Simulation of 3D grinding temperature field by using an improved finite difference method
3D grinding temperature field can be simulated by the finite difference method. When the finite difference method is used to calculate the temperature field, the boundary conditions need to be considered. Unfortunately, the difference equations for internal nodes and boundary nodes are not the same....
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| Veröffentlicht in: | International journal of advanced manufacturing technology 2020-06, Vol.108 (11-12), p.3871-3884 |
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| container_title | International journal of advanced manufacturing technology |
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| creator | Chen, Hao Zhao, Ji Dai, Yuanxing Wang, Zixuan Yu, Tianbiao |
| description | 3D grinding temperature field can be simulated by the finite difference method. When the finite difference method is used to calculate the temperature field, the boundary conditions need to be considered. Unfortunately, the difference equations for internal nodes and boundary nodes are not the same. For cuboid computing domains, there are twenty-six types of boundary nodes. This reduces the calculation efficiency to a certain extent. An improved finite difference method for the 3D grinding temperature field was proposed to solve this problem in this paper. By adding auxiliary nodes, the boundary nodes are converted into internal nodes, and the difference equations of the boundary nodes and internal nodes are unified. In this paper, the improved algorithm was used to simulate the 3D grinding temperature field. The temperature distribution characteristics of the grinding temperature field were analyzed. Then, the effects of heat source type, space step size, and convective heat transfer coefficient on the temperature field were studied. The results show that the improved algorithm can well simulate the 3D grinding temperature field. Finally, compared with the original algorithm, the calculation results were completely consistent, and the efficiency is improved by about 20%. |
| doi_str_mv | 10.1007/s00170-020-05513-5 |
| format | Article |
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When the finite difference method is used to calculate the temperature field, the boundary conditions need to be considered. Unfortunately, the difference equations for internal nodes and boundary nodes are not the same. For cuboid computing domains, there are twenty-six types of boundary nodes. This reduces the calculation efficiency to a certain extent. An improved finite difference method for the 3D grinding temperature field was proposed to solve this problem in this paper. By adding auxiliary nodes, the boundary nodes are converted into internal nodes, and the difference equations of the boundary nodes and internal nodes are unified. In this paper, the improved algorithm was used to simulate the 3D grinding temperature field. The temperature distribution characteristics of the grinding temperature field were analyzed. Then, the effects of heat source type, space step size, and convective heat transfer coefficient on the temperature field were studied. The results show that the improved algorithm can well simulate the 3D grinding temperature field. Finally, compared with the original algorithm, the calculation results were completely consistent, and the efficiency is improved by about 20%.</description><identifier>ISSN: 0268-3768</identifier><identifier>EISSN: 1433-3015</identifier><identifier>DOI: 10.1007/s00170-020-05513-5</identifier><language>eng</language><publisher>London: Springer London</publisher><subject>Algorithms ; Boundary conditions ; CAE) and Design ; Computer simulation ; Computer-Aided Engineering (CAD ; Convective heat transfer ; Difference equations ; Engineering ; Finite difference method ; Grinding ; Heat transfer coefficients ; Industrial and Production Engineering ; Mathematical analysis ; Mechanical Engineering ; Media Management ; Nodes ; Original Article ; Simulation ; Temperature distribution ; Viscosity</subject><ispartof>International journal of advanced manufacturing technology, 2020-06, Vol.108 (11-12), p.3871-3884</ispartof><rights>Springer-Verlag London Ltd., part of Springer Nature 2020</rights><rights>Springer-Verlag London Ltd., part of Springer Nature 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c347t-20b67e4568eca3bf6bec3f068363df6f4cfd9312ec773bfe7738ad30dbb88c1c3</citedby><cites>FETCH-LOGICAL-c347t-20b67e4568eca3bf6bec3f068363df6f4cfd9312ec773bfe7738ad30dbb88c1c3</cites><orcidid>0000-0002-6161-8838</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00170-020-05513-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00170-020-05513-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Chen, Hao</creatorcontrib><creatorcontrib>Zhao, Ji</creatorcontrib><creatorcontrib>Dai, Yuanxing</creatorcontrib><creatorcontrib>Wang, Zixuan</creatorcontrib><creatorcontrib>Yu, Tianbiao</creatorcontrib><title>Simulation of 3D grinding temperature field by using an improved finite difference method</title><title>International journal of advanced manufacturing technology</title><addtitle>Int J Adv Manuf Technol</addtitle><description>3D grinding temperature field can be simulated by the finite difference method. When the finite difference method is used to calculate the temperature field, the boundary conditions need to be considered. Unfortunately, the difference equations for internal nodes and boundary nodes are not the same. For cuboid computing domains, there are twenty-six types of boundary nodes. This reduces the calculation efficiency to a certain extent. An improved finite difference method for the 3D grinding temperature field was proposed to solve this problem in this paper. By adding auxiliary nodes, the boundary nodes are converted into internal nodes, and the difference equations of the boundary nodes and internal nodes are unified. In this paper, the improved algorithm was used to simulate the 3D grinding temperature field. The temperature distribution characteristics of the grinding temperature field were analyzed. Then, the effects of heat source type, space step size, and convective heat transfer coefficient on the temperature field were studied. The results show that the improved algorithm can well simulate the 3D grinding temperature field. Finally, compared with the original algorithm, the calculation results were completely consistent, and the efficiency is improved by about 20%.