Simulation of Arbitrarily‐shaped Magnetic Objects
We propose a novel method for simulating rigid magnets in a stable way. It is based on analytic solutions of the magnetic vector potential and flux density, which make the magnetic forces and torques calculated using them seldom diverge. Therefore, our magnet simulations remain stable even though ma...
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Veröffentlicht in: | Computer graphics forum 2020-10, Vol.39 (7), p.119-130 |
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description | We propose a novel method for simulating rigid magnets in a stable way. It is based on analytic solutions of the magnetic vector potential and flux density, which make the magnetic forces and torques calculated using them seldom diverge. Therefore, our magnet simulations remain stable even though magnets are in close proximity or penetrate each other. Thanks to the stability, our method can simulate magnets of any shapes. Another strength of our method is that the time complexities for computing the magnetic forces and torques are significantly reduced, compared to the previous methods. Our method is easily integrated with classic rigid‐body simulators. The experiment results presented in this paper prove the stability and efficiency of our method. |
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It is based on analytic solutions of the magnetic vector potential and flux density, which make the magnetic forces and torques calculated using them seldom diverge. Therefore, our magnet simulations remain stable even though magnets are in close proximity or penetrate each other. Thanks to the stability, our method can simulate magnets of any shapes. Another strength of our method is that the time complexities for computing the magnetic forces and torques are significantly reduced, compared to the previous methods. Our method is easily integrated with classic rigid‐body simulators. The experiment results presented in this paper prove the stability and efficiency of our method.</description><identifier>ISSN: 0167-7055</identifier><identifier>EISSN: 1467-8659</identifier><identifier>DOI: 10.1111/cgf.14131</identifier><language>eng</language><publisher>Oxford: Blackwell Publishing Ltd</publisher><subject>CCS Concepts ; Computing methodologies → Physical simulation ; Exact solutions ; Flux density ; Magnetic flux ; Magnetic vector potentials ; Magnets ; Simulation ; Simulators ; Stability ; Torque</subject><ispartof>Computer graphics forum, 2020-10, Vol.39 (7), p.119-130</ispartof><rights>2020 The Author(s) Computer Graphics Forum © 2020 The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd.</rights><rights>2020 The Eurographics Association and John Wiley & Sons Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2971-35f14fd1d6f7cf443bfaab3741818faf9abcdf5c505546867f192e54c953342c3</citedby><cites>FETCH-LOGICAL-c2971-35f14fd1d6f7cf443bfaab3741818faf9abcdf5c505546867f192e54c953342c3</cites><orcidid>0000-0003-4178-772X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1111%2Fcgf.14131$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1111%2Fcgf.14131$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Kim, Seung‐wook</creatorcontrib><creatorcontrib>Han, JungHyun</creatorcontrib><title>Simulation of Arbitrarily‐shaped Magnetic Objects</title><title>Computer graphics forum</title><description>We propose a novel method for simulating rigid magnets in a stable way. It is based on analytic solutions of the magnetic vector potential and flux density, which make the magnetic forces and torques calculated using them seldom diverge. Therefore, our magnet simulations remain stable even though magnets are in close proximity or penetrate each other. Thanks to the stability, our method can simulate magnets of any shapes. Another strength of our method is that the time complexities for computing the magnetic forces and torques are significantly reduced, compared to the previous methods. Our method is easily integrated with classic rigid‐body simulators. The experiment results presented in this paper prove the stability and efficiency of our method.</description><subject>CCS Concepts</subject><subject>Computing methodologies → Physical simulation</subject><subject>Exact solutions</subject><subject>Flux density</subject><subject>Magnetic flux</subject><subject>Magnetic vector potentials</subject><subject>Magnets</subject><subject>Simulation</subject><subject>Simulators</subject><subject>Stability</subject><subject>Torque</subject><issn>0167-7055</issn><issn>1467-8659</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp1kL9OwzAQhy0EEqEw8AaRmBjS-uJ_yVhVtCAVdQBmy3Hs4ihtgp0KdeMReEaeBENYueVu-O7upw-ha8BTiDXTWzsFCgROUAKUi6zgrDxFCYY4C8zYOboIocEYU8FZgsiT2x1aNbhun3Y2nfvKDV551x6_Pj7Dq-pNnT6q7d4MTqebqjF6CJfozKo2mKu_PkEvy7vnxX223qweFvN1pvNSQEaYBWprqLkV2lJKKqtURQSFAgqrbKkqXVumWUxFecGFhTI3jOqSEUJzTSboZrzb--7tYMIgm-7g9_GlzCkntOAEQ6RuR0r7LgRvrOy92yl_lIDljxMZnchfJ5Gdjey7a83xf1AuVstx4xuC82J6</recordid><startdate>202010</startdate><enddate>202010</enddate><creator>Kim, Seung‐wook</creator><creator>Han, JungHyun</creator><general>Blackwell Publishing Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-4178-772X</orcidid></search><sort><creationdate>202010</creationdate><title>Simulation of Arbitrarily‐shaped Magnetic Objects</title><author>Kim, Seung‐wook ; Han, JungHyun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2971-35f14fd1d6f7cf443bfaab3741818faf9abcdf5c505546867f192e54c953342c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>CCS Concepts</topic><topic>Computing methodologies → Physical simulation</topic><topic>Exact solutions</topic><topic>Flux density</topic><topic>Magnetic flux</topic><topic>Magnetic vector potentials</topic><topic>Magnets</topic><topic>Simulation</topic><topic>Simulators</topic><topic>Stability</topic><topic>Torque</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kim, Seung‐wook</creatorcontrib><creatorcontrib>Han, JungHyun</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computer graphics forum</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kim, Seung‐wook</au><au>Han, JungHyun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Simulation of Arbitrarily‐shaped Magnetic Objects</atitle><jtitle>Computer graphics forum</jtitle><date>2020-10</date><risdate>2020</risdate><volume>39</volume><issue>7</issue><spage>119</spage><epage>130</epage><pages>119-130</pages><issn>0167-7055</issn><eissn>1467-8659</eissn><abstract>We propose a novel method for simulating rigid magnets in a stable way. 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subjects | CCS Concepts Computing methodologies → Physical simulation Exact solutions Flux density Magnetic flux Magnetic vector potentials Magnets Simulation Simulators Stability Torque |
title | Simulation of Arbitrarily‐shaped Magnetic Objects |
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