Improving CFD simulations by local machine-learned correction

• URL: http://arxiv.org/abs/2305.00114v1
• Date: Fri, 28 Apr 2023 22:20:42 GMT
• Title: Improving CFD simulations by local machine-learned correction
• Authors: Peetak Mitra, Majid Haghshenas, Niccolo Dal Santo, Conor Daly, David P. Schmidt
• Abstract summary: High-fidelity computational fluid dynamics (CFD) simulations for design space explorations can be exceedingly expensive. This computational cost/accuracy trade-off is a major challenge for modern CFD simulations. We propose a method that uses a trained machine learning model that has learned to predict the discretization error.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: High-fidelity computational fluid dynamics (CFD) simulations for design space explorations can be exceedingly expensive due to the cost associated with resolving the finer scales. This computational cost/accuracy trade-off is a major challenge for modern CFD simulations. In the present study, we propose a method that uses a trained machine learning model that has learned to predict the discretization error as a function of largescale flow features to inversely estimate the degree of lost information due to mesh coarsening. This information is then added back to the low-resolution solution during runtime, thereby enhancing the quality of the under-resolved coarse mesh simulation. The use of a coarser mesh produces a non-linear benefit in speed while the cost of inferring and correcting for the lost information has a linear cost. We demonstrate the numerical stability of a problem of engineering interest, a 3D turbulent channel flow. In addition to this demonstration, we further show the potential for speedup without sacrificing solution accuracy using this method, thereby making the cost/accuracy trade-off of CFD more favorable.

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