Improvement in the spring analogy mesh deformation method through the cell-center concept

Yang Y., Özgen S., Kim H.

Aerospace Science and Technology, vol.115, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 115
  • Publication Date: 2021
  • Doi Number: 10.1016/j.ast.2021.106832
  • Journal Name: Aerospace Science and Technology
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Keywords: Unstructured meshes, Mesh deformation, Spring analogy, Numerical analysis, Cell-center concept, RADIAL BASIS FUNCTIONS, SIMULATION
  • Middle East Technical University Affiliated: Yes


© 2021 Elsevier Masson SASThe mesh deformation method is an important topic in studies involving moving boundary problems. As one of the main approaches, this method has been applied in various related studies. To address the cell inversion problem encountered in the spring analogy mesh deformation method, the present study proposes an improvement in it by cell-center concept. In addition to the linear spring between two nodal points on the mesh, the cell-center concept introduces additional fictitious springs between the cell-center and its nodal points. The spring constants for both actual and fictitious springs are modeled as reciprocals of the spring length. The final coordinates for each nodal point on the mesh are updated by assuming an equilibrium condition is achieved. For benchmark testing, the proposed method is compared with the original spring analogy and torsional spring analogy methods for rotating airfoil with inviscid mesh and multi-element airfoil with viscous mesh. It is observed that the cell-center spring analogy method alleviates the cell inversion problem that occurs in the original spring analogy method. Discussion concerning the performance of each method for the comparison is also included.