Reduced Flow Model for Plastics Melt Inside an Extrusion Die

PAMM, vol. 21

Abstract

Abstract In this work, we study the application of Model Order Reduction (MOR) to the flow of plastics melt in an extrusion die. The process is described with a non‐linear model consisting of the Stokes equations in combination with a shear‐thinning material model. The reduction is performed through a Proper Orthogonal Decomposition (POD) approach with subsequent projection. We perform an a‐posteriori error analysis for a quantity of interest, based on the full‐ and reduced‐order solutions. Finally, we explore the computational speedup to prove the aptitude of the reduced model in the context of many‐query scenarios.

Authors 5

1. Fabian Key corresponding Aachen Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science (JARA-CSD) Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science

   TU Wien · RWTH Aachen University

   Affiliation as printed

   Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science (JARA-CSD) RWTH Aachen University Aachen Germany

   Institute of Lightweight Design and Structural Biomechanics (ILSB) TU Wien Vienna Austria

   Chair for Computational Analysis of Technical Systems (CATS), Center for Simulation and Data Science (JARA-CSD), RWTH Aachen University, Aachen, Germany

   Email: [email protected]

   Fabian Key

   Institute of Lightweight Design and Structural Biomechanics (ILSB), TU Wien, Vienna, Austria

2. Francesco Ballarin

   Università Cattolica del Sacro Cuore

   Affiliation as printed

   Department of Mathematics and Physics Catholic University of the Sacred Heart Brescia Italy

   Department of Mathematics and Physics, Catholic University of the Sacred Heart, Brescia, Italy

3. Sebastian Andreas Eusterholz Aachen Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science (JARA-CSD) Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science

   RWTH Aachen University

   Affiliation as printed

   Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science (JARA-CSD) RWTH Aachen University Aachen Germany

   Chair for Computational Analysis of Technical Systems (CATS), Center for Simulation and Data Science (JARA-CSD), RWTH Aachen University, Aachen, Germany

4. Stefanie Elgeti Aachen Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science (JARA-CSD) Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science

   TU Wien · RWTH Aachen University

   Affiliation as printed

   Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science (JARA-CSD) RWTH Aachen University Aachen Germany

   Institute of Lightweight Design and Structural Biomechanics (ILSB) TU Wien Vienna Austria

   Chair for Computational Analysis of Technical Systems (CATS), Center for Simulation and Data Science (JARA-CSD), RWTH Aachen University, Aachen, Germany

   Institute of Lightweight Design and Structural Biomechanics (ILSB), TU Wien, Vienna, Austria

5. Gianluigi Rozza

   Scuola Internazionale Superiore di Studi Avanzati

   Affiliation as printed

   Mathematics Area, mathLab Scuola Internazionale Superiore di Studi Avanzati (SISSA) Trieste Italy

   Mathematics Area, mathLab, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy