Numerical analysis of three-dimensional acoustic field with background flow using constrained interpolation profile method
Our study group is investigating the acoustic simulation with background flow using the constrained interpolation profile (CIP) method. The CIP method is a type of method of characteristics (MOC) used for time domain numerical analysis. In this study, we examine the calculation method considering ba...
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Veröffentlicht in: | Japanese Journal of Applied Physics 2018-07, Vol.57 (7S1), p.7 |
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creator | Fukuda, Akihiro Okubo, Kan Oshima, Takuya Tsuchiya, Takao Kanamori, Masashi |
description | Our study group is investigating the acoustic simulation with background flow using the constrained interpolation profile (CIP) method. The CIP method is a type of method of characteristics (MOC) used for time domain numerical analysis. In this study, we examine the calculation method considering background flow using the type-C and type-M CIP methods. The type-C CIP method involves the calculation of all advection equations using the cubic Hermite interpolation, whereas the type-M CIP method involves the calculation of advection equations of spatial differential value perpendicular to the propagation direction using linear interpolation. We compare the calculation results with those of other methods and evaluate calculation accuracy, calculation time, and memory cost. Results show that our proposed method maintains high accuracy under various environmental conditions and that the proposed method is superior in terms of calculation time and memory cost. |
doi_str_mv | 10.7567/JJAP.57.07LC09 |
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The CIP method is a type of method of characteristics (MOC) used for time domain numerical analysis. In this study, we examine the calculation method considering background flow using the type-C and type-M CIP methods. The type-C CIP method involves the calculation of all advection equations using the cubic Hermite interpolation, whereas the type-M CIP method involves the calculation of advection equations of spatial differential value perpendicular to the propagation direction using linear interpolation. We compare the calculation results with those of other methods and evaluate calculation accuracy, calculation time, and memory cost. Results show that our proposed method maintains high accuracy under various environmental conditions and that the proposed method is superior in terms of calculation time and memory cost.</description><identifier>ISSN: 0021-4922</identifier><identifier>EISSN: 1347-4065</identifier><identifier>DOI: 10.7567/JJAP.57.07LC09</identifier><identifier>CODEN: JJAPB6</identifier><language>eng</language><publisher>Tokyo: The Japan Society of Applied Physics</publisher><subject>Acoustic simulation ; Advection ; Computer simulation ; Differential equations ; Interpolation ; Mathematical analysis ; Method of characteristics ; Numerical analysis ; Profile method (forecasting) ; Three dimensional analysis ; Time domain analysis</subject><ispartof>Japanese Journal of Applied Physics, 2018-07, Vol.57 (7S1), p.7</ispartof><rights>2018 The Japan Society of Applied Physics</rights><rights>Copyright Japanese Journal of Applied Physics Jul 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c336t-ed75f08e0b8fa0c2c86edad867c4c0afe0dc118c9ef5e2b22647701d422d74f03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.7567/JJAP.57.07LC09/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>314,778,782,27907,27908,53829,53876</link.rule.ids></links><search><creatorcontrib>Fukuda, Akihiro</creatorcontrib><creatorcontrib>Okubo, Kan</creatorcontrib><creatorcontrib>Oshima, Takuya</creatorcontrib><creatorcontrib>Tsuchiya, Takao</creatorcontrib><creatorcontrib>Kanamori, Masashi</creatorcontrib><title>Numerical analysis of three-dimensional acoustic field with background flow using constrained interpolation profile method</title><title>Japanese Journal of Applied Physics</title><addtitle>Jpn. J. Appl. Phys</addtitle><description>Our study group is investigating the acoustic simulation with background flow using the constrained interpolation profile (CIP) method. The CIP method is a type of method of characteristics (MOC) used for time domain numerical analysis. In this study, we examine the calculation method considering background flow using the type-C and type-M CIP methods. The type-C CIP method involves the calculation of all advection equations using the cubic Hermite interpolation, whereas the type-M CIP method involves the calculation of advection equations of spatial differential value perpendicular to the propagation direction using linear interpolation. We compare the calculation results with those of other methods and evaluate calculation accuracy, calculation time, and memory cost. Results show that our proposed method maintains high accuracy under various environmental conditions and that the proposed method is superior in terms of calculation time and memory cost.