Jiang, Chiyu Max and Esmaeilzadeh, Soheil and Azizzadenesheli, Kamyar and Kashinath, Karthik and Mustafa, Mustafa and Tchelepi, Hamdi A. and Marcus, Philip and Prabhat, Mr. and Anandkumar, Anima (2020) MESHFREEFLOWNET: A Physics-Constrained Deep Continuous Space-Time Super-Resolution Framework. In: SC20: International Conference for High Performance Computing, Networking, Storage and Analysis. IEEE , Piscataway, NJ, pp. 1-15. ISBN 978-1-7281-9998-6. https://resolver.caltech.edu/CaltechAUTHORS:20200526-153937049
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Abstract
We propose MESHFREEFLOWNET, a novel deep learning-based super-resolution framework to generate continuous (grid-free) spatio-temporal solutions from the lowresolution inputs. While being computationally efficient, MESHFREEFLOWNET accurately recovers the fine-scale quantities of interest. MESHFREEFLOWNET allows for: (i) the output to be sampled at all spatio-temporal resolutions, (ii) a set of Partial Differential Equation (PDE) constraints to be imposed, and (iii) training on fixed-size inputs on arbitrarily sized spatio-temporal domains owing to its fully convolutional encoder. We empirically study the performance of MESHFREEFLOWNET on the task of super-resolution of turbulent flows in the Rayleigh-Bénard convection problem. Across a diverse set of evaluation metrics, we show that MESHFREEFLOWNET significantly outperforms existing baselines. Furthermore, we provide a large scale implementation of MESHFREEFLOWNET and show that it efficiently scales across large clusters, achieving 96.80% scaling efficiency on up to 128 GPUs and a training time of less than 4 minutes. We provide an opensource implementation of our method that supports arbitrary combinations of PDE constraints.
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Alternate Title: | MeshfreeFlowNet: A Physics-Constrained Deep Continuous Space-Time Super-Resolution Framework | ||||||||||||||||||||||||||||
Additional Information: | © 2020 IEEE. This research used resources of the National Energy Research Scientific Computing Center (NERSC), a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231. The research was performed at the Lawrence Berkeley National Laboratory for the U.S. Department of Energy under Contract No. DE340AC02-5CH11231. K. Kashinath is supported by the Intel Big Data Center at NERSC. K. Azizzadenesheli gratefully acknowledges the financial support of Raytheon and Amazon Web Services. A. Anandkumar is supported in part by Bren endowed chair, DARPA PAIHR00111890035 and LwLL grants, Raytheon, Microsoft, Google, and Adobe faculty fellowships. We also acknowledge the Industrial Consortium on Reservoir Simulation Research at Stanford University (SUPRI-B). | ||||||||||||||||||||||||||||
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Subject Keywords: | Super-Resolution, PDEs, Physics-Constrained, Deep Neural Networks | ||||||||||||||||||||||||||||
DOI: | 10.1109/SC41405.2020.00013 | ||||||||||||||||||||||||||||
Record Number: | CaltechAUTHORS:20200526-153937049 | ||||||||||||||||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200526-153937049 | ||||||||||||||||||||||||||||
Official Citation: | C. “. Jiang et al., "MESHFREEFLOWNET: A Physics-Constrained Deep Continuous Space-Time Super-Resolution Framework," SC20: International Conference for High Performance Computing, Networking, Storage and Analysis, Atlanta, GA, USA, 2020, pp. 1-15, doi: 10.1109/SC41405.2020.00013. | ||||||||||||||||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||||||
ID Code: | 103478 | ||||||||||||||||||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||||||||||||||||||
Deposited By: | Tony Diaz | ||||||||||||||||||||||||||||
Deposited On: | 26 May 2020 22:49 | ||||||||||||||||||||||||||||
Last Modified: | 16 Nov 2021 18:21 |
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