A novel dynamic adaptive unstructured mesh algorithm for simulating multi-object relative motion in incompressible fluid
Su X. Zhang K. Zhao Y. Zhang M. Zhang J.
October 2022John Wiley and Sons Ltd
International Journal for Numerical Methods in Fluids
2022#94Issue 101583 - 1610 pp.
A novel dynamic adaptive unstructured mesh (DAUM) algorithm is proposed to solve incompressible multi-object relative motion (MORM). The DAUM algorithm, consisting of exponential function deformation, adaptive edge swapping, and area Laplace smoothing, can greatly improve dynamic mesh robustness and perfectly overcome mesh skewness. The core of DAUM is the adaptive edge swapping inspired by Delaunay triangulation, which is distinguished from traditional edge swapping. The adaptive edge swapping can fully consider the relationship of neighbor elements only using Delaunay triangulation. Meanwhile, the implementation and reliability of adaptive edge swapping are better than the traditional edge swapping method due to eliminating the interference of the non-convex polygon, so more code remedies can be avoided. Using the DAUM, none of the vertices is inserted or deleted so that the manipulation of the dynamic mesh is easily implemented and maintains computational efficiency in the process of mesh motion. Three representative geometries are used to assess the performance of the DAUM in MORM. To systematically analyze the advantages of DAUM, two relatively moving cylinders have been numerically investigated in incompressible flow. The inline force and lift force profiles on two cylinders are obtained and analyzed by using the flow field information. Three interaction stages are divided based on the parameter G and the interactional intensity of two inner anticlockwise vortices is considered as the division criteria. At the running process of the DAUM algorithm, the dynamic mesh quality is well controlled and remains in the high-quality range based on the aspect ratio (AR) criterion. The results indicate that the proposed DAUM algorithm can properly solve the difficulties caused by MORM, especially for period oscillation motion.
adaptive edge swapping , incompressible flow , non-convex polygon , relative motion , unstructured mesh
Text of the article Перейти на текст статьи
School of Hydraulic Engineering, Dalian University of Technology, Dalian, China
School of Engineering and Digital Sciences, Nazarbayev University, Astana, Kazakhstan
School of Hydraulic Engineering
School of Engineering and Digital Sciences
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026