Layered elastic solid method for the generation of unstructured dynamic mesh

The layered elastic solid method (LESM), a modified elastic solid method (ESM) was put forward in the present study. In LESM, the computational zone is divided into several layers and material properties of these layers, which stay a certain value in ESM, are changed with mesh deformation. The deformation capability of mesh in LESM is better than ESM and the quality of the mesh generated by LESM is superior to that generated by ESM when they undergo the same deformation. In ESM, the main influence factors on mesh quality and deformation capability are Poisson's ratio and single-step rotation angle. In LESM, mesh quality and deformation capability reach a largest value with an increase in Young's modulus. Meanwhile, the mesh can achieve a larger deformation capability when single-step rotation angle is 0.25°. Finally, numerical simulation on a two-dimensional aerofoil using LESM was carried out. It is found that the results of LESM show a better agreement with experiment results.