Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method
This paper focuses on efficiently numerical investigation of two-dimensional heat conduction problems of material subjected to multiple moving Gaussian point heat sources. All heat sources are imposed on the inside of material and assumed to move along some specified straight lines or curves with ti...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/6067854 |
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| _version_ | 1850235254496821248 |
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| author | Zhicheng Hu Zhihui Liu |
| author_facet | Zhicheng Hu Zhihui Liu |
| author_sort | Zhicheng Hu |
| collection | DOAJ |
| description | This paper focuses on efficiently numerical investigation of two-dimensional heat conduction problems of material subjected to multiple moving Gaussian point heat sources. All heat sources are imposed on the inside of material and assumed to move along some specified straight lines or curves with time-dependent velocities. A simple but efficient moving mesh method, which continuously adjusts the two-dimensional mesh dimension by dimension upon the one-dimensional moving mesh partial differential equation with an appropriate monitor function of the temperature field, has been developed. The physical model problem is then solved on this adaptive moving mesh. Numerical experiments are presented to exhibit the capability of the proposed moving mesh algorithm to efficiently and accurately simulate the moving heat source problems. The transient heat conduction phenomena due to various parameters of the moving heat sources, including the number of heat sources and the types of motion, are well simulated and investigated. |
| format | Article |
| id | doaj-art-1adcfbe2fe544f8787d8a3c363f7cc9d |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-1adcfbe2fe544f8787d8a3c363f7cc9d2025-08-20T02:02:20ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/60678546067854Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh MethodZhicheng Hu0Zhihui Liu1Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaDepartment of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaThis paper focuses on efficiently numerical investigation of two-dimensional heat conduction problems of material subjected to multiple moving Gaussian point heat sources. All heat sources are imposed on the inside of material and assumed to move along some specified straight lines or curves with time-dependent velocities. A simple but efficient moving mesh method, which continuously adjusts the two-dimensional mesh dimension by dimension upon the one-dimensional moving mesh partial differential equation with an appropriate monitor function of the temperature field, has been developed. The physical model problem is then solved on this adaptive moving mesh. Numerical experiments are presented to exhibit the capability of the proposed moving mesh algorithm to efficiently and accurately simulate the moving heat source problems. The transient heat conduction phenomena due to various parameters of the moving heat sources, including the number of heat sources and the types of motion, are well simulated and investigated.http://dx.doi.org/10.1155/2020/6067854 |
| spellingShingle | Zhicheng Hu Zhihui Liu Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method Advances in Mathematical Physics |
| title | Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method |
| title_full | Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method |
| title_fullStr | Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method |
| title_full_unstemmed | Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method |
| title_short | Heat Conduction Simulation of 2D Moving Heat Source Problems Using a Moving Mesh Method |
| title_sort | heat conduction simulation of 2d moving heat source problems using a moving mesh method |
| url | http://dx.doi.org/10.1155/2020/6067854 |
| work_keys_str_mv | AT zhichenghu heatconductionsimulationof2dmovingheatsourceproblemsusingamovingmeshmethod AT zhihuiliu heatconductionsimulationof2dmovingheatsourceproblemsusingamovingmeshmethod |