A radial basis function algorithm for simplified fluid‐structure data transfer

Abstract

SUMMARYIn loosely‐coupled aeroelastic computation, the aerodynamic and elastomechanical models are based on different grids and eventually a simplified structural model, like a shell or stick, is considered. CFD tools are applied over the aerodynamic grid, whereas CSM tools are over the structural one. The meshes are usually non‐conforming; thus, three‐dimensional and non‐intrusive interpolation procedures are necessary to transfer structural deformations to the aerodynamic surface grid and aerodynamic loads to the structure. For that purpose, an interpolator based on radial basis functions has been developed. This tool does not require grid connectivities and can be applied to any three‐dimensional data.We have developed two strategies to deal with two special cases of interest. The first is when the structure is represented by a beam model and there is not a proper structural mesh close to the aerodynamic surface. The second is when managing a full configuration aircraft and the problem has been split into some small blocks in such a way that there are aerodynamic nodes belonging to more than one block. Copyright © 2014 John Wiley & Sons, Ltd.

DTK C/Fortran Interface Development for NEAMS FSI Simulations

“…When a mesh is available, basic shape function interpolations can be used to compose the map operators for consistent interpolation to build a representation of the nodal fluid quantities on the structural grid. As an alternative, in the last 20 years a number of new mesh-free algorithms based on point clouds and radial basis functions have been developed for consistent interpolation in FSI problems [2,5,15,16,14,1,4]. In these algorithms, the underlying support of the solid and fluid surfaces is replaced by a point cloud representation of the surfaces with these points either consisting of the mesh nodes or quadrature points depending on where the data is to be interpolated.…”

Aeroacoustic source term computation based on radial basis functions

“…In the field of aeroelasticity, fluid‐structure interaction algorithms based on mesh‐less radial basis function (RBF) interpolation are proposed as a computational efficient coupling strategy . The coupling of nonconforming grids with focus on computational performance is of great importance in aeroelasticity …”

Mesh-free data transfer algorithms for partitioned multiphysics problems: Conservation, accuracy, and parallelism

“…As an alternative to methods that leverage the meshes discretizing a shared interface, significant work has been performed in recent years on mesh-free techniques that instead apply the data transfer between sets of point clouds that represent the discrete interface [7][8][9][10][11][12][13]. In these methods, one effectively removes the functional support provided by the underlying physics discretization and replaces it with support of often a higher order constructed from various basis functions.…”