四面体网格生成器用于CFD复杂几何模拟

Y. L. Ng, M. Yusoff, N. H. Shuaib
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摘要

计算流体力学(CFD)仿真正在成为工程设备设计与分析的一个重要方面。CFD使工程师能够减少与流体流动相关的损失,从而提高性能。CFD仿真的第一部分是为要分析的几何形状建立合适的网格。四面体网格以其灵活性在复杂域的网格划分中得到了广泛的应用。用于生成四面体网格的常用技术之一是德劳内三角剖分。虽然德劳内三角剖分总是可以生成四面体单元,填充任何区域,但不能保证单元的质量。这在CFD模拟中尤其重要,因为结果的准确性和收敛速度将受到网格质量的高度影响。本文介绍了一种能够在任意复杂几何结构中生成足够高质量的四面体网格的四面体网格生成器。给出了几个测试用例,测试结果表明,去除了毛条,整体质量良好。并成功地将约束边界恢复与符合边界恢复相结合,重建了所有缺失的面。
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Tetrahedral mesh generator for CFD simulation of complex geometry
Computational Fluid Dynamics (CFD) simulation is becoming an important aspect in the design and analysis of engineering equipment. CFD allows engineers to reduce losses related to fluid flows and hence increase the performance. The first part of CFD simulation is building suitable mesh for the geometry to be analyzed. Tetrahedral mesh is widely used in meshing complex domain due to its flexibility. One of the common techniques used to generate tetrahedral mesh is Delaunay triangulation. Although Delaunay triangulation can always generate tetrahedral elements that fill any domain, the quality of the elements is not guaranteed. This is particularly important in CFD simulations whereby the accuracy of results and convergence rate will be highly affected by the mesh quality. This paper describes the development of a tetrahedral mesh generator which is capable of generating sufficiently high quality tetrahedral cells in arbitrary complex geometry. A few test cases are presented which show that slivers are eliminated and the overall quality is good. The combination of the constrained and conforming boundary recovery was also successfully done where all the missing faces are rebuilt.
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