Multivariate interpolation for fluid-structure-interaction problems using radial basis functions. (English) Zbl 1034.74018

Beckert, Armin; Wendland, Holger

Aerosp. Sci. Technol. 5, No. 2, 125-134 (2001).

The main topic of this paper is a conservative method for coupling the degrees of freedom of structural nodes and aerodynamic surface points in space. This method can be applied both to static and dynamic cases. Here it is applied only to a typical static aeroelastic problem because in this case only a spatial coupling problem arises. The coupled field problem is formulated, and a solution procedure is explained. As a main goal, a scheme for coupling in the three-dimensional space using multivariate interpolation is presented, and a selection of radial basis functions is given as application to the static aeroelastic problem. The structure is represented by finite elements, whereas the transonic fluid flow is described by three-dimensional Euler equations solved by an upwind scheme.

Reviewer: P. A. Velmisov (Ul’yanovsk)

MSC:

74F10	Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74S05	Finite element methods applied to problems in solid mechanics

Keywords:

staggered algorithm; coupling scheme; aerodynamic surface points; static aeroelastic problem; finite elements; transonic flow; three-dimensional Euler equations; upwind scheme