| 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 |
| 三角形网格下求解二维浅水方程的KFVS格式 |
| Kinetic flux vector splitting scheme for solving 2-D shallow water equations with triangular mesh |
| 投稿时间：2005-07-11 |
| DOI： |
| 中文关键词: 二维浅水方程 有限体积法 三角形网格 KFVS格式 源项 |
| 英文关键词: 2-D shallow water equations kinetic flux vector splitting (KFVS) scheme finite volume method (FVM) triangular mesh source terms |
| 基金项目:国家自然科学基金资助项目(40106010);浙江省自然科学基金资助项目(M403054) |
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| 中文摘要: |
| 以Boltzmann方程为基础，建立了求解二维浅水方程的KFVS(Kinetic Flux Vector Splitting)格式。为保证计算格式的和谐性，通量计算中考虑了底坡源项的作用。在此基础上，采用特殊的底坡源项处理技术，建立了三角形网格下二阶精度的KFVS和谐格式。经典型算例和钱塘江涌潮计算验证，证明本文提出的方法分辨率高，边界适应性强，并具有模拟间断流动的能力。 |
| 英文摘要: |
| Based on the Boltzman equation, the kinetic flux vector splitting (KFVS) scheme for solving 2-D shallow water equations with triangular mesh is developed. In order to establish a well balanced scheme, the source term effect is taken into account explicitly in the flux evaluation. On this basis a special technique for dealing with source term due to bottom topography is adopted and the well ballanced KFVS scheme with triangular mesh possessing second order accuracy is established. The validity of the proposed method is verified by the comparison of calculation result of a traditional typical example with the field observation data of a tidal bore in Qiantang River. |
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