DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Reduced‐Order Modeling for Linearized Representations of Microphysical Process Rates

Journal Article · · Journal of Advances in Modeling Earth Systems
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]
  1. Department of Earth and Environmental Engineering Columbia University New York NY USA
  2. Center for Climate Systems Research Columbia University New York NY USA, NASA Goddard Institute for Space Studies New York NY USA
  3. Pacific Northwest National Laboratory Richland WA USA
  4. National Center for Atmospheric Research Boulder CO USA

Abstract Representing cloud microphysical processes in large scale atmospheric models is challenging because many processes depend on the details of the droplet size distribution (DSD, the spectrum of droplets with different sizes in a cloud). While full or partial statistical moments of droplet size distributions are the typical variables used in bulk models, prognostic moments are limited in their ability to represent microphysical processes across the range of conditions experienced in the atmosphere. Microphysical parameterizations employing prognostic moments are known to suffer from structural uncertainty in their representations of inherently higher dimensional cloud processes, which limit model fidelity and lead to forecasting errors. Here we investigate how data‐driven reduced‐order modeling can be used to learn predictors for microphysical process rates in bulk microphysics schemes in an unsupervised manner from higher dimensional bin distributions. Using simulations characteristic of marine stratiform clouds, we simultaneously learn lower dimensional representations of droplet size distributions and predict the evolution of the microphysical state of the system. Droplet collision‐coalescence, the main process for generating warm rain, is estimated to have an intrinsic dimension of three. This intrinsic dimension provides a lower limit on the number of degrees of freedom needed to accurately represent collision‐coalescence in models. We demonstrate how deep learning based reduced‐order modeling can be used to discover intrinsic coordinates describing the microphysical state of the system, where process rates such as collision‐coalescence are globally linearized. These implicitly learned representations of the DSD retain more information about the DSD than typical moment‐based representations.

Sponsoring Organization:
USDOE
Grant/Contract Number:
NONE; SC0021270; SC0022323; SC0023151; SC0023020
OSTI ID:
2391023
Journal Information:
Journal of Advances in Modeling Earth Systems, Journal Name: Journal of Advances in Modeling Earth Systems Journal Issue: 7 Vol. 16; ISSN 1942-2466
Publisher:
American Geophysical Union (AGU)Copyright Statement
Country of Publication:
United States
Language:
English

References (22)

Representation of microphysical processes in cloud-resolving models: Spectral (bin) microphysics versus bulk parameterization: BIN VS BULK journal May 2015
Multivariate quadrature for representing cloud condensation nuclei activity of aerosol populations: MULTIVARITE QUADRATURE FOR CCN journal September 2017
Implicit learning of convective organization explains precipitation stochasticity preprint September 2022
Droplet growth in warm turbulent clouds
  • Devenish, B. J.; Bartello, P.; Brenguier, J. -L.
  • Quarterly Journal of the Royal Meteorological Society, Vol. 138, Issue 667 https://doi.org/10.1002/qj.1897
journal February 2012
The super-droplet method for the numerical simulation of clouds and precipitation: a particle-based and probabilistic microphysics model coupled with a non-hydrostatic model journal July 2009
Three-Moment Representation of Rain in a Bulk Microphysics Model journal January 2019
Confronting the Challenge of Modeling Cloud and Precipitation Microphysics journal July 2020
Using an Arbitrary Moment Predictor to Investigate the Optimal Choice of Prognostic Moments in Bulk Cloud Microphysics Schemes journal December 2019
Observational Constraints on Warm Cloud Microphysical Processes Using Machine Learning and Optimization Techniques journal January 2021
Machine Learning the Warm Rain Process journal February 2021
Potential and Limitations of Machine Learning for Modeling Warm‐Rain Cloud Microphysical Processes journal November 2020
Limitations of Separate Cloud and Rain Categories in Parameterizing Collision‐Coalescence for Bulk Microphysics Schemes journal June 2022
Spanning the Gap From Bulk to Bin: A Novel Spectral Microphysics Method journal November 2022
Dynamical Systems of Continuous Spectra journal March 1932
Data-driven discovery of coordinates and governing equations journal October 2019
Description of Aerosol Dynamics by the Quadrature Method of Moments journal January 1997
Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification conference December 2015
Sedimentation-Induced Errors in Bulk Microphysics Schemes journal December 2010
Parameterization of Cloud Microphysics Based on the Prediction of Bulk Ice Particle Properties. Part I: Scheme Description and Idealized Tests journal January 2015
Scikit-Dimension: A Python Package for Intrinsic Dimension Estimation journal October 2021
kdlamb/neural-dsd: Code repository for Reduced-order modeling for linearized representations1 of microphysical process rates software February 2024
Reduced Order Modeling for Linearized Representations of Microphysical Process Rates dataset January 2022