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We present a partitioned FSI solution algorithm focusing on the fluid solver and, in particular, on the CFD aspects and the dynamic mesh method. Hence, we introduce a radial basis function interpolation method as a procedure to dynamically adapt the mesh according with the movement of the structure. This moving mesh technique is coupled, by means of the space conservation law, with a CFD solver, which is based on a second-order, conservative and unstructured finite volume discretization. Large-eddy simulation is performed to solve the turbulent flow, using the subgrid scale WALE model. Illustrative results are shown on a FSI test case consisting of a shell subjected to a moderate Reynolds cross-flow. As a first attempt, the CSD solver formulates the shell as a cantilever beam with a uniformly distributed load. The mesh used is structured of 169.920 control volumes. Despite using a coarse mesh and a simple CSD solver, the coherent structures of the turbulent phenomena are well captured.