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基于椭圆型网格生成法,实现了一种简单高效的贴体结构动网格生成方法,可用于具有移动边界问题的非定常流动数值模拟。该方法提出,在网格变形过程中,Poisson方程需要的控制网格间距和正交性的源项可以通过提取已知的静态网格源项直接得到,并在整个动网格生成过程中保持不变。因此,在椭圆型网格生成中需要通过外迭代确定源项的过程可以得到省略,而且该方法不需要人工指定参数。这使得方法具有高效和易于嵌入到已有程序中的特点。数值模拟结果证明,采用这种方法获得的网格能够较好地保持静态网格原有的正交性和光滑性,在相同迭代步数约束下,网格求解效率低于传统弹簧模拟法,但鲁棒性优于弹簧模拟法。
Based on the elliptic mesh generation method, a simple and efficient method for generating moving body with body structure is proposed, which can be applied to unsteady flow numerical simulation with moving boundary problem. This method proposed that the source term needed to control the grid spacing and orthogonality of the Poisson equation can be directly obtained by extracting the known static grid source term during the grid deformation process and kept in the entire moving grid generation process constant. Therefore, the process of determining the source term by the outer iteration in the elliptic mesh generation can be omitted, and the method does not require manual designation of parameters. This makes the method efficient and easy to embed into existing programs. The numerical simulation results show that the grids obtained by this method can well maintain the original orthogonality and smoothness of the static grid. Under the same iteration steps, the grid solving efficiency is lower than the traditional spring simulation method, But the robustness is better than the spring simulation.