Applications of ANFIS-Type Methods in Simulation of Systems in Marine Environments
ANFIS-type algorithms have been used in various modeling and simulation problems. With the help of algorithms with more accuracy and adaptability, it is possible to obtain better real-life emulating models. A critical environmental problem is the discharge of saline industrial effluents in the form...
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| Format: | Article |
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MDPI AG
2022-03-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/27/2/29 |
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| author | Aakanksha Jain Iman Bahreini Toussi Abdolmajid Mohammadian Hossein Bonakdari Majid Sartaj |
| author_facet | Aakanksha Jain Iman Bahreini Toussi Abdolmajid Mohammadian Hossein Bonakdari Majid Sartaj |
| author_sort | Aakanksha Jain |
| collection | DOAJ |
| description | ANFIS-type algorithms have been used in various modeling and simulation problems. With the help of algorithms with more accuracy and adaptability, it is possible to obtain better real-life emulating models. A critical environmental problem is the discharge of saline industrial effluents in the form of buoyant jets into water bodies. Given the potentially harmful effects of the discharge effluents from desalination plants on the marine environment and the coastal ecosystem, minimizing such an effect is crucial. Hence, it is important to design the outfall system properly to reduce these impacts. To the best of the authors’ knowledge, a study that formulates the effluent discharge to find an optimum numerical model under the conditions considered here using AI methods has not been completed before. In this study, submerged discharges, specifically, negatively buoyant jets are modeled. The objective of this study is to compare various artificial intelligence algorithms along with multivariate regression models to find the best fit model emulating effluent discharge and determine the model with less computational time. This is achieved by training and testing the Adaptive Neuro-Fuzzy Inference System (ANFIS), ANFIS-Genetic Algorithm (GA), ANFIS-Particle Swarm Optimization (PSO) and ANFIS-Firefly Algorithm (FFA) models with input parameters, which are obtained by using the realizable k-ε turbulence model, and simulated parameters, which are obtained after modeling the turbulent jet using the OpenFOAM simulation platform. A comparison of the realizable k-ε turbulence model outputs and AI algorithms’ outputs is conducted in this study. Statistical parameters such as least error, coefficient of determination (<i>R</i><sup>2</sup>), Mean Absolute Error (MAE), and Average Absolute Deviation (AED) are measured to evaluate the performance of the models. In this work, it is found that ANFIS-PSO performs better compared to the other four models and the multivariate regression model. It is shown that this model provides better <i>R</i><sup>2</sup>, MAE, and AED, however, the non-hybrid ANFIS model provides reasonably acceptable results with lower computational costs. The results of the study demonstrate an error of 6.908% as the best-case scenario in the AI models. |
| first_indexed | 2024-03-09T04:25:44Z |
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| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-09T04:25:44Z |
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| spelling | doaj.art-5403cbd6dabe4468866993bfc97795252023-12-03T13:40:52ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472022-03-012722910.3390/mca27020029Applications of ANFIS-Type Methods in Simulation of Systems in Marine EnvironmentsAakanksha Jain0Iman Bahreini Toussi1Abdolmajid Mohammadian2Hossein Bonakdari3Majid Sartaj4Department of Civil Engineering, University of Ottawa, 161 Louis Pasteur Private, Ottawa, ON K1N 6N5, CanadaDepartment of Civil Engineering, University of Ottawa, 161 Louis Pasteur Private, Ottawa, ON K1N 6N5, CanadaDepartment of Civil Engineering, University of Ottawa, 161 Louis Pasteur Private, Ottawa, ON K1N 6N5, CanadaDepartment of Civil Engineering, University of Ottawa, 161 Louis Pasteur Private, Ottawa, ON K1N 6N5, CanadaDepartment of Environmental Engineering, University of Ottawa, 161 Louis Pasteur Private, Ottawa, ON K1N 6N5, CanadaANFIS-type algorithms have been used in various modeling and simulation problems. With the help of algorithms with more accuracy and adaptability, it is possible to obtain better real-life emulating models. A critical environmental problem is the discharge of saline industrial effluents in the form of buoyant jets into water bodies. Given the potentially harmful effects of the discharge effluents from desalination plants on the marine environment and the coastal ecosystem, minimizing such an effect is crucial. Hence, it is important to design the outfall system properly to reduce these impacts. To the best of the authors’ knowledge, a study that formulates the effluent discharge to find an optimum numerical model under the conditions considered here using AI methods has not been completed before. In this study, submerged discharges, specifically, negatively buoyant jets are modeled. The objective of this study is to compare various artificial intelligence algorithms along with multivariate regression models to find the best fit model emulating effluent discharge and determine the model with less computational time. This is achieved by training and testing the Adaptive Neuro-Fuzzy Inference System (ANFIS), ANFIS-Genetic Algorithm (GA), ANFIS-Particle Swarm Optimization (PSO) and ANFIS-Firefly Algorithm (FFA) models with input parameters, which are obtained by using the realizable k-ε turbulence model, and simulated parameters, which are obtained after modeling the turbulent jet using the OpenFOAM simulation platform. A comparison of the realizable k-ε turbulence model outputs and AI algorithms’ outputs is conducted in this study. Statistical parameters such as least error, coefficient of determination (<i>R</i><sup>2</sup>), Mean Absolute Error (MAE), and Average Absolute Deviation (AED) are measured to evaluate the performance of the models. In this work, it is found that ANFIS-PSO performs better compared to the other four models and the multivariate regression model. It is shown that this model provides better <i>R</i><sup>2</sup>, MAE, and AED, however, the non-hybrid ANFIS model provides reasonably acceptable results with lower computational costs. The results of the study demonstrate an error of 6.908% as the best-case scenario in the AI models.https://www.mdpi.com/2297-8747/27/2/29OpenFOAMCFDANFISANFIS (GA)ANFIS (PSO)ANFIS (FFA) |
| spellingShingle | Aakanksha Jain Iman Bahreini Toussi Abdolmajid Mohammadian Hossein Bonakdari Majid Sartaj Applications of ANFIS-Type Methods in Simulation of Systems in Marine Environments Mathematical and Computational Applications OpenFOAM CFD ANFIS ANFIS (GA) ANFIS (PSO) ANFIS (FFA) |
| title | Applications of ANFIS-Type Methods in Simulation of Systems in Marine Environments |
| title_full | Applications of ANFIS-Type Methods in Simulation of Systems in Marine Environments |
| title_fullStr | Applications of ANFIS-Type Methods in Simulation of Systems in Marine Environments |
| title_full_unstemmed | Applications of ANFIS-Type Methods in Simulation of Systems in Marine Environments |
| title_short | Applications of ANFIS-Type Methods in Simulation of Systems in Marine Environments |
| title_sort | applications of anfis type methods in simulation of systems in marine environments |
| topic | OpenFOAM CFD ANFIS ANFIS (GA) ANFIS (PSO) ANFIS (FFA) |
| url | https://www.mdpi.com/2297-8747/27/2/29 |
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