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中文核心期刊

基于三角网格重构模型的物体绕流数值模拟研究

NUMERICAL SIMULATION OF FLOW AROUND THE OBJECT BASED ON THE TRIANGLE MESH RECONSTRUCTION MODEL

  • 摘要: 本文针对基于边界数据浸入法(BDIM)的流-固耦合数值模拟中传统模型离散重构方法存在的阶梯状失真问题, 提出了一种基于三角网格的几何重构方法, 结合BDIM实现高精度流场求解, 旨在提升BDIM对于复杂流动问题的模拟精度. 通过三角网格重构固体模型, 利用STL文件中的三角形面元信息将固体沿其近似法向方向离散, 有效避免了传统方法中沿着笛卡尔正交坐标轴方向离散导致的几何阶梯状误差. 本文采用有限差分法求解N-S方程, 采用Chen空化模型构建气体体积分数控制方程. 研究分别通过单相球体绕流与多相Clark-Y水翼空化绕流算例验证了数值计算方法的有效性. 数值计算结果表明: 与传统方法相比, 基于三角网格重构模型的方法显著降低了模型表面的失真情况. 对于雷诺数Re = 3700条件下的球体绕流问题而言, 本文方法相对于传统方法提高了压力系数与轴向速度分布的预测精度; 在流场充分发展之后, 本文计算得到的球体绕流后流场的涡结构与DNS得到的结果有较好的一致性. 在Clark-Y水翼绕流空化多相流模拟中, 本文方法能更精确捕捉气液界面动态行为. 本文方法在保证计算效率的同时, 旨在为基于BDIM处理具有复杂固体边界问题提供鲁棒性更强的数值解决方案.

     

    Abstract: In this paper, a geometric reconstruction method based on the triangle mesh is proposed to solve the stepped distortion problem of the traditional discrete reconstruction method in the fluid structure coupling numerical simulation based on boundary data immersion method (BDIM), which is combined with BDIM to achieve a high-precision flow field solution, to improve the simulation accuracy of BDIM for complex flow problems. The solid model is reconstructed using the triangle mesh, and the solid is discretized along its approximate normal direction by utilizing the triangle information in the STL file, which effectively avoids the geometric step error caused by discretization along the Cartesian coordinate axis in the traditional method. In this paper, the finite difference method is used to solve the N-S equation, and the Chen cavitation model is used to construct the gas volume fraction control equation. Numerical examples of the flow around a sphere (single-phase) and the Clark-Y hydrofoil (multi-phase) verify the effectiveness of the numerical method. Numerical results show that, compared with the traditional method, the method based on the triangle mesh reconstruction model significantly reduces the distortion of the model surface. For the flow around a sphere at Reynolds number Re = 3700, the proposed method improves the prediction accuracy of the pressure coefficient and the axial velocity distribution compared with the traditional method. After the full development of the flow field, the vortex structure of the flow field around the sphere calculated in this paper is in good agreement with the results obtained by DNS. In the simulation of cavitation multiphase flow around the Clark-Y hydrofoil, the proposed method can more accurately capture the dynamic behavior of the gas-liquid interface. The purpose of this method is to provide a more robust numerical solution for solving complex solid boundary problems based on BDIM while ensuring computational efficiency.

     

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