Replication Data for Methodology for Adjusting Helmholtz Filter and Projection Parameters to Meet Minimum Thickness and Gap Requirements in Robust Three-Field Topology Optimization

This deposit contains the MATLAB code and validation datasets that reproduce all results, figures and tables of the article "Methodology for Adjusting Helmholtz Filter and Projection Parameters to Meet Minimum Thickness and Gap Requirements in Robust Three-Field Topology Optimization" (Journal of Computational Design and Engineering, under review). The work derives closed-form one-dimensional Helmholtz filtering maps for canonical solid bars and void gaps and inverts them — accounting for finite projection sharpness through effective filtered thresholds — into a parameter-selection recipe that prescribes minimum solid and void length scales independently at the filter and projection-parameter level, with applicability checks for mesh resolution, projection sharpness and boundary clearance.

The repository provides the reference robust three-field MATLAB implementation, the validation and audit scripts, and the complete datasets used in the paper: the raw one-dimensional and two-threshold surface sweeps, the mesh-resolution and boundary-clearance studies, the finite-β correction ablation, and the records of a 5,600-case two-dimensional member-like validation campaign (straight and curved ligaments, interacting parallel features, and T/Y/X junctions; median error 0.54% in the recommended operating regime), together with all summary tables and the manuscript figures.