1997
DOI: 10.1175/1520-0469(1997)054<2493:vomfco>2.0.co;2
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Variational Optimization Method for Calculation of Cloud Drop Growth in an Eulerian Drop-Size Framework

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Cited by 16 publications
(16 citation statements)
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“…Diffusional growth is calculated using a movable mass grid; i.e., the mass of each bin changes according the solution of the diffusional growth equation. This approach eliminates numerical DSD broadening typical of Eulerian large‐eddy simulation (LES) models [ Liu et al ., ; Khain et al ., ].…”
Section: The Model and Experimental Designmentioning
confidence: 99%
“…Diffusional growth is calculated using a movable mass grid; i.e., the mass of each bin changes according the solution of the diffusional growth equation. This approach eliminates numerical DSD broadening typical of Eulerian large‐eddy simulation (LES) models [ Liu et al ., ; Khain et al ., ].…”
Section: The Model and Experimental Designmentioning
confidence: 99%
“…Note that almost all current bulk schemes represent particle distributions using analytic functions, although some earlier schemes did not make any assumptions about the cloud particle distribution and only considered bulk cloud water content. slower than raindrops) and dynamics through the effects of latent heating from freezing and cooling from melting (e.g., Fovell & Ogura, 1988;Gao et al, 2006;Liu, Kogan, et al, 1997;Lord et al, 1984;McCumber et al, 1991; and many others). Including ice microphysics in a realistic way was a major challenge because of the wide variety of ice particle shapes and types in the atmosphere.…”
Section: A Brief History Of Microphysics Scheme Developmentsmentioning
confidence: 99%
“…A major development in the 1970s and 1980s was the inclusion of ice microphysics (e.g., Cotton et al, 1982; Koenig & Murray, 1976; Lin et al, 1983; Rutledge & Hobbs, 1984). This had important effects on simulations owing to large impacts on sedimentation fluxes (for a given particle mass, low density snowflakes fall much slower than raindrops) and dynamics through the effects of latent heating from freezing and cooling from melting (e.g., Fovell & Ogura, 1988; Gao et al, 2006; Liu, Kogan, et al, 1997; Lord et al, 1984; McCumber et al, 1991; and many others). Including ice microphysics in a realistic way was a major challenge because of the wide variety of ice particle shapes and types in the atmosphere.…”
Section: A Brief History Of Microphysics Scheme Developmentsmentioning
confidence: 99%
“…Due to the formulation of the problem as number conservation and discretization of the evolution equation using fixed bins, even though the numerical scheme is conservative (up to subtle limitations outlined below), evaluation of other statistical moments of the evolved distribution from the number density introduces an inherent discrepancy from the analytical results (for a discussion on multi-moment formulation of the problem, see e.g. Liu et al, 1997).…”
Section: Notes On Conservativenessmentioning
confidence: 99%
“…Following Liu et al (1997) and Morrison et al (2018), the earliest documented study employing Eulerian numerics for condensational growth of a continuous size distribution representing a population of particles is that of Kovetz and Olund (1969) (whereas several earlier works starting with Howell (1949) utilized the Lagrangian approaches). The numerical scheme proposed in Kovetz and Olund (1969, eq.…”
Section: Introductionmentioning
confidence: 99%