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

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 ad...

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Veröffentlicht in:Science (American Association for the Advancement of Science) Jg. 367; H. 6481; S. 1026
Hauptverfasser: Raissi, Maziar, Yazdani, Alireza, Karniadakis, George Em
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States 28.02.2020
ISSN:1095-9203, 1095-9203
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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. HFM is robust to low resolution and substantial noise in the observation data, which is important for potential applications.
AbstractList 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. HFM is robust to low resolution and substantial noise in the observation data, which is important for potential applications.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. HFM is robust to low resolution and substantial noise in the observation data, which is important for potential applications.
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. HFM is robust to low resolution and substantial noise in the observation data, which is important for potential applications.
Author Karniadakis, George Em
Yazdani, Alireza
Raissi, Maziar
Author_xml – sequence: 1
  givenname: Maziar
  orcidid: 0000-0002-8467-4568
  surname: Raissi
  fullname: Raissi, Maziar
  email: maziar.raissi@colorado.edu, george_karniadakis@brown.edu
  organization: NVIDIA Corporation, Santa Clara, CA 95051, USA
– sequence: 2
  givenname: Alireza
  orcidid: 0000-0002-0139-2080
  surname: Yazdani
  fullname: Yazdani, Alireza
  organization: Division of Applied Mathematics, Brown University, Providence, RI 02906, USA
– sequence: 3
  givenname: George Em
  orcidid: 0000-0002-9713-7120
  surname: Karniadakis
  fullname: Karniadakis, George Em
  email: maziar.raissi@colorado.edu, george_karniadakis@brown.edu
  organization: Division of Applied Mathematics, Brown University, Providence, RI 02906, USA. maziar.raissi@colorado.edu george_karniadakis@brown.edu
BackLink https://www.ncbi.nlm.nih.gov/pubmed/32001523$$D View this record in MEDLINE/PubMed
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Snippet 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...
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