[1] 谭维炎. 计算浅水动力学:有限体积法的应用[M].北京:清华大学出版社, 1998: 249-272.
[2] TORO E F. Shock-capturing methods for free-surface shallow flows [M]. Chichester: Wiley, 2001: 3-6.
[3] LAX P D, WENDROFF B. System of conservation laws [J]. Communications on Pure and Applied Mathematics, 1960, 13: 217-237.
[4] HOU T Y, LEFLOCH P G. Why non-conservative scheme converge to the wrong solutions: error analysis [J]. Mathematics of Computation Archive, 1994, 62(206): 497-530.
[5] 徐昆,潘存鸿. 求解非平底一维浅水方程的KFVS格式[J]. 水动力学研究与进展:A辑, 2002, 17(2): 140-147.
XU Kun, PAN Cun-hong. Kinetic flux vector scheme for the 1D shallow water equations with source terms [J]. Journal of Hydrodynamics: Ser A, 2002, 17(2): 140-147.
[6] MARSHALL E, MENDEZ R. Computational aspects of the random choice method for shallow water equations [J]. Journal of Computational Physics, 1981, 39(1): 1-21.
[7] ALCRUDO F, GARCIA-NAVANO P. A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations [J]. International Journal for Numerical Methods in Fluids, 1993, 16(6): 489-505.
[8] ZHAO D H, SHEN H W, TABIOS III G Q, et al. Finite-volume two-dimensional unsteady-flow model for river basins [J]. Journal of Hydraulic Engineering, 1994, 120(7): 863-883.
[9] 谭维炎,胡四一. 浅水流动计算中一阶有限体积法Osher格式的实现[J]. 水科学进展, 1994, 5(4): 262-270.
TAN Wei-yan, HU Si-yi. Implementation of first-order finite-volume Osher scheme in shallow water flow computation [J]. Advance in Water Science, 1994, 5(4): 262-270.
[10] BRUFAU P, GARCIA-NAVANO P. Unsteady free surface flow simulation over complex topography with a multidimensional upwind technique [J]. Journal of Computational Physics, 2003, 186(2): 503-526.
[11] HUBBART M E, GARCIA-NAVANO P. Flux difference splitting and the balancing of source terms and flux gradients [J]. Journal of Computational Physics, 2000, 165(1): 89-125.
[12] ZHOU J G, CAUSON D M, MINGHAM C G, et al. The surface gradient method for the treatment of source terms in the shallow-water equations [J]. Journal of Computational Physics, 2001, 168(1): 1-25.
[13] HUI W H, PAN C H. Water level-bottom topography formulation for the shallow-water flow with application to the tidal bores on the Qiantang River [J]. Computational Fluid Dynamics Journal, 2003, 12(3): 549-554.
[14] 潘存鸿,林炳尧,毛献忠. 一维浅水流动方程的Godunov格式求解[J]. 水科学进展, 2003, 14(4): 430-436.
PAN Cun-hong, LIN Bing-yao, MAO Xian-zhong. A Godunov-type scheme for 1-D shallow-water flow with uneven bottom [J]. Advances in Water Science, 2003, 14(4): 430-436.
[15] 潘存鸿,林炳尧,毛献忠. 求解二维浅水流动方程式的Godunov格式[J]. 水动力学研究与进展:A辑, 2003, 18(1): 16-23.
PAN Cun-hong, LIN Bing-yao, MAO Xian-zhong. A Godunov-type scheme for 2-D shallow-water flow with bottom topography [J]. Journal of Hydrodynamics: Ser A, 2003, 18(1): 16-23.
[16] 潘存鸿,林炳尧,毛献忠. 钱塘江涌潮二维数值模拟[J]. 海洋工程, 2007, 25(2): 50-56.
PAN Cun-hong, LIN Bing-yao, MAO Xian-zhong. 2D numerical simulation of tidal bore in Qiantang River [J]. The Ocean Engineering, 2007, 25(2): 50-56.
[17] AUDUSSE E, BRISTEAU M O. A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes [J]. Journal of Computational Physics, 2005, 206(1): 311-333.
[18] PAN Cun-hong, DAI Shi-qiang, CHEN Sen-mei. Numerical simulation for 2D shallow water equations by using Godunov-type scheme with unstructured mesh [J]. Journal of Hydrodynamics: Ser B, 2006, 18(4): 475-480.
[19] 潘存鸿,徐昆. 三角形网格下求解二维浅水方程的KFVS格式[J]. 水利学报, 2006, 37(7): 858-864.
PAN Cun-hong, XU Kun. Kinetic flux vector splitting for solving 2-D shallow water equations with triangular mesh [J]. Journal of Hydraulic Engineering, 2006, 37(7): 858-864.
[20] PAN Cun-hong, LIN Bing-yao, MAO Xian-zhong. Case study: numerical modeling of the tidal bore on the Qiantang River, China [J]. Journal of Hydraulic Engineering, 2007, 133(2): 130-138.
[21] 潘存鸿,林炳尧,毛献忠. 浅水问题动边界数值模拟[J]. 水利水运工程学报, 2004(4): 1-7.
PAN Cun-hong, LIN Bing-yao, MAO Xian-zhong. Numerical simulation of moving boundary for solving shallow water equations [J]. Hydro-Science and Engineering, 2004(4): 1-7.
[22] 林斌炎. 钱塘江下游水资源综合开发方案的设想[R]. 杭州:钱塘江管理局, 2002.
LIN Bin-yan. Assume of integrate development plan on water resource in the downstream of the Qiantang River [R]. Hangzhou: Qiantang River Administration of Zhejiang Province, 2002. |