A solver for aerosol condensation equation by semi-Lagrangian scheme with correction exactly conserving total particle number

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5 Citations (Scopus)

Abstract

Semi-Lagrangian scheme (cubic polynomial semi-Lagrangian (CSL) or cubic interpolated propagation (CIP) scheme) is applied to condensation equation of cumulative number distribution, and simple correction using mathematical constrains of cumulative number distribution is applied after the semi-Lagrangian procedure at each time step. This solver exactly conserves total particle number N and prevents overshoots of aerosol size distribution with steep gradients. The total surface area S and the total volume V are also easily conserved within small error. In the cases where the size distributions are not extremely sharp, CSL and CIP both can be utilized in the solver for the aerosol condensation. On the other hand, in the cases where the distributions are quite sharp, the solver using CIP gives the almost same result as the exact solution.

Original languageEnglish
Pages (from-to)1033-1043
Number of pages11
JournalAerosol Science and Technology
Volume38
Issue number10
DOIs
Publication statusPublished - Oct 1 2004
Externally publishedYes

Fingerprint

Aerosols
condensation
Condensation
Polynomials
aerosol
Particles (particulate matter)
surface area
particle size
distribution
particle

All Science Journal Classification (ASJC) codes

  • Environmental Chemistry
  • Materials Science(all)
  • Pollution

Cite this

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title = "A solver for aerosol condensation equation by semi-Lagrangian scheme with correction exactly conserving total particle number",
abstract = "Semi-Lagrangian scheme (cubic polynomial semi-Lagrangian (CSL) or cubic interpolated propagation (CIP) scheme) is applied to condensation equation of cumulative number distribution, and simple correction using mathematical constrains of cumulative number distribution is applied after the semi-Lagrangian procedure at each time step. This solver exactly conserves total particle number N and prevents overshoots of aerosol size distribution with steep gradients. The total surface area S and the total volume V are also easily conserved within small error. In the cases where the size distributions are not extremely sharp, CSL and CIP both can be utilized in the solver for the aerosol condensation. On the other hand, in the cases where the distributions are quite sharp, the solver using CIP gives the almost same result as the exact solution.",
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