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基于 TVD格式的有限差分算法思想 ,考虑节点与单元的对应关系 ,对任意四边形单元各边的通量采用优选限量函数的组合型 TVD格式进行插值 ,在时间上采用两步 Runge- Kut-ta法离散 ,建立了守恒型浅水方程有限体积的高分辨率计算模型。针对 180°强弯曲河道、90°双支以及 4 5°三支分叉渠道 ,数值预报了溃坝波的演进过程 ,揭示了溃坝波在弯曲河道中内外两岸速度与水位变化 ,在分叉河道中自动进行流量与动量再分配 ,在叉点角区形成旋涡、壅高等复杂运动特征 ,同时反映了湿底与干底的影响
Based on the idea of TVD-based finite difference algorithm, taking into account the correspondence between nodes and elements, a combined TVD format using the optimal limited function for the fluxes of the sides of any quadrilateral element is interpolated. Two-step Runge-Kuttak method Discrete, established a finite volume model of conservation shallow water equations. According to 180 ° strong curved channel, 90 ° double branch and 4 5 ° divergent channel, the evolution process of the dam break wave is predicted numerically. The changes of the dam speed and the water level in the curved channel are revealed. The flow and momentum redistribution in the river channel automatically, forming vortex and 壅 higher complex movement characteristics in the fork corner area, and also reflects the influence of wet bottom and dry bottom