Sa. Morton et al., ACCURACY AND COUPLING ISSUES OF AEROELASTIC NAVIER-STOKES SOLUTIONS ON DEFORMING MESHES, Journal of aircraft, 35(5), 1998, pp. 798-805
An implicit time-accurate approach to aeroelastic simulation was devel
oped with particular attention paid to the issues of time accuracy, st
ructural coupling, grid-deformation strategy, and geometric conservati
on. A Beam-Warming, approximate-factored algorithm, modified to includ
e Newton-like subiterations was coupled with a structural model, also
in subiteration form. With a sufficient number of subiterations, this
approach becomes a fully implicit, first- or second-order-accurate aer
oelastic solver. The solver was used to compute time-accurate solution
s of an elastically mounted cylinder. The fully implicit coupling allo
wed the overall scheme to become second-order accurate in time, signif
icantly reducing the workload for a given accuracy. A new algebraic gr
id deformation strategy was developed that preserves grid orthogonalit
y 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 ex
periments and simulations.