Applicability of non-circulatory loads under extreme separation

Determine whether all non-circulatory force and moment contributions in the attached-flow formulation, particularly the effective torsional-rate contribution, remain applicable at very large angles of attack or should be modified or disabled, with the aim of improving modeling of stall-induced vibrations in wind turbines under standstill conditions.

Background

The paper develops a complete attached-flow formulation for unsteady airfoil aerodynamics, including circulatory shed-wake dynamics and non-circulatory added-mass force and moment contributions, for use in generalized lifting-line wind-turbine solvers. Its derivation and verification concern attached flow and the ideal thin-airfoil limit, whereas fully separated flow remains outside the principal scope of the formulation.

In the current implementation, attached-flow circulatory dynamics are disabled once the airfoil is fully separated, but the non-circulatory force and moment contributions are retained. The authors explicitly identify the unresolved issue of whether those contributions—especially the effective torsional-rate term—remain physically and numerically appropriate at very large angles of attack, or whether they require modification or removal. Resolving this issue could improve predictions of stall-induced vibrations, particularly during wind-turbine standstill conditions.

References

Future work should examine the treatment of the individual aerodynamic contributions under fully separated flow. In the current implementation, the attached flow circulatory dynamics are disabled when the airfoil is fully separated, while the non-circulatory force and moment contributions are retained. It should be assessed whether all of these contributions, particularly the torsional rate contribution, remain applicable at very large angles of attack or should be modified or disabled.

Unsteady airfoil aerodynamics in attached flow: From unsteady thin airfoil theory to wind turbine application  (2608.28280 - Li et al., 28 Aug 2026) in Section 4, Conclusions and future work