收录期刊

    高级检索
    于汪洋, 马建明, 尹岳明, 喻海军, 吴滨滨, 穆杰. 基于自适应网格的二维水动力模型[J]. 中国防汛抗旱, 2022, 32(3): 66-72. DOI: 10.16867/j.issn.1673-9264.2021132
    引用本文: 于汪洋, 马建明, 尹岳明, 喻海军, 吴滨滨, 穆杰. 基于自适应网格的二维水动力模型[J]. 中国防汛抗旱, 2022, 32(3): 66-72. DOI: 10.16867/j.issn.1673-9264.2021132
    YU Wangyang, MA Jianming, YIN Yueming, YU Haijun, WU Binbin, MU Jie. 2D hydrodynamic model based on adaptive grid[J]. China Flood & Drought Management, 2022, 32(3): 66-72. DOI: 10.16867/j.issn.1673-9264.2021132
    Citation: YU Wangyang, MA Jianming, YIN Yueming, YU Haijun, WU Binbin, MU Jie. 2D hydrodynamic model based on adaptive grid[J]. China Flood & Drought Management, 2022, 32(3): 66-72. DOI: 10.16867/j.issn.1673-9264.2021132

    基于自适应网格的二维水动力模型

    2D hydrodynamic model based on adaptive grid

    • 摘要: 为准确地模拟流域洪水传播和淹没情况,基于自适应网格技术,以有限体积法为离散格式构建数值模型。模型以二维浅水方程为控制方程,采用HLL格式近似黎曼解计算界面通量,采用WAF格式对计算的通量进行加权修正,保证时间和空间上的二阶精度,并使其满足TVD条件,减小数值振荡。底坡源项采用水深差分重构,摩阻源项采用半隐式格式,保证数值计算的和谐性和稳定性。自适应网格形式为四叉树网格,在水位梯度较大的区域进行网格细化。算例验证表明:自适应网格技术可以自动识别参数梯度较大的区域以及干湿边界,自行调整网格尺寸,准确模拟水流传播的动态变化,可应用于实际的洪水模拟。

       

      Abstract: In order to simulate the flood propagation and inundation, a numerical model was established adapting the finite volume method scheme based on adaptive grid. The model takes the 2D shallow water equation as the governing equation, uses HLL scheme to approximately solve the Riemann solution to obtain the interface flux, and uses the WAF scheme to make weighted corrections to the calculated flux, so as to ensure the second order accuracy in time and space, satisfy the TVD condition, and reduce the numerical oscillation. The bottom slope source term is reconstructed by water depth difference, and the friction source term is semi-implicit solved, which ensures the harmony and stability of numerical calculation. The adaptive grid is quadtree grid, and the mesh refinement is carried out in the region with rapid water level gradient. The numerical example shows that the adaptive grid technology can automatically identify the region with large parameter gradient and the boundary between dry and wet, adjust the grid size, accurately simulate the dynamic change of water flow propagation, and can be applied to the actual flood simulation.

       

    /

    返回文章
    返回