nodal discontinuous galerkin methods: Algorithms, Analysis, and Applications, Springer, New York.
|
2 |
Hughes, T. J. R. and Brooks, A. N. (1982). "A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions:Application to the Streamline-Upwind Procedure." Finite Elements in Fluids, R. H. Gallagher et al., eds., Wiley, Chichester, U.K., Vol. 4, pp. 46-65.
|
3 |
Jain, S. C. (2001). Open-channel flow, John Wiley & Sons, New York.
|
4 |
Kim, J. S. and Han, K. Y. (2009). "One-dimensional hydraulic modeling of open channel flow using the Riemann approximate solver - Application for natural river." J. Korea Water Resources Association, Vol. 42, No. 4, pp. 271-279 (in Korean).
과학기술학회마을
DOI
ScienceOn
|
5 |
Lai, W. and Khan, A. A. (2012). "Discontinuous galerkin method for 1D shallow water flow in nonrectangular and nonprismatic channels." J. Hydraul. Engrg., Vol. 138, No. 3, pp. 285-296.
DOI
|
6 |
Lax, P. D. (1954). "Weak solutions of nonlinear hyperbolic equations and their numerical computation." Comm. Pure Appl. Math., Vol. 7, pp. 159-193.
DOI
|
7 |
Lee, H. and Lee, N. J. (2013). "Simulation of shallow water flow by discontinuous galerkin finite element method." Proc. of 2013 IAHR World Congress, Chengdu, China.
|
8 |
LeVeque, R. J. (2002). Finite volume methods for hyperbolic problems, Cambridge University Press, Cambridge.
|
9 |
Meselhe, E. A., Sotiropoulos, F. and Holly, F. M. (1997). "Numerical simulation of transcritical flow in open channels." J. Hydraul. Engrg., Vol. 23, No. 9, pp. 774-782.
|
10 |
Mohapatra, P. K. and Bhallamudi, S. M. (1996). "Computation of a dam-break flood wave in channel transitions." Adv. Water Resour., Vol. 19, No. 3, pp. 181-187.
DOI
|
11 |
Reed, W. H. and Hill, T. R. (1973). Triangular mesh methods for the neutron transport equation, Scientific Laboratory Report, Los Alamos, LA-UR-73-479.
|
12 |
Roe, P. (1981). "Approximate riemann solvers, parameter vectors, and difference schemes." J. Comput. Phys., Vol. 43, No. 2, pp. 357-372.
DOI
ScienceOn
|
13 |
Schwanenberg, D. and Harms, M. (2004). "Discontinuous galerkin finite-element method for transcritical two-dimensional shallow water flows." J. Hydraul. Engrg., Vol. 130, No. 5, pp. 412-421.
DOI
ScienceOn
|
14 |
Townson, J. M. and Al-Salihi, A. H. (1989). "Models of dam-break flow in R-T space." J. Hydraul. Engrg., Vol. 115, No. 5. pp. 561-575.
DOI
|
15 |
Zienkiewicz, O. C. and Codina, R. (1995). "A general algorithm for compressible and incompressible flow, Part I: The Split Characteristic Based Scheme." Int. J. Numer. Meth. Fluids, Vol. 20, pp. 869-885.
DOI
ScienceOn
|
16 |
Harten, A., Lax. P. D., van Leer, B. (1983). "On upstream differencing and Godunov-type schemes for hyperbolic conservation laws." SIAM Rev. Vol. 25, No. 1, pp. 35-61.
DOI
ScienceOn
|
17 |
Chavent, G. and Salzano, G. (1982). "A finite element method for the 1D water flooding problem with gravity." J. Comp. Phys., Vol. 45, pp. 307-344.
DOI
|
18 |
Cockburn, B. (1999). "Discontinuous galerkin methods for convection dominated problems." Lecture Notes in Computational Science and Engineering, Springer, Vol. 9, pp. 69-224.
|
19 |
Cunge, J. A., Holly, F. M. and Verwey, A. (1980). Practical aspects of computational river hydraulics, Pitman, London.
|