Identify the transverse representation of the wind-turbine wake force profile

Determine whether the shifted double-Gaussian representation or the difference-of-Gaussians representation is the more reliable model of the wind-turbine wake’s double-peaked transverse force profile, using experiments that resolve center curvature, peak regions, and outer shoulders.

Background

The paper’s external wind-turbine wake case finds evidence for an approximately mirror-symmetric, double-peaked transverse force distribution whose amplitude decreases downstream. Two competing mathematical representations—the shifted double Gaussian and the difference of Gaussians—fit the observed region comparably well.

The report states that the available experiments do not distinguish these representations and recommends higher-precision center-curvature and peak-to-shoulder measurements. Resolving this question matters because the difference-of-Gaussians form involves substantial cancellation, so its component terms cannot presently be interpreted as independent physical mechanisms.

References

The difference-of-Gaussians and shifted double Gaussian remain unresolved in the principal observation region, so the low overall error does not identify a unique representation.

— Beyond Equation Search: Conjecture-Guided Discovery with SCOPE and ClosureBench  (2610.18938 - Hu et al., 13 Oct 2026) in Appendix B, Section 10.2, subsection “Scientific Report” (JFM Wind-Turbine Wake Case)