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 |
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| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
United States
28.02.2020
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| ISSN: | 1095-9203, 1095-9203 |
| Online-Zugang: | Weitere Angaben |
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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. |
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| 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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| Title | Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations |
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