ABSTRACT

We introduce an efficient high-order ensemble algorithm incorporating the semi-implicit spectral deferred correction (SDC-Ensemble algorithm) tailored to simulate flows exhibiting multiple realizations within the stochastic dual-porosity-Navier-Stokes system. This framework accommodates uncertainties stemming from initial conditions, forcing terms, interface boundary conditions and the hydraulic conductivity tensor. By consolidating all realizations into a unified coefficient matrix at each time step, the SDC-Ensemble algorithm significantly diminishes computational overhead compared to traditional methods that treat each realization independently, while preserving high-order accuracy.