A Low Mach Number Model for Moist Atmospheric Flows
Abstract
A low Mach number model for moist atmospheric flows is introduced that accurately incorporates reversible moist processes in flows whose features of interest occur on advective rather than acoustic time scales. Total water is used as a prognostic variable, so that water vapor and liquid water are diagnostically recovered as needed from an exact Clausius–Clapeyron formula for moist thermodynamics. Low Mach number models can be computationally more efficient than a fully compressible model, but the low Mach number formulation introduces additional mathematical and computational complexity because of the divergence constraint imposed on the velocity field. Here in this paper, latent heat release is accounted for in the source term of the constraint by estimating the rate of phase change based on the time variation of saturated water vapor subject to the thermodynamic equilibrium constraint. Finally, the authors numerically assess the validity of the low Mach number approximation for moist atmospheric flows by contrasting the low Mach number solution to reference solutions computed with a fully compressible formulation for a variety of test problems.
- Authors:
-
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Center for Computational Sciences and Engineering
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- OSTI Identifier:
- 1407268
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of the Atmospheric Sciences
- Additional Journal Information:
- Journal Volume: 72; Journal Issue: 4; Journal ID: ISSN 0022-4928
- Publisher:
- American Meteorological Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; Model comparison; Nonhydrostatic models; Numerical analysis/modeling
Citation Formats
Duarte, Max, Almgren, Ann S., and Bell, John B. A Low Mach Number Model for Moist Atmospheric Flows. United States: N. p., 2015.
Web. doi:10.1175/JAS-D-14-0248.1.
Duarte, Max, Almgren, Ann S., & Bell, John B. A Low Mach Number Model for Moist Atmospheric Flows. United States. https://doi.org/10.1175/JAS-D-14-0248.1
Duarte, Max, Almgren, Ann S., and Bell, John B. Wed .
"A Low Mach Number Model for Moist Atmospheric Flows". United States. https://doi.org/10.1175/JAS-D-14-0248.1. https://www.osti.gov/servlets/purl/1407268.
@article{osti_1407268,
title = {A Low Mach Number Model for Moist Atmospheric Flows},
author = {Duarte, Max and Almgren, Ann S. and Bell, John B.},
abstractNote = {A low Mach number model for moist atmospheric flows is introduced that accurately incorporates reversible moist processes in flows whose features of interest occur on advective rather than acoustic time scales. Total water is used as a prognostic variable, so that water vapor and liquid water are diagnostically recovered as needed from an exact Clausius–Clapeyron formula for moist thermodynamics. Low Mach number models can be computationally more efficient than a fully compressible model, but the low Mach number formulation introduces additional mathematical and computational complexity because of the divergence constraint imposed on the velocity field. Here in this paper, latent heat release is accounted for in the source term of the constraint by estimating the rate of phase change based on the time variation of saturated water vapor subject to the thermodynamic equilibrium constraint. Finally, the authors numerically assess the validity of the low Mach number approximation for moist atmospheric flows by contrasting the low Mach number solution to reference solutions computed with a fully compressible formulation for a variety of test problems.},
doi = {10.1175/JAS-D-14-0248.1},
journal = {Journal of the Atmospheric Sciences},
number = 4,
volume = 72,
place = {United States},
year = {Wed Apr 01 00:00:00 EDT 2015},
month = {Wed Apr 01 00:00:00 EDT 2015}
}
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Works referencing / citing this record:
MAESTROeX: A Massively Parallel Low Mach Number Astrophysical Solver
journal, December 2019
- Fan, Duoming; Nonaka, Andrew; Almgren, Ann S.
- The Astrophysical Journal, Vol. 887, Issue 2
A review on regional convection‐permitting climate modeling: Demonstrations, prospects, and challenges
text, January 2015
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- ETH Zurich
MAESTROeX: A Massively Parallel Low Mach Number Astrophysical Solver
text, January 2019
- Fan, Duoming; Nonaka, Andrew; Almgren, Ann S.
- arXiv