Submitted as: development and technical paper 18 Feb 2021

Submitted as: development and technical paper | 18 Feb 2021

Review status: a revised version of this preprint is currently under review for the journal GMD.

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

Michael Olesik1, Sylwester Arabas1, Jakub Banaśkiewicz1, Piotr Bartman1, Manuel Baumgartner2,3, and Simon Unterstrasser4 Michael Olesik et al.
  • 1Jagiellonian University, Kraków, Poland
  • 2Zentrum für Datenverarbeitung, Johannes Gutenberg University Mainz, Germany
  • 3Institute for Atmospheric Physics, Johannes Gutenberg University Mainz, Germany
  • 4German Aerospace Center (DLR), Oberpfaffenhofen, Germany

Abstract. The work discusses the diffusional growth in particulate systems such as atmospheric clouds. It focuses on the Eulerian modeling approach in which the evolution of the probability density function describing the particle size spectrum is carried out using a fixed-bin discretization. The numerical diffusion problem inherent to the employment of the fixed-bin discretization is scrutinized. The work focuses on the applications of MPDATA family of numerical schemes. Several MPDATA variants are explored including: infinite-gauge, non-oscillatory, third-order-terms and recursive antidiffusive correction (double pass donor cell, DPDC) options. Methodology for handling coordinate transformations associated with both particle size distribution variable choice and numerical grid layout are expounded. The study uses PyMPDATA – a new open-source Python implementation of MPDATA. Analysis of the performance of the scheme for different discretization parameters and different settings of the algorithm is performed using an analytically solvable test case pertinent to condensational growth of cloud droplets. The analysis covers spatial and temporal convergence, computational cost, conservativeness and quantification of the numerical broadening of the particle size spectrum. Presented results demonstrate that, for the problem considered, even a tenfold decrease of the spurious numerical spectral broadening can be obtained by a proper choice of the MPDATA variant (maintaining the same spatial and temporal resolution).

Michael Olesik et al.

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on gmd-2020-404', Josef Schröttle, 24 Feb 2021
  • RC2: 'Comment on gmd-2020-404', Anonymous Referee #2, 01 May 2021
  • RC3: 'Comment on gmd-2020-404', Anonymous Referee #3, 04 May 2021
  • AC1: 'Reply to all three comments (incl. revised manuscript with changes highlighted)', Michael Olesik, 02 Aug 2021

Michael Olesik et al.

Michael Olesik et al.


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