Before revision: We present a non-intrusive reduced basis method (RBM) for unsteady non-linear parametrized partial differential equations (PDEs)based on proper orthogonal decomposition (POD) with regression .
After revision: In recent years, numerical methods in industrial applications have evolved from a pure predictive tool towards a means for optimization and control. Since standard numerical analysis methods have become prohibitively costly in such multi-query settings, a variety of reduced order modeling (ROM) approaches have been advanced towards complex applications. In this context, the driving application for this work is twin-screw extruders (TSEs): manufacturing devices with an important economic role in plastics processing. Modeling the flow through a TSE requires non-linear parametrized partial differential equations (PDEs)based on proper orthogonal decomposition (POD) with regression .