三维顶板斜向驱动方腔流有限元并行计算

基于PETSc FEM开源代码,采用分步有限元算法和区域分解法,并行计算了不同雷诺数下的三维顶板斜向驱动方腔流问题。计算结果表明,当顶板沿其对角线方向运动时,流体与下游侧壁发生斜向碰撞后在下游对角处汇聚并形成射流,该射流在与底面、上游侧壁碰撞后形成较为复杂的涡流结构。雷诺数大小对三维顶板斜向驱动方腔流的涡流场结构形态具有重要影响。并行性能分析表明区域分解法能有效地提高三维粘性方腔流的计算速度。

Parallel simulation of 3D lid-driven cubic cavity flows at yaw by finite element method

The fractional step finite element method and domain decomposition method are applied to simulate in parallel the 3D lid-driven cubic cavity flows at yaw based on the open source codes PETScFEM. When the lid moves along its diagonal, the driven fluid impinges in the spatial angle formed by the downstream side walls, which leads to formation of the jet flow. A system of vortices is caused when the jet flow impinges the bottom wall and upstream side walls. Different Reynolds numbers are investigated, which show the significant influence for this flow. Parallel performance analysis reveals that the domain decomposition method can efficiently speed up the simulation of 3D lid-driven cavity flows.