2005
DOI: 10.1016/j.crma.2005.04.018
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An optimization problem related to the modeling of atmospheric organic aerosols

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Cited by 11 publications
(18 citation statements)
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References 3 publications
(5 reference statements)
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“…Other numerically efficient approaches to find phase equilibrium, including those of n component mixtures, are available in the literature (e.g., Amundson et al, 2005Amundson et al, , 2007Zuend et al, 2010). Comparison for phase boundaries (x a , x b ) calculated using standard UNI-FAC parameters and the Eubank method used in this model, and standard UNIFAC parameter and the algorithm in the UHAERO model (Amundson et al, 2007) are in good agreement and summarized in the Supplement.…”
Section: Phase Equilibriummentioning
confidence: 57%
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“…Other numerically efficient approaches to find phase equilibrium, including those of n component mixtures, are available in the literature (e.g., Amundson et al, 2005Amundson et al, , 2007Zuend et al, 2010). Comparison for phase boundaries (x a , x b ) calculated using standard UNI-FAC parameters and the Eubank method used in this model, and standard UNIFAC parameter and the algorithm in the UHAERO model (Amundson et al, 2007) are in good agreement and summarized in the Supplement.…”
Section: Phase Equilibriummentioning
confidence: 57%
“…The relationship between critical supersaturation and dry diameter is then predicted using Köhler theory (Seinfeld and Pandis, 2006). The basic model mechanics are similar to those employed in multicomponent phase equilibrium models (Ming and Russell, 2002;Raatikainen and Laaksonen, 2005;Topping et al, 2005;Amundson et al, 2007;Zuend et al, 2008) but limited in scope to binary compositions and with focus on accurately representing phase and water activity at conditions relevant at the point of CCN activation only. These predictions are validated by manually mapping chemical composition to UNI-FAC groupings and comparing modeled CCN activity against observations from a compiled library of recently published CCN data of mostly weakly oxidized hydrocarbons containing a mixture of alcohol, carbonyl, aldehyde, ether, carboxyl, nitrate, and hydroperoxide moieties.…”
Section: D Petters Et Al: Prediction Of Cloud Condensation Nuclementioning
confidence: 99%
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“…the number of phases π and their compositions {y α , x α } α=1,π . The detailed description of the numerical solution of the PEP by a primal-dual interior-point algorithm is given by Amundson et al (2005bAmundson et al ( , 2006b. Essentially, the numerical minimization technique relies on a geometrical concept of phase simplex of the convex hull of the normalized GFE g n to characterize an equilibrium solution that corresponds to a global minimum of the total GFE G n .…”
Section: Modeling Approachmentioning
confidence: 99%
“…In the present work UHAERO is extended for determining the phase equilibrium of organicwater systems. The next section is devoted to a brief summary of the mathematical approach to solving the equilibrium problem, the details of which are given elsewhere (Amundson et al, 2005b(Amundson et al, , 2006b. Section 3 discusses general characteristics of organic phase equilibria, and presents a number of examples of organic phase equilibria calculated Published by Copernicus Publications on behalf of the European Geosciences Union.…”
Section: Introductionmentioning
confidence: 99%