Application of Gene Expression Programming to a-posteriori LES modeling of a Taylor Green Vortex
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- @Article{journals/jcphy/ReissmannHSK21,
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author = "Maximilian Reissmann and Josef Hasslberger and
Richard D. Sandberg and Markus Klein",
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title = "Application of Gene Expression Programming to
a-posteriori {LES} modeling of a {Taylor} Green
Vortex",
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journal = "Journal of Computational Physics",
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year = "2021",
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volume = "424",
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pages = "109859",
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keywords = "genetic algorithms, genetic programming, gene
expression programming, evolutionary algorithm,
in-the-loop optimisation, a-posteriori les, Taylor
green vortex",
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ISSN = "0021-9991",
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bibdate = "2020-12-17",
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bibsource = "DBLP,
http://dblp.uni-trier.de/db/journals/jcphy/jcphy424.html#ReissmannHSK21",
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URL = "https://www.sciencedirect.com/science/article/pii/S0021999120306331",
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DOI = "doi:10.1016/j.jcp.2020.109859",
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abstract = "Gene Expression Programming (GEP), a branch of machine
learning, is based on the idea to iteratively improve a
population of candidate solutions using an evolutionary
process built on the survival-of-the-fittest concept.
The GEP approach was initially applied with encouraging
results to the modeling of the unclosed tensors in the
context of RANS (Reynolds Averaged Navier-Stokes)
turbulence modelling. In a subsequent study it was
demonstrated that the GEP concept can also be
successfully used for modelling the unknown Sub-Grid
Stress (SGS) tensor in the context of Large Eddy
Simulations (LES). This was done in an a-priori
analysis, where an existing Direct Numerical Simulation
(DNS) database was explicitly filtered to evaluate the
unknown stresses and to assess the performance of model
candidates suggested by GEP. This paper presents the
next logical step, i.e. the application of GEP to
a-posteriori LES model development. Because
a-posteriori analysis, using in-the-loop optimisation,
is considered the ultimate way to test SGS models, this
can be considered an important milestone for the
application of machine learning to LES based turbulence
modelling. GEP is here used to train LES models for
simulating a Taylor Green Vortex (TGV) and results are
compared with existing standard models. It is shown
that GEP finds a model that outperforms known models
from literature as well as the no-model LES. Although
the performance of this best model is maintained for
resolutions and Reynolds numbers different from the
training data, this is not automatically guaranteed for
all other models suggested by the algorithm.",
- }
Genetic Programming entries for
Maximilian Reissmann
Josef Hasslberger
Richard D Sandberg
Markus Klein
Citations