A highly efficient computational approach for fast scan-resolved simulations of metal additive manufacturing processes on the scale of real parts

Proell, Sebastian D.; Munch, Peter; Kronbichler, Martin; Wall, Wolfgang A.; Meier, Christoph

doi:10.1016/j.addma.2023.103921

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2024

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Cited by 2 publications

References 70 publications

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Efficient Thermal Modeling of Laser Directed Energy Deposition Using the Forwardeuler Scheme: Methodology, Merits and Limitation

Essongue,

nain,

Carin

2024

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Efficient Thermal Modeling of Laser Directed Energy Deposition Using the Forwardeuler Scheme: Methodology, Merits and Limitation

Essongue,

nain,

Carin

2024

Preprint

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An Application-Driven Method for Assembling Numerical Schemes for the Solution of Complex Multiphysics Problems

Zimbrod,

Fleck,

Schilp

2024

ASI

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Within recent years, considerable progress has been made regarding high-performance solvers for partial differential equations (PDEs), yielding potential gains in efficiency compared to industry standard tools. However, the latter largely remains the status quo for scientists and engineers focusing on applying simulation tools to specific problems in practice. We attribute this growing technical gap to the increasing complexity and knowledge required to pick and assemble state-of-the-art methods. Thus, with this work, we initiate an effort to build a common taxonomy for the most popular grid-based approximation schemes to draw comparisons regarding accuracy and computational efficiency. We then build upon this foundation and introduce a method to systematically guide an application expert through classifying a given PDE problem setting and identifying a suitable numerical scheme. Great care is taken to ensure that making a choice this way is unambiguous, i.e., the goal is to obtain a clear and reproducible recommendation. Our method not only helps to identify and assemble suitable schemes but enables the unique combination of multiple methods on a per-field basis. We demonstrate this process and its effectiveness using different model problems, each comparing the resulting numerical scheme from our method with the next best choice. For both the Allen–Cahn and advection equations, we show that substantial computational gains can be attained for the recommended numerical methods regarding accuracy and efficiency. Lastly, we outline how one can systematically analyze and classify a coupled multiphysics problem of considerable complexity with six different unknown quantities, yielding an efficient, mixed discretization that in configuration compares well to high-performance implementations from the literature.

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A highly efficient computational approach for fast scan-resolved simulations of metal additive manufacturing processes on the scale of real parts

Cited by 2 publications

References 70 publications

Efficient Thermal Modeling of Laser Directed Energy Deposition Using the Forwardeuler Scheme: Methodology, Merits and Limitation

Efficient Thermal Modeling of Laser Directed Energy Deposition Using the Forwardeuler Scheme: Methodology, Merits and Limitation

An Application-Driven Method for Assembling Numerical Schemes for the Solution of Complex Multiphysics Problems

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