| 蒋光彪,何永森,肖映雄,舒适.代数多重网格方法在紊流数值预测中的应用[J].计算力学学报,2010,27(6):1016~1021 |
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| 代数多重网格方法在紊流数值预测中的应用 |
| Application of algebraic multigrid method to the numerical prediction of turbulent flow |
| 投稿时间：2008-11-28 修订日期：2009-11-14 |
| DOI：10.7511/jslx20106011 |
| 中文关键词: 代数多重网格方法 锥形渐扩管 紊流 DLR型k-ε紊流模型 稀疏矩阵 |
| 英文关键词:algebraic multigrid method conical diffuser turbulent flow DLR k-ε turbulent model sparse matrix |
| 基金项目:国家自然科学基金(10771178,10972191);湖南省自然科学基金(10JJ4004);湖南省科技厅一般项目(2009FJ3042)资助项目. |
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| 中文摘要: |
| 机械和矿山工程中广泛使用锥形渐扩管。将DLR型k-ε紊流模型中非线性偏微分方程基于全隐式高精度迎风差分格式离散,得到差分方程的系数矩阵为五对角块十三对角带状稀疏矩阵,基于一种"三元组"方式进行压缩存储,节约内存。提出了一种基于DLR型k-ε紊流模型与代数多重网格方法结合的新算法,阐述了代数多重网格方法的实施过程。对具有逆压梯度流动的锥形渐扩管内紊流进行了数值预测。数值实验表明,代数多重网格方法对求解紊流模型离散方程组非常有效,同此前该紊流数值模拟中使用的Point-SOR方法相比,计算效率有了显著提高,计算结果与实验结果吻合较好。 |
| 英文摘要: |
| A conical diffuser has been widely used in mechanical and mine engineering. DLR k-ε turbulent model is discreted by finite difference method. A full implicit difference scheme of high precision based on 13 points node stencil is constructed.Large sparse matrices with 13 diagonals are formed.The sparse matrices are compressively stored by three one-dimension arrays for saving memory.The algebraic multigrid method is a popular fast algorithm which is used to solve the discrete systems of differential equations. Numerical method of integrating the DLR k-ε turbulent model with the algebraic multigrid method are posed and the detailed implement process is given . Numerical experiments are shown that the computational efficiency is improved and the numerical results agree well with the experiment results. |
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