</description><subject>Acoustic simulation</subject><subject>Advection</subject><subject>Computer simulation</subject><subject>Differential equations</subject><subject>Interpolation</subject><subject>Mathematical analysis</subject><subject>Method of characteristics</subject><subject>Numerical analysis</subject><subject>Profile method (forecasting)</subject><subject>Three dimensional analysis</subject><subject>Time domain analysis</subject><issn>0021-4922</issn><issn>1347-4065</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNqVkE1LAzEQhoMoWKtXzwFvwtYku5tsj6X4VYoK6jmkyaRN3W7WJEupv94tLXj2NAzzzDvMg9A1JSNRcnE3m03eRqUYETGfkvEJGtC8EFlBeHmKBoQwmhVjxs7RRYzrvuVlQQfo56XbQHBa1Vg1qt5FF7G3OK0CQGbcBprofLOfat_F5DS2DmqDty6t8ELpr2XwXWOwrf0Wd9E1S6x9E1NQrgGDXZMgtL5WqU_BbfDW1YA3kFbeXKIzq-oIV8c6RJ8P9x_Tp2z--vg8ncwznec8ZWBEaUkFZFFZRTTTFQejTMWFLjRRFojRlFZ6DLYEtmCMF0IQagrGjCgsyYfo5pDbn__uICa59l3of4qSUS5IL4iznhodKB18jAGsbIPbqLCTlMi9X7n3K0shD377hdvDgvPtX-K_4PVatXtIvNMjKFtj818g5I0z</recordid><startdate>20180701</startdate><enddate>20180701</enddate><creator>Fukuda, Akihiro</creator><creator>Okubo, Kan</creator><creator>Oshima, Takuya</creator><creator>Tsuchiya, Takao</creator><creator>Kanamori, Masashi</creator><general>The Japan Society of Applied Physics</general><general>Japanese Journal of Applied Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20180701</creationdate><title>Numerical analysis of three-dimensional acoustic field with background flow using constrained interpolation profile method</title><author>Fukuda, Akihiro ; Okubo, Kan ; Oshima, Takuya ; Tsuchiya, Takao ; Kanamori, Masashi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c336t-ed75f08e0b8fa0c2c86edad867c4c0afe0dc118c9ef5e2b22647701d422d74f03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Acoustic simulation</topic><topic>Advection</topic><topic>Computer simulation</topic><topic>Differential equations</topic><topic>Interpolation</topic><topic>Mathematical analysis</topic><topic>Method of characteristics</topic><topic>Numerical analysis</topic><topic>Profile method (forecasting)</topic><topic>Three dimensional analysis</topic><topic>Time domain analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fukuda, Akihiro</creatorcontrib><creatorcontrib>Okubo, Kan</creatorcontrib><creatorcontrib>Oshima, Takuya</creatorcontrib><creatorcontrib>Tsuchiya, Takao</creatorcontrib><creatorcontrib>Kanamori, Masashi</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Japanese Journal of Applied Physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fukuda, Akihiro</au><au>Okubo, Kan</au><au>Oshima, Takuya</au><au>Tsuchiya, Takao</au><au>Kanamori, Masashi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical analysis of three-dimensional acoustic field with background flow using constrained interpolation profile method</atitle><jtitle>Japanese Journal of Applied Physics</jtitle><addtitle>Jpn. J. Appl. Phys</addtitle><date>2018-07-01</date><risdate>2018</risdate><volume>57</volume><issue>7S1</issue><spage>7</spage><pages>7-</pages><issn>0021-4922</issn><eissn>1347-4065</eissn><coden>JJAPB6</coden><abstract>Our study group is investigating the acoustic simulation with background flow using the constrained interpolation profile (CIP) method. The CIP method is a type of method of characteristics (MOC) used for time domain numerical analysis. In this study, we examine the calculation method considering background flow using the type-C and type-M CIP methods. The type-C CIP method involves the calculation of all advection equations using the cubic Hermite interpolation, whereas the type-M CIP method involves the calculation of advection equations of spatial differential value perpendicular to the propagation direction using linear interpolation. We compare the calculation results with those of other methods and evaluate calculation accuracy, calculation time, and memory cost. Results show that our proposed method maintains high accuracy under various environmental conditions and that the proposed method is superior in terms of calculation time and memory cost.</abstract><cop>Tokyo</cop><pub>The Japan Society of Applied Physics</pub><doi>10.7567/JJAP.57.07LC09</doi><tpages>8</tpages></addata></record> |
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subjects | Acoustic simulation Advection Computer simulation Differential equations Interpolation Mathematical analysis Method of characteristics Numerical analysis Profile method (forecasting) Three dimensional analysis Time domain analysis |
title | Numerical analysis of three-dimensional acoustic field with background flow using constrained interpolation profile method |
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