Radial Basis Function Method for Predicting the Evolution of Aerosol Size Distributions for Coagulation Problems
The dynamic evolution of particle size distributions (PSDs) during coagulation is of great importance in many atmospheric and engineering applications. To date, various numerical methods have been developed for solving the general dynamic equation under different scenarios. In this study, a radial b...
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| Format: | Article |
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MDPI AG
2022-11-01
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| Series: | Atmosphere |
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| Online Access: | https://www.mdpi.com/2073-4433/13/11/1895 |
| _version_ | 1797465947474231296 |
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| author | Kaiyuan Wang Run Hu Yuming Xiong Fei Xie Suyuan Yu |
| author_facet | Kaiyuan Wang Run Hu Yuming Xiong Fei Xie Suyuan Yu |
| author_sort | Kaiyuan Wang |
| collection | DOAJ |
| description | The dynamic evolution of particle size distributions (PSDs) during coagulation is of great importance in many atmospheric and engineering applications. To date, various numerical methods have been developed for solving the general dynamic equation under different scenarios. In this study, a radial basis function (RBF) method was proposed to solve particle coagulation evolution. This method uses a Gaussian function as the basis function to approximate the size distribution function. The original governing equation was then converted to ordinary differential equations (ODEs), along with numerical quadratures. The RBF method was compared with the analytical solutions and sectional method to validate its accuracy. The comparison results showed that the RBF method provided almost accurate predictions of the PSDs for different coagulation kernels. This method was also verified to be reliable in predicting the self-preserving distributions reached over long periods and for describing the temporal evolution of moments. For multimodal coagulation, the RBF method also accurately predicted the temporal evolution of a bimodal distribution owing to scavenging effects. Moreover, the computational times of the RBF method for these cases were usually of the order of seconds. Thus, the RBF method is verified as a reliable and efficient tool for predicting PSD evolution during coagulation. |
| first_indexed | 2024-03-09T18:28:51Z |
| format | Article |
| id | doaj.art-e925169fc83e4030aa41e6e262e43c6b |
| institution | Directory Open Access Journal |
| issn | 2073-4433 |
| language | English |
| last_indexed | 2024-03-09T18:28:51Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
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| series | Atmosphere |
| spelling | doaj.art-e925169fc83e4030aa41e6e262e43c6b2023-11-24T07:42:33ZengMDPI AGAtmosphere2073-44332022-11-011311189510.3390/atmos13111895Radial Basis Function Method for Predicting the Evolution of Aerosol Size Distributions for Coagulation ProblemsKaiyuan Wang0Run Hu1Yuming Xiong2Fei Xie3Suyuan Yu4School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSmoore International Holdings Ltd., Shenzhen 518102, ChinaSmoore International Holdings Ltd., Shenzhen 518102, ChinaDepartment of Energy and Power Engineering, Tsinghua University, Beijing 100084, ChinaThe dynamic evolution of particle size distributions (PSDs) during coagulation is of great importance in many atmospheric and engineering applications. To date, various numerical methods have been developed for solving the general dynamic equation under different scenarios. In this study, a radial basis function (RBF) method was proposed to solve particle coagulation evolution. This method uses a Gaussian function as the basis function to approximate the size distribution function. The original governing equation was then converted to ordinary differential equations (ODEs), along with numerical quadratures. The RBF method was compared with the analytical solutions and sectional method to validate its accuracy. The comparison results showed that the RBF method provided almost accurate predictions of the PSDs for different coagulation kernels. This method was also verified to be reliable in predicting the self-preserving distributions reached over long periods and for describing the temporal evolution of moments. For multimodal coagulation, the RBF method also accurately predicted the temporal evolution of a bimodal distribution owing to scavenging effects. Moreover, the computational times of the RBF method for these cases were usually of the order of seconds. Thus, the RBF method is verified as a reliable and efficient tool for predicting PSD evolution during coagulation.https://www.mdpi.com/2073-4433/13/11/1895radial basis function methodparticle size distributionpopulation balancecoagulation |
| spellingShingle | Kaiyuan Wang Run Hu Yuming Xiong Fei Xie Suyuan Yu Radial Basis Function Method for Predicting the Evolution of Aerosol Size Distributions for Coagulation Problems Atmosphere radial basis function method particle size distribution population balance coagulation |
| title | Radial Basis Function Method for Predicting the Evolution of Aerosol Size Distributions for Coagulation Problems |
| title_full | Radial Basis Function Method for Predicting the Evolution of Aerosol Size Distributions for Coagulation Problems |
| title_fullStr | Radial Basis Function Method for Predicting the Evolution of Aerosol Size Distributions for Coagulation Problems |
| title_full_unstemmed | Radial Basis Function Method for Predicting the Evolution of Aerosol Size Distributions for Coagulation Problems |
| title_short | Radial Basis Function Method for Predicting the Evolution of Aerosol Size Distributions for Coagulation Problems |
| title_sort | radial basis function method for predicting the evolution of aerosol size distributions for coagulation problems |
| topic | radial basis function method particle size distribution population balance coagulation |
| url | https://www.mdpi.com/2073-4433/13/11/1895 |
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