Computational Multiscale Solvers for Continuum Approaches

Materials
Francisco Montero-ChacónManuel Doblaré

Abstract

Computational multiscale analyses are currently ubiquitous in science and technology. Different problems of interest-e.g., mechanical, fluid, thermal, or electromagnetic-involving a domain with two or more clearly distinguished spatial or temporal scales, are candidates to be solved by using this technique. Moreover, the predictable capability and potential of multiscale analysis may result in an interesting tool for the development of new concept materials, with desired macroscopic or apparent properties through the design of their microstructure, which is now even more possible with the combination of nanotechnology and additive manufacturing. Indeed, the information in terms of field variables at a finer scale is available by solving its associated localization problem. In this work, a review on the algorithmic treatment of multiscale analyses of several problems with a technological interest is presented. The paper collects both classical and modern techniques of multiscale simulation such as those based on the proper generalized decomposition (PGD) approach. Moreover, an overview of available software for the implementation of such numerical schemes is also carried out. The availability and usefulness of this technique in ...Continue Reading

References

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Citations

Nov 18, 2021·Soft Matter·Antony N BerisNorman J Wagner

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Software Mentioned

FEAP
MSC Patran
Fenics
Voro
HM
Code Aster
CUDA
Python
Abaqus
Gmsh

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