Accuracy and Coupling Issues of Aeroelastic Navier-Stokes Solutions on Deforming Meshes

An implicit time-accurate approach to aeroelastic simulation was developed with particular attention paid to the issues of time accuracy, structural coupling, grid-deformation strategy, and geometric conservation. A Beam ‐Warming, approximate-factored algorithm, modie ed to include Newton-like subiterations was coupled with a structural model, also in subiteration form. With a sufe cient number of subiterations, this approach becomes a fully implicit, e rst- or second-order-accurate aeroelastic solver. The solver was used to compute time-accurate solutions of an elastically mounted cylinder. The fully implicit coupling allowed the overall scheme to become second-order accurate in time, signie cantly reducing the workload for a given accuracy. A new algebraic grid deformation strategy was developed that preserves grid orthogonality near the surface under large deformations. Finally, the oscillatory behavior of an elastically mounted cylinder was reproduced accurately by the present approach, and results compared favorably to previous experiments and simulations.