Parameter-Aware Ensemble SINDy for Interpretable Symbolic SGS Closure

We present a scalable, parameter-aware sparse regression framework for discovering interpretable partial differential equations and subgrid-scale closures from multi-parameter simulation data. Building on SINDy (Sparse Identification of Nonlinear Dynamics), our approach addresses key limitations through four innovations: symbolic parameterisation enabling physical parameters to vary within unified regression; Dimensional Similarity Filter enforcing unit-consistency whilst reducing candidate libraries; memory-efficient Gram-matrix accumulation enabling batch processing; and ensemble consensus with coefficient stability analysis for robust model identification.