A Time-Discontinuous Galerkin Finite Element Method for the Solution of Impact Problem of Gas-Saturated Coal
Based on the general Biot theory of saturated porous media, a modified time-discontinuous Galerkin finite element method (MDGFEM) is presented to simulate the structural dynamics and wave propagation problems of gas-saturated coal subjected to impact loading. Numerical results of one dimension and t...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/8845056 |
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| _version_ | 1832566048535085056 |
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| author | Jingfei Zhang Deyong Guo Wenhua Wu Pan Guo |
| author_facet | Jingfei Zhang Deyong Guo Wenhua Wu Pan Guo |
| author_sort | Jingfei Zhang |
| collection | DOAJ |
| description | Based on the general Biot theory of saturated porous media, a modified time-discontinuous Galerkin finite element method (MDGFEM) is presented to simulate the structural dynamics and wave propagation problems of gas-saturated coal subjected to impact loading. Numerical results of one dimension and two dimensions show that the present MDGFEM possesses better abilities and provides much more accurate solutions than the traditional Newmark method and previous DGFEM for the impact problem. It can effectively capture the discontinuities of the wave and filter out the effects of spurious numerical oscillation induced by high-frequency impulsive load. The results can provide a technological basis for the research of the prevention of coal and gas dynamic disasters under deep mining. And the method could be useful for the further numerical research of coal-rock-gas coupling problems and coal-gas-heat coupling problems subjected to impact loading. |
| format | Article |
| id | doaj-art-1c2324f2feeb4f8895e7f2c6d5d5b4ff |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-1c2324f2feeb4f8895e7f2c6d5d5b4ff2025-02-03T01:05:12ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88450568845056A Time-Discontinuous Galerkin Finite Element Method for the Solution of Impact Problem of Gas-Saturated CoalJingfei Zhang0Deyong Guo1Wenhua Wu2Pan Guo3School of Emergency Management and Safety Engineering, China University of Mine and Technology, Beijing 100083, ChinaSchool of Emergency Management and Safety Engineering, China University of Mine and Technology, Beijing 100083, ChinaThe State Key Laboratory for Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, ChinaSchool of Mechanics and Safety Engineering, Zhengzhou University, Zhouzhou 450001, ChinaBased on the general Biot theory of saturated porous media, a modified time-discontinuous Galerkin finite element method (MDGFEM) is presented to simulate the structural dynamics and wave propagation problems of gas-saturated coal subjected to impact loading. Numerical results of one dimension and two dimensions show that the present MDGFEM possesses better abilities and provides much more accurate solutions than the traditional Newmark method and previous DGFEM for the impact problem. It can effectively capture the discontinuities of the wave and filter out the effects of spurious numerical oscillation induced by high-frequency impulsive load. The results can provide a technological basis for the research of the prevention of coal and gas dynamic disasters under deep mining. And the method could be useful for the further numerical research of coal-rock-gas coupling problems and coal-gas-heat coupling problems subjected to impact loading.http://dx.doi.org/10.1155/2020/8845056 |
| spellingShingle | Jingfei Zhang Deyong Guo Wenhua Wu Pan Guo A Time-Discontinuous Galerkin Finite Element Method for the Solution of Impact Problem of Gas-Saturated Coal Shock and Vibration |
| title | A Time-Discontinuous Galerkin Finite Element Method for the Solution of Impact Problem of Gas-Saturated Coal |
| title_full | A Time-Discontinuous Galerkin Finite Element Method for the Solution of Impact Problem of Gas-Saturated Coal |
| title_fullStr | A Time-Discontinuous Galerkin Finite Element Method for the Solution of Impact Problem of Gas-Saturated Coal |
| title_full_unstemmed | A Time-Discontinuous Galerkin Finite Element Method for the Solution of Impact Problem of Gas-Saturated Coal |
| title_short | A Time-Discontinuous Galerkin Finite Element Method for the Solution of Impact Problem of Gas-Saturated Coal |
| title_sort | time discontinuous galerkin finite element method for the solution of impact problem of gas saturated coal |
| url | http://dx.doi.org/10.1155/2020/8845056 |
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