A hybrid bin scheme to solve the condensation/evaporation equation using a cubic distribution function
نویسنده
چکیده
A computationally efficient method is proposed to replace the piecewise linear number distribution in a hybrid bin scheme with a piecewise cubic polynomial. When the linear distribution is replaced by a cubic, the errors generated in solutions to the condensation/evaporation equation are reduced by a factor of two to three. Alternatively, using the cubic distribution function allows reducing the number of bins by 20± 5 % when solving the condensation/evaporation problem without sacrificing accuracy.
منابع مشابه
The role of the gamma function shape parameter in determining differences between condensation rates in bin and bulk microphysics schemes
The condensation and evaporation rates predicted by bin and bulk microphysics schemes in the same model framework are compared in a statistical way using simulations of non-precipitating shallow cumulus clouds. Despite other fundamental disparities between the bin and bulk condensation parameterizations, the differences in condensation rates are predominantly explained by accounting for the wid...
متن کاملA new approach to using the cubic B-spline functions to solve the Black-Scholes equation
Nowadays, options are common financial derivatives. For this reason, by increase of applications for these financial derivatives, the problem of options pricing is one of the most important economic issues. With the development of stochastic models, the need for randomly computational methods caused the generation of a new field called financial engineering. In the financial engineering the pre...
متن کاملSemi-Lagrangian Flux Scheme for the Solution of the Aerosol Condensation/Evaporation Equation
A new method is developed to solve the condensation equation as it relates to air quality models using both semi-Lagrangian and Lagrangian uxes to increase resolution and perform accurately under stringent conditions that occur in the atmosphere. The new method, partitioned ux integrated semi-Lagrangian method (PFISLM), can be used with lower-order interpolators and produces highly accurate...
متن کاملPAIRED ANISOTROPIC DISTRIBUTION FOR IMAGE SELECTIVE SMOOTHING
In this paper, we present a novel approach for image selective smoothing by the evolution of two paired nonlinear partial differential equations. The distribution coefficient in de-noising equation controls the speed of distribution, and is determined by the edge-strength function. In the previous works, the edge-strength function depends on isotropic smoothing of the image...
متن کاملThe simulation of condensation removal of a heavy metal from exhaust gases onto sorbent particles.
A numerical model BAEROSOL for solving the general dynamic equation (GDE) of aerosols is presented. The goal was to model the capture of volatilized metals by sorbents under incinerator-like conditions. The model is based on algorithms presented by Jacobson and Turco [Aerosol Science and Technology 22 (1995) 73]. A hybrid size bin was used to model growth and formation of particles from the con...
متن کامل