{'fraction_non_alphanumeric': 0.01832460732984293, 'fraction_numerical': 0.0, 'mean_word_length': 5.375, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Finite Element Simulation and Error Estimation of Polymer Melt Flow

Accuracy analysis is fundamental to ascertain the reliability of a numerical solution of any industrial operation. The analysis is often complex due to different error sources. In this work, two strategies to assess the discretization errors is discussed: (i) Richardson extrapolation and (ii) a posteriori error estimation based on projecting/smoothing techniques. The former utilises three nested meshes whereas the latter is based on the post-processing of the problem solution over only one mesh. The model accounts for the full interaction between the thermal effects caused by viscous heating and the momentum diffusion effects dictated by a shear rate and temperature-dependent viscosity.