Two-component aerosol dynamic simulation using differentially weighted operator splitting Monte Carlo method

Liu, H.M.; Chan, Tat Leung

doi:10.1016/j.apm.2018.05.033

Cited by 13 publications

(15 citation statements)

References 50 publications

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“…In Case 3, a free molecular coagulation kernel is adopted and the initial size distribution is represented by an exponential function as follows (Zhao et al , 2005): where v g 0 is the initial mean volume, which is defined as v g 0 = 1 × 10 −22 m 3 (Liu and Chan, 2018b) in the present study. The numerical results of the DSMC, MMC and WFMC methods are shown in Figure 8.…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…More generally, the weighted flow algorithm (WFA) proposed by DeVille et al (2011) can work with arbitrary weighting functions, especially in the power law functions of particle size. The new stochastically and differentially weighted operator splitting MC methods were first developed by the research group (Liu and Chan, 2017b, 2018b, 2019; Liu et al , 2019, 2021). Another stochastic error reduction technique is the multi-Monte Carlo (MMC) method proposed by the research group (Zhao et al , 2005, 2009), which leads the concept of “fictitious particles” where the number of fictitious particles and the simulation volume are both maintained constant.…”

Section: Introductionmentioning

confidence: 99%

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A new weighted fraction Monte Carlo method for particle coagulation

Jiang

Chan

2021

HFF

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Purpose The purpose of this study is to investigate the aerosol dynamics of the particle coagulation process using a newly developed weighted fraction Monte Carlo (WFMC) method. Design/methodology/approach The weighted numerical particles are adopted in a similar manner to the multi-Monte Carlo (MMC) method, with the addition of a new fraction function (α). Probabilistic removal is also introduced to maintain a constant number scheme. Findings Three typical cases with constant kernel, free-molecular coagulation kernel and different initial distributions for particle coagulation are simulated and validated. The results show an excellent agreement between the Monte Carlo (MC) method and the corresponding analytical solutions or sectional method results. Further numerical results show that the critical stochastic error in the newly proposed WFMC method is significantly reduced when compared with the traditional MMC method for higher-order moments with only a slight increase in computational cost. The particle size distribution is also found to extend for the larger size regime with the WFMC method, which is traditionally insufficient in the classical direct simulation MC and MMC methods. The effects of different fraction functions on the weight function are also investigated. Originality Value Stochastic error is inevitable in MC simulations of aerosol dynamics. To minimize this critical stochastic error, many algorithms, such as MMC method, have been proposed. However, the weight of the numerical particles is not adjustable. This newly developed algorithm with an adjustable weight of the numerical particles can provide improved stochastic error reduction.

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Section: Numerical Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A new weighted fraction Monte Carlo method for particle coagulation

Jiang

Chan

2021

HFF

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“…The optimal value can be obtained by [34]

{\begin{cases} β_{t + 1} = λ β_{t} + θ (\mod M) t = 0, 1, \dots, n \\ R = \frac{β_{t + 1}}{M} \end{cases}

where λ , θ , and M represent the multiplier, increment, and modulus of the Monte Carlo, respectively. Therefore, the position Φ t of magnetic particle group is determined as

Φ^{t} = (ϕ_{1}^{t}, ϕ_{2}^{t}, \dots, ϕ_{n}^{t})

…”

Section: Resultsmentioning

confidence: 99%

Bidisperse Magnetic Particles Coated with Gelatin and Graphite Oxide: Magnetorheology, Dispersion Stability, and the Nanoparticle-Enhancing Effect

Yao

Zhao

et al. 2018

Nanomaterials

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The magnetorheology and dispersion stability of bidisperse magnetic particles (BMP)-based magnetorheological (MR) fluids were improved by applying a novel functional coating composed of gelatin and graphite oxide (GO) to the surfaces of the micron-sized carbonyl iron (CI) and nanoparticles Fe3O4. Gelatin acted as a grafting agent to reduce the aggregation and sedimentation of CI particles and prevent nanoparticles Fe3O4 from oxidation. In addition, a dense GO network on the surface of gelatin-coated BMP was synthesized by self-assembly to possess a better MR performance and redispersibility. The rheological properties of MR fluids containing dual-coated BMP were measured by a rotational rheometer under the presence of magnetic field and their dispersion stability was examined through sedimentation tests. The results showed that CI@Fe3O4@Gelatin@GO (CI@Fe3O4@G@GO) particles possessed enhanced MR properties and dispersion stability. In addition, the nanoparticle-enhancing effects on the dispersion stability of BMP-based MR fluids were investigated using Monte Carlo simulations.

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“…In Cases I and II, the initial particles have a uniform diameter of 1.5µm and the DWOSMC method is validated by analytical solutions [39,40]. In Case I, constant rate coagulation kernel (β = β 0 ) and linear rate condensation/evaporation kernel (I = I 1 υ) are considered; in Case II, linear rate coagulation kernel (β = β 1 (υ 1 + υ 2 )) and linear rate condensation/evaporation kernel (I = I 1 υ) are considered; and the analytical solutions for Cases I and II are shown as Equations (22,23) and (24,25), respectively. In Cases I and II, the simulation time is 4s.…”

Section: Coagulation and Condensation/evaporation Processes In Single...mentioning

confidence: 99%

“…Moreover, it becomes complicated and difficult when solving multi-component particle systems using the MOM and SM [20][21][22]. While the MC method is relatively straightforward for solving the complex multidimensional and multicomponent particle systems, it is also easy to find the internal information and the historical trajectory of the aerosols [23,24].…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of Droplet Aerosol Coagulation, Condensation/Evaporation and Deposition Processes

et al. 2022

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The differentially weighted operator-splitting Monte Carlo (DWOSMC) method is further developed to describe the droplet aerosol dynamic behaviors, including coagulation, deposition, condensation, and evaporation processes. It is first proposed that the droplet aerosols will experience firstly condensation and then evaporation, and this phenomenon is first implemented into the Monte Carlo method and sectional method with considering coagulation, deposition, and condensation/evaporation processes in both single-component and two-component aerosol particle systems. It is found that the calculated results of the DWOSMC method agree well with both the analytical solutions and the sectional method. The further developed DWOSMC method can predict the variation of particle number density, total particle volume, mean particle diameter, particle size distributions, and the component-related particle volume densities in both single component and two-component droplet aerosol systems considering coagulation, deposition, and condensation/evaporation processes.

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Two-component aerosol dynamic simulation using differentially weighted operator splitting Monte Carlo method

Cited by 13 publications

References 50 publications

A new weighted fraction Monte Carlo method for particle coagulation

A new weighted fraction Monte Carlo method for particle coagulation

Bidisperse Magnetic Particles Coated with Gelatin and Graphite Oxide: Magnetorheology, Dispersion Stability, and the Nanoparticle-Enhancing Effect

Numerical Modeling of Droplet Aerosol Coagulation, Condensation/Evaporation and Deposition Processes

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