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Open Access Semi-Lagrangian Flux Scheme for the Solution of the Aerosol Condensation/Evaporation Equation

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Abstract:

A new method is developed to solve the condensation equation as it relates to air quality models using both semi-Lagrangian and Lagrangian fluxes to increase resolution and perform accurately under stringent conditions that occur in the atmosphere. The new method, partitioned flux integrated semi-Lagrangian method (PFISLM), can be used with lower-order interpolators and produces highly accurate results. PFISLM is positive definite, peak retentive, mass conservative, and suppresses oscillations. Research indicates that the differences between PFISLM and traditional flux integrated semi-Lagrangian methods as proposed by Bott (1989) and Emde (1991) are significant when solving the aerosol condensation/evaporation equation. PFISLM is created to handle specific difficulties associated with the time and space discretization of the aerosol operator in air quality models.

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/027868202753571232

Affiliations: Department of Mechanical and Aerospace Engineering, University of California Irvine, Irvine, California

Publication date: April 1, 2002

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