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Title: Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations

Abstract

For centuries, flow visualization has been the art of making fluid motion visible in physical and biological systems. Although such flow patterns can be, in principle, described by the Navier-Stokes equations, extracting the velocity and pressure fields directly from the images is challenging. We addressed this problem by developing hidden fluid mechanics (HFM), a physics-informed deep-learning framework capable of encoding the Navier-Stokes equations into the neural networks while being agnostic to the geometry or the initial and boundary conditions. We demonstrate HFM for several physical and biomedical problems by extracting quantitative information for which direct measurements may not be possible.

Authors:
 [1];  [2];  [3]
  1. University of Colorado at Boulder
  2. Brown University
  3. BROWN UNIVERSITY
Publication Date:
Research Org.:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1631426
Report Number(s):
PNNL-SA-152906
DOE Contract Number:  
AC05-76RL01830
Resource Type:
Journal Article
Journal Name:
Science
Additional Journal Information:
Journal Volume: 367; Journal Issue: 6481
Country of Publication:
United States
Language:
English

Citation Formats

Raissi, Maziar, Yazdani, Alireza, and Karniadakis, George E. Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations. United States: N. p., 2020. Web. doi:10.1126/science.aaw4741.
Raissi, Maziar, Yazdani, Alireza, & Karniadakis, George E. Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations. United States. https://doi.org/10.1126/science.aaw4741
Raissi, Maziar, Yazdani, Alireza, and Karniadakis, George E. 2020. "Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations". United States. https://doi.org/10.1126/science.aaw4741.
@article{osti_1631426,
title = {Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations},
author = {Raissi, Maziar and Yazdani, Alireza and Karniadakis, George E.},
abstractNote = {For centuries, flow visualization has been the art of making fluid motion visible in physical and biological systems. Although such flow patterns can be, in principle, described by the Navier-Stokes equations, extracting the velocity and pressure fields directly from the images is challenging. We addressed this problem by developing hidden fluid mechanics (HFM), a physics-informed deep-learning framework capable of encoding the Navier-Stokes equations into the neural networks while being agnostic to the geometry or the initial and boundary conditions. We demonstrate HFM for several physical and biomedical problems by extracting quantitative information for which direct measurements may not be possible.},
doi = {10.1126/science.aaw4741},
url = {https://www.osti.gov/biblio/1631426}, journal = {Science},
number = 6481,
volume = 367,
place = {United States},
year = {Fri Feb 28 00:00:00 EST 2020},
month = {Fri Feb 28 00:00:00 EST 2020}
}

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