Fraunhofer Institute for Algorithms and Scientific Computing SCAI
In a joint research project with the Institute for Aeroelastics of the DLR, special methods for spatial coupling are developed for the fluid-structure coupling in aeroelastics. The algorithms are implemented in cooperation with the Institute for Numerical and Applied Mathematics at Georg-August-University Goettingen and EADS Munich. This task builds upon the coupling library MpCCI as well as the coupling tool Caesar of DLR. The goal of the research project is the development of efficient and generally applicable interpolations with radial basis functions for the spatial coupling of flow and structure models in the field of aeroelastics as well as their implementation as separate software module (compatible to the MpCCI programming interface) and the testing in practice.
For interpolations which cannot be based on element structures or which require special additional conditions, methods with radial basis functions have proved themselves very useful and partly even irreplaceable. The big advantage of interpolations with radial basis functions is that they do not require any structure and are nevertheless able fulfil the desired smoothness as well as additional conditions. Radial basis functions are used to create reconstruction functions so that for every single point in space the interpolation value can be retrieved via this function. At the same time the space of evaluation points is unlimited. Radial basis functions make interpolations in n-dimensional space possible, which means they are also applicable for interpolations of large amounts of parameter values.