Application of spline matrix for mesh deformation with dynamic multi-block grids

Abstract

The paper presents a three-dimensional mesh deformation algorithm for dynamic multiple-block moving mesh configurations. The flow domain is modelled as an elastic solid body where the Boundary Element Method (BEM) is applied to formulate a spline matrix that transforms the displacement vectors at a solid boundary to the interior of the field grid. Using a similar approach, a spline matrix for the interaction between the fluid grid and the structure grid of the flexible body can be generated. The BEM-based approach provides an unified treatment for both the flow mesh and the flexible body. For efficient implementation of deforming mesh, the BEM-based algorithm is augmented with a conventional grid deformation method based on transfinite interpolation (TFI). The BEM-based interpolation determines the boundary deformations of each block of the multiple-block flow mesh, while an arclength based TFI deforms the grid within each flow-block. © 2003 by the authors.