Imperial College London
Alternate

ProfessorSilvestrePinho

Faculty of Engineering, Department of Aeronautics

Professor in the Mechanics of Composites
 
 
 
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Contact

 

+44 (0)20 7594 5076silvestre.pinho Website

 
 
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Location

 

314City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{da:2020:10.1016/j.cma.2020.113077,
author = {da, Costa ROSS and Pinho, ST},
doi = {10.1016/j.cma.2020.113077},
journal = {Computer Methods in Applied Mechanics and Engineering},
pages = {1--30},
title = {A novel formulation for the explicit discretisation of evolving boundaries with application to topology optimisation},
url = {http://dx.doi.org/10.1016/j.cma.2020.113077},
volume = {367},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Evolving boundaries are an intrinsic part of many physical processes and numerical methods. Most efforts to model evolving boundaries rely on implicit schemes, such as the level-set method (LSM). LSM provides the means to efficiently model the evolution of a boundary, but lacks the ability to transmit information or provide information directly at the boundary. Explicit alternatives based on remeshing or partial-remeshing are often computationally expensive and inherently complex to implement. This work proposes a solution to this dichotomy: a novel finite element method (FEM) based formulation capable of explicitly discretising moving boundaries in an accurate and numerically-efficient way. It couples the floating node method (FNM) with LSM for the first time, which yield a methodology suitable for implementation as user-element in a generic FEM package. The explicitly discretised boundary allows for a new velocity-extension methodology, and a new LSM-reinitialisation procedure, which show benefits in accuracy and efficiency. The potential of this formulation is showcased within topology optimisation, showing greater geometrical accuracy and improvements in the optimum solution attained when compared to implicit methods.
AU  - da,Costa ROSS
AU  - Pinho,ST
DO  - 10.1016/j.cma.2020.113077
EP  - 30
PY  - 2020///
SN  - 0045-7825
SP  - 1
TI  - A novel formulation for the explicit discretisation of evolving boundaries with application to topology optimisation
T2  - Computer Methods in Applied Mechanics and Engineering
UR  - http://dx.doi.org/10.1016/j.cma.2020.113077
UR  - https://www.sciencedirect.com/science/article/pii/S0045782520302619?via%3Dihub
UR  - http://hdl.handle.net/10044/1/91228
VL  - 367
ER  -
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