| 郝海兵,杨永.非结构网格上p型多重网格法流场数值模拟[J].计算力学学报,2011,28(3):360~365 |
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| 非结构网格上p型多重网格法流场数值模拟 |
| The research of p-multigrid solution for discontinuous Galerkin method |
| 投稿时间：2009-12-08 修订日期：2010-08-27 |
| DOI：10.7511/jslx201103010 |
| 中文关键词: 间断Galerkin方法 p型多重网格 欧拉方程 |
| 英文关键词:discontinuous Galerkin methods p-multigrid Euler equations |
| 基金项目:国家自然科学基金(50976017);国家自然科学基金重点(50736001)资助项目. |
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| 中文摘要: |
| 在二维、三维非结构网格上,针对间断Galerkin方法计算量大、收敛慢的缺点将p型多重网格方法应用于该方法求解跨音速Euler方程,提高计算效率。p型多重网格方法是通过对不同阶次多项式近似解进行递归迭代求解,来达到加速收敛。文中对高阶近似(p>0)使用显式格式,最低阶近似(p=0)采用隐式格式。NACA0012翼型和ONERA M6机翼跨音速无粘流动数值模拟结果表明:p型多重网格方法同多步显式Runge-Kutta间断Galerkin(RKDG)方法相比,收敛速度明显得到提高,并且精度保持不变。 |
| 英文摘要: |
| A discontinuous Galerkin method with p-multigrid is presented to solve the 2D and 3D transonic Euler equations on unstructured grids. The p-multigrid approximates the polynomial expressions of different orders by using recursive iteration method. In this way the convergence of discontinues Galerkin method is accelerated and the efficiency of the computation is greatly improved. In this paper, explicit scheme is applied for high-order approximation (p>0), while implicit scheme (LU-SGS) is applied for the low-order approximation (p=0). Simulation results for transonic inviscid flows over NACA0012 airfoil and ONERA M6 wing verified the efficiency of the p-multigrid method, and its accuracy is the same as that of Runge-Kutta discontinuous Galerkin method (RKDG). |
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