Discrete Data Transfer Technique for Fluid-Structure Interaction
Jamshid A. Samareh · 18th AIAA Computational Fluid Dynamics Conference · 2007
This paper presents a general three-dimensional algorithm for data transfer between dissimilar meshes. The algorithm is suitable for applications of fluid-structure interaction and other high-fidelity multidisciplinary analysis and optimization. Because the algorithm is independent of the mesh topology, we can treat structured and unstructured meshes in the same manner. The algorithm is fast and accurate for transfer of scalar or vector fields between dissimilar surface meshes. The algorithm is also applicable for the integration of a scalar field (e.g., coefficients of pressure) on one mesh and injection of the resulting vectors (e.g., force vectors) onto another mesh. The author has implemented the algorithm in a C++ computer code. This paper contains a complete formulation of the algorithm with a few selected results. Nomenclature A = area B = finite element basis functions d = distance f = load vectors F = data matrix K = stiffness matrix L = length of a 2-sided element M = moments n = surface unit normal vector p = projection of CFD mesh points onto CSM mesh P = pressure loads r = element coordinates R = mesh coordinates T = transformation matrix U = virtual work V = design variables x, y, z = coordinates δ = deflection vectors ξ1, ξ2 = element parametric coordinates Subscripts e = element F = fluid i, j, k = source point number, element number, and target point number, respectively S = structures T = total 1, 2 = mesh numbers