An explicit time integration scheme for the analysis of wave propagations
•A new explicit time integration method for the solution of wave propagations is presented.•The method has small solution errors in the frequency range that can spatially be represented and cuts out high spurious frequency modes.•The scheme is second-order accurate for systems with and without dampi...
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| Veröffentlicht in: | Computers & structures 2013-12, Vol.129, p.178-193 |
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| container_title | Computers & structures |
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| creator | Noh, Gunwoo Bathe, Klaus-Jürgen |
| description | •A new explicit time integration method for the solution of wave propagations is presented.•The method has small solution errors in the frequency range that can spatially be represented and cuts out high spurious frequency modes.•The scheme is second-order accurate for systems with and without damping and is only slightly more expensive to use than the central difference method.•The stability, accuracy and numerical dispersion are analyzed, and example solutions are given.
A new explicit time integration scheme is presented for the solution of wave propagation problems. The method is designed to have small solution errors in the frequency range that can spatially be represented and to cut out high spurious frequencies. The proposed explicit scheme is second-order accurate for systems with and without damping, even when used with a non-diagonal damping matrix. The stability, accuracy and numerical dispersion are analyzed, and solutions to problems are given that illustrate the performance of the scheme. |
| doi_str_mv | 10.1016/j.compstruc.2013.06.007 |
| format | Article |
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A new explicit time integration scheme is presented for the solution of wave propagation problems. The method is designed to have small solution errors in the frequency range that can spatially be represented and to cut out high spurious frequencies. The proposed explicit scheme is second-order accurate for systems with and without damping, even when used with a non-diagonal damping matrix. The stability, accuracy and numerical dispersion are analyzed, and solutions to problems are given that illustrate the performance of the scheme.</description><identifier>ISSN: 0045-7949</identifier><identifier>EISSN: 1879-2243</identifier><identifier>DOI: 10.1016/j.compstruc.2013.06.007</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Bathe implicit time integration ; Computer simulation ; Damping ; Desirable numerical dissipation ; Dispersions ; Explicit time integration ; Finite elements ; Frequency ranges ; Mathematical models ; Numerical dispersion ; Stability ; Time integration ; Wave propagation</subject><ispartof>Computers & structures, 2013-12, Vol.129, p.178-193</ispartof><rights>2013 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c381t-e452310217cab1fb430e85d955ba1c58956c7cea709366404228f049235a7de43</citedby><cites>FETCH-LOGICAL-c381t-e452310217cab1fb430e85d955ba1c58956c7cea709366404228f049235a7de43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.compstruc.2013.06.007$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Noh, Gunwoo</creatorcontrib><creatorcontrib>Bathe, Klaus-Jürgen</creatorcontrib><title>An explicit time integration scheme for the analysis of wave propagations</title><title>Computers & structures</title><description>•A new explicit time integration method for the solution of wave propagations is presented.•The method has small solution errors in the frequency range that can spatially be represented and cuts out high spurious frequency modes.•The scheme is second-order accurate for systems with and without damping and is only slightly more expensive to use than the central difference method.•The stability, accuracy and numerical dispersion are analyzed, and example solutions are given.
A new explicit time integration scheme is presented for the solution of wave propagation problems. The method is designed to have small solution errors in the frequency range that can spatially be represented and to cut out high spurious frequencies. The proposed explicit scheme is second-order accurate for systems with and without damping, even when used with a non-diagonal damping matrix. The stability, accuracy and numerical dispersion are analyzed, and solutions to problems are given that illustrate the performance of the scheme.</description><subject>Bathe implicit time integration</subject><subject>Computer simulation</subject><subject>Damping</subject><subject>Desirable numerical dissipation</subject><subject>Dispersions</subject><subject>Explicit time integration</subject><subject>Finite elements</subject><subject>Frequency ranges</subject><subject>Mathematical models</subject><subject>Numerical dispersion</subject><subject>Stability</subject><subject>Time integration</subject><subject>Wave propagation</subject><issn>0045-7949</issn><issn>1879-2243</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFkE1PwzAMhiMEEmPwG8iRS4vTfLXHaeJj0iQucI6yzN0ydW1JssH-PR1DXHeyZD1-bT-E3DPIGTD1uMldt-1jCjuXF8B4DioH0BdkxEpdZUUh-CUZAQiZ6UpU1-Qmxg0AKAEwIrNJS_G7b7zziSa_RerbhKtgk-9aGt0ah1bdBZrWSG1rm0P0kXY1_bJ7pH3oerv6ZeMtuaptE_Hur47Jx_PT-_Q1m7-9zKaTeeZ4yVKGQhacQcG0swtWLwQHLOWyknJhmZNlJZXTDq2GiqvhRlEUZQ2iKri0eomCj8nDKXdY_rnDmMzWR4dNY1vsdtEweYwvFcB5VGgpFVOcDag-oS50MQasTR_81oaDYWCOns3G_Hs2R88GlBk8D5OT0yQOT-89BhOdx9bh0gd0ySw7fzbjB4qrii4</recordid><startdate>20131201</startdate><enddate>20131201</enddate><creator>Noh, Gunwoo</creator><creator>Bathe, Klaus-Jürgen</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20131201</creationdate><title>An explicit time integration scheme for the analysis of wave propagations</title><author>Noh, Gunwoo ; Bathe, Klaus-Jürgen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c381t-e452310217cab1fb430e85d955ba1c58956c7cea709366404228f049235a7de43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Bathe implicit time integration</topic><topic>Computer simulation</topic><topic>Damping</topic><topic>Desirable numerical dissipation</topic><topic>Dispersions</topic><topic>Explicit time integration</topic><topic>Finite elements</topic><topic>Frequency ranges</topic><topic>Mathematical models</topic><topic>Numerical dispersion</topic><topic>Stability</topic><topic>Time integration</topic><topic>Wave propagation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Noh, Gunwoo</creatorcontrib><creatorcontrib>Bathe, Klaus-Jürgen</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</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>Computers & structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Noh, Gunwoo</au><au>Bathe, Klaus-Jürgen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An explicit time integration scheme for the analysis of wave propagations</atitle><jtitle>Computers & structures</jtitle><date>2013-12-01</date><risdate>2013</risdate><volume>129</volume><spage>178</spage><epage>193</epage><pages>178-193</pages><issn>0045-7949</issn><eissn>1879-2243</eissn><abstract>•A new explicit time integration method for the solution of wave propagations is presented.•The method has small solution errors in the frequency range that can spatially be represented and cuts out high spurious frequency modes.•The scheme is second-order accurate for systems with and without damping and is only slightly more expensive to use than the central difference method.•The stability, accuracy and numerical dispersion are analyzed, and example solutions are given.
A new explicit time integration scheme is presented for the solution of wave propagation problems. The method is designed to have small solution errors in the frequency range that can spatially be represented and to cut out high spurious frequencies. The proposed explicit scheme is second-order accurate for systems with and without damping, even when used with a non-diagonal damping matrix. The stability, accuracy and numerical dispersion are analyzed, and solutions to problems are given that illustrate the performance of the scheme.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.compstruc.2013.06.007</doi><tpages>16</tpages></addata></record> |
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| ispartof | Computers & structures, 2013-12, Vol.129, p.178-193 |
| issn | 0045-7949 1879-2243 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Bathe implicit time integration Computer simulation Damping Desirable numerical dissipation Dispersions Explicit time integration Finite elements Frequency ranges Mathematical models Numerical dispersion Stability Time integration Wave propagation |
| title | An explicit time integration scheme for the analysis of wave propagations |
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