</description><subject>Algorithms</subject><subject>Boundary conditions</subject><subject>CAE) and Design</subject><subject>Computer simulation</subject><subject>Computer-Aided Engineering (CAD</subject><subject>Convective heat transfer</subject><subject>Difference equations</subject><subject>Engineering</subject><subject>Finite difference method</subject><subject>Grinding</subject><subject>Heat transfer coefficients</subject><subject>Industrial and Production Engineering</subject><subject>Mathematical analysis</subject><subject>Mechanical Engineering</subject><subject>Media Management</subject><subject>Nodes</subject><subject>Original Article</subject><subject>Simulation</subject><subject>Temperature distribution</subject><subject>Viscosity</subject><issn>0268-3768</issn><issn>1433-3015</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kD1PwzAQhi0EEqXwB5gsMQfsOP7IiMqnVIkBGJisxD4XV41T7ASp_x6XILF1uLvhfd6704vQJSXXlBB5kwihkhSkzMU5ZQU_QjNaMVYwQvkxmpFSqIJJoU7RWUrrjAsq1Ax9vPpu3DSD7wPuHWZ3eBV9sD6s8ADdFmIzjBGw87CxuN3hMe2lJmDfbWP_DTZLwQ-ArXcOIgQDuIPhs7fn6MQ1mwQXf3OO3h_u3xZPxfLl8XlxuywMq-RQlKQVEiouFJiGtU60YJgjQjHBrBOuMs7WjJZgpMwy5K4ay4htW6UMNWyOrqa9-Z-vEdKg1_0YQz6py6omitVCisMUrTmvlOSZKifKxD6lCE5vo--auNOU6H3Qegpa56D1b9B6b2KTKWU4rCD-rz7g-gHUO4C_</recordid><startdate>20200601</startdate><enddate>20200601</enddate><creator>Chen, Hao</creator><creator>Zhao, Ji</creator><creator>Dai, Yuanxing</creator><creator>Wang, Zixuan</creator><creator>Yu, Tianbiao</creator><general>Springer London</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0002-6161-8838</orcidid></search><sort><creationdate>20200601</creationdate><title>Simulation of 3D grinding temperature field by using an improved finite difference method</title><author>Chen, Hao ; Zhao, Ji ; Dai, Yuanxing ; Wang, Zixuan ; Yu, Tianbiao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c347t-20b67e4568eca3bf6bec3f068363df6f4cfd9312ec773bfe7738ad30dbb88c1c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Algorithms</topic><topic>Boundary conditions</topic><topic>CAE) and Design</topic><topic>Computer simulation</topic><topic>Computer-Aided Engineering (CAD</topic><topic>Convective heat transfer</topic><topic>Difference equations</topic><topic>Engineering</topic><topic>Finite difference method</topic><topic>Grinding</topic><topic>Heat transfer coefficients</topic><topic>Industrial and Production Engineering</topic><topic>Mathematical analysis</topic><topic>Mechanical Engineering</topic><topic>Media Management</topic><topic>Nodes</topic><topic>Original Article</topic><topic>Simulation</topic><topic>Temperature distribution</topic><topic>Viscosity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Hao</creatorcontrib><creatorcontrib>Zhao, Ji</creatorcontrib><creatorcontrib>Dai, Yuanxing</creatorcontrib><creatorcontrib>Wang, Zixuan</creatorcontrib><creatorcontrib>Yu, Tianbiao</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>International journal of advanced manufacturing technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Hao</au><au>Zhao, Ji</au><au>Dai, Yuanxing</au><au>Wang, Zixuan</au><au>Yu, Tianbiao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Simulation of 3D grinding temperature field by using an improved finite difference method</atitle><jtitle>International journal of advanced manufacturing technology</jtitle><stitle>Int J Adv Manuf Technol</stitle><date>2020-06-01</date><risdate>2020</risdate><volume>108</volume><issue>11-12</issue><spage>3871</spage><epage>3884</epage><pages>3871-3884</pages><issn>0268-3768</issn><eissn>1433-3015</eissn><abstract>3D grinding temperature field can be simulated by the finite difference method. When the finite difference method is used to calculate the temperature field, the boundary conditions need to be considered. Unfortunately, the difference equations for internal nodes and boundary nodes are not the same. For cuboid computing domains, there are twenty-six types of boundary nodes. This reduces the calculation efficiency to a certain extent. An improved finite difference method for the 3D grinding temperature field was proposed to solve this problem in this paper. By adding auxiliary nodes, the boundary nodes are converted into internal nodes, and the difference equations of the boundary nodes and internal nodes are unified. In this paper, the improved algorithm was used to simulate the 3D grinding temperature field. The temperature distribution characteristics of the grinding temperature field were analyzed. Then, the effects of heat source type, space step size, and convective heat transfer coefficient on the temperature field were studied. The results show that the improved algorithm can well simulate the 3D grinding temperature field. Finally, compared with the original algorithm, the calculation results were completely consistent, and the efficiency is improved by about 20%.</abstract><cop>London</cop><pub>Springer London</pub><doi>10.1007/s00170-020-05513-5</doi><tpages>14</tpages><orcidid>https://orcid.org/0000-0002-6161-8838</orcidid></addata></record> |
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| subjects | Algorithms Boundary conditions CAE) and Design Computer simulation Computer-Aided Engineering (CAD Convective heat transfer Difference equations Engineering Finite difference method Grinding Heat transfer coefficients Industrial and Production Engineering Mathematical analysis Mechanical Engineering Media Management Nodes Original Article Simulation Temperature distribution Viscosity |
| title | Simulation of 3D grinding temperature field by using an improved finite difference method |
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