Parallelization of the multi-level <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.gif" display="inline" overflow="scroll"><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:math>-adaptive finite cell method

Jomo, John N.; Zander, Nils; Elhaddad, M.; zcan, Ali; Kollmannsberger, Stefan; Mundani, Ralf-Peter; Rank, Ernst

doi:10.1016/j.camwa.2017.01.004

Cited by 17 publications

(10 citation statements)

References 40 publications

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“…Furthermore, other methods based on low-dimension approximation such as the proper generalized decomposition (which is particularly appropriate considering the tensor structure of B-Splines) [95,17,96] could help further reducing the computational cost of the DVC algorithm. In this trend, iterative solvers for unfitted methods [10,97,98,32] could also be considered for realistic three-dimensional generalization.…”

Section: Discussionmentioning

confidence: 99%

Adjusting fictitious domain parameters for fairly priced image-based modeling: Application to the regularization of Digital Image Correlation

Rouwane

Bouclier

Passieux

et al. 2021

Computer Methods in Applied Mechanics and Engineering

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The integration of numerical simulation and experimental measurements in cellular materials at the sub-cellular scale is a real challenge. On the experimental side, the almost absence of texture makes displacement fields measurement tricky. On the simulation side, it requires the construction of reliable and specimen-specific geometric and mechanical models from digital images. For this purpose, high order based fictitious domain approaches have proven to be an efficient alternative to boundary conforming finite elements for the analysis of geometrically complex objects. A number of discretization parameters needs to be set by the user by making a trade-off between accuracy and computational cost. In addition to numerical errors (interpolation, integration etc.), there are additional geometric and model errors due to the pixelation of the image (e.g., quantization, sampling, noise). In the literature, discretization parameters are often analyzed without taking pixelation into account, which can lead to over-calculations. In this paper, these parameters are adjusted to obtain (a) the best possible accuracy (bounded by pixelation errors) while (b) ensuring minimal complexity (concept of fair price). In order to analyze the different sources of error, various two-dimensional synthetic experiments are generated by mimicking the image acquisition process from high-resolution numerical simulations considered as a reference. The approach leads to a modeling that outperforms conventional approaches both in terms of accuracy and complexity. Eventually, it is shown that the presented image-based models provide a unique opportunity to assist digital volume correlation and allow the measurement of relevant local kinematics within cellular materials.

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Section: Discussionmentioning

confidence: 99%

Adjusting fictitious domain parameters for fairly priced image-based modeling: Application to the regularization of Digital Image Correlation

Rouwane

Bouclier

Passieux

et al. 2021

Computer Methods in Applied Mechanics and Engineering

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“…After this refinement, some processes can end up with a larger number of grids than others. Hence, a second load balancing step is performed on the refined grid cells using Zoltan , 15,16 a third‐party library to eliminate imbalance in adaptive parallel applications. Finally, the numerical simulation can be performed independently on every MPI process.…”

Section: Methodsmentioning

confidence: 99%

Numerical evaluation of high cycle fatigue life for additively manufactured stainless steel 316L lattice structures: Preliminary considerations

Alaimo

Carraturo

Korshunova

et al. 2021

Mat Design & Process Comms

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Lattice components manufactured by selective laser melting processes are increasingly employed for producing high performing lightweight parts to be used in several industrial applications. However, the geometry at a submillimeter scale can exhibit not negligible differences with respect to the nominal design due to the high complexity of the manufacturing process. Accordingly, the mechanical behavior of lattice structures is strongly influenced by such process‐induced geometrical defects. Therefore, to numerically predict the fatigue behavior of lattice components, the as‐built geometry, as acquired, for instance, by means of micro‐computed tomography, should be considered. In this work, we employ an immersed boundary method, namely, the finite cell method, to develop a numerical framework suitable to compute fatigue life directly on an as‐built lattice geometry.

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“…To tackle this large-scale numerical simulation, a hybrid parallelization of the high-order FCM is used. This parallelization strategy is based on a modified version of the approach presented in [24,25]. In this section, only the core aspects of the used parallelization technique -the parallel mesh creation, the numerical integration, and the solution of the distributed linear system -will be briefly explained.…”

Section: A Parallel Computational Framework For the Finite Cell Methodsmentioning

confidence: 99%

Image-based material characterization of complex microarchitectured additively manufactured structures

Korshunova

Jomo

Lékó

et al. 2020

Computers & Mathematics with Applications

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Significant developments in the field of additive manufacturing (AM) allowed the fabrication of complex microarchitectured components with varying porosity across different scales. However, due to the high complexity of this process, the final parts can exhibit significant variations in the nominal geometry. Computer tomographic images of 3D printed components provide extensive information about these microstructural variations, such as process-induced porosity, surface roughness, and other undesired morphological discrepancies. Yet, techniques to incorporate these imperfect AM geometries into the numerical material characterization analysis are computationally demanding. In this contribution, an efficient image-to-material-characterization framework using the high-order parallel Finite Cell Method is proposed. In this way, a flexible non-geometry-conforming discretization facilitates mesh generation for very complex microstructures at hand and allows a direct analysis of the images stemming from CT-scans. Numerical examples including a comparison to the experiments illustrate the potential of the proposed framework in the field of additive manufacturing product simulation.

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Parallelization of the multi-level hp-adaptive finite cell method

Cited by 17 publications

References 40 publications

Adjusting fictitious domain parameters for fairly priced image-based modeling: Application to the regularization of Digital Image Correlation

Adjusting fictitious domain parameters for fairly priced image-based modeling: Application to the regularization of Digital Image Correlation

Numerical evaluation of high cycle fatigue life for additively manufactured stainless steel 316L lattice structures: Preliminary considerations

Image-based material characterization of complex microarchitectured additively manufactured structures

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