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On numerical broadening of particle-size spectra: a condensational growth study using PyMPDATA 1.0

Olesik, Michael A. and Banaśkiewicz, Jakub and Bartman, Piotr and Baumgartner, Manuel and Unterstraßer, Simon and Arabas, Sylwester (2022) On numerical broadening of particle-size spectra: a condensational growth study using PyMPDATA 1.0. Geoscientific Model Development, 15 (9), pp. 3879-3899. Copernicus Publications. doi: 10.5194/gmd-15-3879-2022. ISSN 1991-959X.

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Official URL: https://dx.doi.org/10.5194/gmd-15-3879-2022

Abstract

This work discusses the numerical aspects of representing the condensational growth of particles in models of aerosol systems such as atmospheric clouds. It focuses on the Eulerian modelling approach, in which fixed-bin discretisation is used for the probability density function describing the particle-size spectrum. Numerical diffusion is inherent to the employment of the fixed-bin discretisation for solving the arising transport problem (advection equation describing size spectrum evolution). The focus of this work is on a technique for reducing the numerical diffusion in solutions based on the upwind scheme: the multidimensional positive definite advection transport algorithm (MPDATA). Several MPDATA variants are explored including infinitegauge, non-oscillatory, third-order terms and recursive antidiffusive correction (double-pass donor cell, DPDC) options. Methodologies for handling coordinate transformations associated with both particle-size spectrum coordinate choice and with numerical grid layout choice are expounded. Analysis of the performance of the scheme for different discretisation parameters and different settings of the algorithm is performed using (i) an analytically solvable box-model test case and (ii) the single-column kinematic driver (“KiD”) test case in which the size-spectral advection due to condensation is solved simultaneously with the advection in the vertical spatial coordinate, and in which the supersaturation evolution is coupled with the droplet growth through water mass budget.

Item URL in elib:https://elib.dlr.de/191851/
Document Type:Article
Title:On numerical broadening of particle-size spectra: a condensational growth study using PyMPDATA 1.0
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Olesik, Michael A.Jagiellonian University, Kraków, PolandUNSPECIFIEDUNSPECIFIED
Banaśkiewicz, JakubJagiellonian University, Kraków, PolandUNSPECIFIEDUNSPECIFIED
Bartman, PiotrJagiellonian University, Kraków, PolandUNSPECIFIEDUNSPECIFIED
Baumgartner, ManuelUniversität Mainz, Mainz, GermanyUNSPECIFIEDUNSPECIFIED
Unterstraßer, SimonDLR, IPAhttps://orcid.org/0000-0003-3772-3678UNSPECIFIED
Arabas, SylwesterUniversity of Illinois, Urbana, IL, USAUNSPECIFIEDUNSPECIFIED
Date:2022
Journal or Publication Title:Geoscientific Model Development
Refereed publication:Yes
Open Access:Yes
Gold Open Access:Yes
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:15
DOI:10.5194/gmd-15-3879-2022
Page Range:pp. 3879-3899
Publisher:Copernicus Publications
ISSN:1991-959X
Status:Published
Keywords:Kondensationswachstum, Numerik, Größenverteilung
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Air Transportation and Impact
DLR - Research area:Aeronautics
DLR - Program:L AI - Air Transportation and Impact
DLR - Research theme (Project):L - Climate, Weather and Environment
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Atmospheric Physics > Transport Meteorology
Deposited By: Unterstraßer, Dr. Simon
Deposited On:07 Dec 2022 13:13
Last Modified:13 Dec 2022 15:15

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