A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing

• Published in: International journal for numerical methods in engineering Vol. 119; no. 11; pp. 1098 - 1125
• Main Authors: Neiva, Eric, Badia, Santiago, Martín, Alberto F., Chiumenti, Michele
• Format: Journal Article Publication
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 14.09.2019; John Wiley & sons
• Subjects: Accuracy; Adaptive mesh refinement; Additive manufacturing; Anàlisi numèrica; Atherosclerosis; Complexity; Computer simulation; Distributed memory; Domain decomposition; Enginyeria dels materials; Fabricació; Finite element method; Finite elements; Grid refinement (mathematics); Iterative methods; Manufacturing processes; Matemàtiques i estadística; Mathematical models; Metal·lúrgia; Models matemàtics; Multiscale analysis; Mètodes en elements finits; Octrees; Parallel computing; Powder-bed fusion; Robustness (mathematics); Sedimentation; Shape memory; Software; Solvers; Àrees temàtiques de la UPC
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.6085

Summary This work introduces an innovative parallel fully‐distributed finite element framework for growing geometries and its application to metal additive manufacturing. It is well known that virtual part design and qualification in additive manufacturing requires highly accurate multiscale and multiphysics analyses. Only high performance computing tools are able to handle such complexity in time frames compatible with time‐to‐market. However, efficiency, without loss of accuracy, has rarely held the centre stage in the numerical community. Here, in contrast, the framework is designed to adequately exploit the resources of high‐end distributed‐memory machines. It is grounded on three building blocks: (1) hierarchical adaptive mesh refinement with octree‐based meshes; (2) a parallel strategy to model the growth of the geometry; and (3) state‐of‐the‐art parallel iterative linear solvers. Computational experiments consider the heat transfer analysis at the part scale of the printing process by powder‐bed technologies. After verification against a three‐dimensional (3D) benchmark, a strong‐scaling analysis assesses performance and identifies major sources of parallel overhead. A third numerical example examines the efficiency and robustness of (2) in a curved 3D shape. Unprecedented parallelism and scalability were achieved in this work. Hence, this framework contributes to take on higher complexity and/or accuracy, not only of part‐scale simulations of metal or polymer additive manufacturing but also in welding, sedimentation, atherosclerosis, or any other physical problem where the physical domain of interest grows in time.