Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach
SUMMARY With the aim of accurately modelling free‐surface flow of two immiscible fluids, this study presents the development of a new volume‐of‐fluid free‐surface capturing formulation. By building on existing volume‐of‐fluid approaches, the new formulation combines a blended higher resolution schem...
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| Veröffentlicht in: | International journal for numerical methods in fluids 2013-02, Vol.71 (6), p.788-804 |
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| container_title | International journal for numerical methods in fluids |
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| creator | Heyns, J. A. Malan, A. G. Harms, T. M. Oxtoby, O. F. |
| description | SUMMARY
With the aim of accurately modelling free‐surface flow of two immiscible fluids, this study presents the development of a new volume‐of‐fluid free‐surface capturing formulation. By building on existing volume‐of‐fluid approaches, the new formulation combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume‐of‐fluid equation. This reduces the numerical smearing of the interface associated with explicit higher resolution schemes while limiting the contribution of the artificial compressive term to ensure the integrity of the interface shape is maintained. Furthermore, the computational efficiency of the the higher resolution scheme is improved through the reformulation of the normalised variable approach and the implementation of a new higher resolution blending function. The volume‐of‐fluid equation is discretised via an unstructured vertex‐centred finite volume method and solved via a Jacobian‐type dual time‐stepping approach. Copyright © 2012 John Wiley & Sons, Ltd.
This study presents the development of a new volume‐of‐fluid free‐surface capturing formulation, which combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume‐of‐fluid equation. The formulation reduces numerical smearing of the interface associated with higher resolution schemes at higher Courant numbers, while maintaining the integrity of the interface shape. |
| doi_str_mv | 10.1002/fld.3694 |
| format | Article |
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With the aim of accurately modelling free‐surface flow of two immiscible fluids, this study presents the development of a new volume‐of‐fluid free‐surface capturing formulation. By building on existing volume‐of‐fluid approaches, the new formulation combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume‐of‐fluid equation. This reduces the numerical smearing of the interface associated with explicit higher resolution schemes while limiting the contribution of the artificial compressive term to ensure the integrity of the interface shape is maintained. Furthermore, the computational efficiency of the the higher resolution scheme is improved through the reformulation of the normalised variable approach and the implementation of a new higher resolution blending function. The volume‐of‐fluid equation is discretised via an unstructured vertex‐centred finite volume method and solved via a Jacobian‐type dual time‐stepping approach. Copyright © 2012 John Wiley & Sons, Ltd.
This study presents the development of a new volume‐of‐fluid free‐surface capturing formulation, which combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume‐of‐fluid equation. The formulation reduces numerical smearing of the interface associated with higher resolution schemes at higher Courant numbers, while maintaining the integrity of the interface shape.</description><identifier>ISSN: 0271-2091</identifier><identifier>EISSN: 1097-0363</identifier><identifier>DOI: 10.1002/fld.3694</identifier><identifier>CODEN: IJNFDW</identifier><language>eng</language><publisher>Bognor Regis: Blackwell Publishing Ltd</publisher><subject>artificial compressive term ; Blended ; Computational fluid dynamics ; Fluid flow ; Fluids ; higher resolution schemes ; Mathematical analysis ; Mathematical models ; Modelling ; surface capturing ; volume-of-fluid</subject><ispartof>International journal for numerical methods in fluids, 2013-02, Vol.71 (6), p.788-804</ispartof><rights>Copyright © 2012 John Wiley & Sons, Ltd.</rights><rights>Copyright © 2013 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3644-2adb90f5493afd30ccdd2227a4a87b0fd5b278a458dd9474b5150a399a4c03c03</citedby><cites>FETCH-LOGICAL-c3644-2adb90f5493afd30ccdd2227a4a87b0fd5b278a458dd9474b5150a399a4c03c03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Ffld.3694$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Ffld.3694$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Heyns, J. A.</creatorcontrib><creatorcontrib>Malan, A. G.</creatorcontrib><creatorcontrib>Harms, T. M.</creatorcontrib><creatorcontrib>Oxtoby, O. F.</creatorcontrib><title>Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach</title><title>International journal for numerical methods in fluids</title><addtitle>Int. J. Numer. Meth. Fluids</addtitle><description>SUMMARY
With the aim of accurately modelling free‐surface flow of two immiscible fluids, this study presents the development of a new volume‐of‐fluid free‐surface capturing formulation. By building on existing volume‐of‐fluid approaches, the new formulation combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume‐of‐fluid equation. This reduces the numerical smearing of the interface associated with explicit higher resolution schemes while limiting the contribution of the artificial compressive term to ensure the integrity of the interface shape is maintained. Furthermore, the computational efficiency of the the higher resolution scheme is improved through the reformulation of the normalised variable approach and the implementation of a new higher resolution blending function. The volume‐of‐fluid equation is discretised via an unstructured vertex‐centred finite volume method and solved via a Jacobian‐type dual time‐stepping approach. Copyright © 2012 John Wiley & Sons, Ltd.
This study presents the development of a new volume‐of‐fluid free‐surface capturing formulation, which combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume‐of‐fluid equation. The formulation reduces numerical smearing of the interface associated with higher resolution schemes at higher Courant numbers, while maintaining the integrity of the interface shape.</description><subject>artificial compressive term</subject><subject>Blended</subject><subject>Computational fluid dynamics</subject><subject>Fluid flow</subject><subject>Fluids</subject><subject>higher resolution schemes</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Modelling</subject><subject>surface capturing</subject><subject>volume-of-fluid</subject><issn>0271-2091</issn><issn>1097-0363</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp1kVtrFDEUx4NYcG0FP0LAF19Sc51MHrXbroXFUlF8DJlc7NTMZEwmW_fNj-5s6wUF4cA58P-dC-cPwHOCTwnG9FWI7pQ1ij8CK4KVRJg17DFYYSoJoliRJ-BpKbcYY0VbtgLf137nY5oGP84wBWigTcOUfSn9zsNSczDWQ2umueZ-_AxDykONZu7TeKjhkJyP8V7J3qNfDSGmO9jtYS0Hab7xcJdiHTxKAYVYewfNNOVk7M0JOAomFv_sZz4GHy_OP5y9RdurzeXZ6y2yrOEcUeM6hYPgipngGLbWOUqpNNy0ssPBiY7K1nDROqe45J0gAhumlOEWsyWOwcuHucvar9WXWQ99scvtZvSpFk04U5JKwdsFffEPeptqHpfrNFne2FKGifgz0OZUSvZBT7kfTN5rgvXBCr1YoQ9WLCh6QO_66Pf_5fTFdv0335fZf_vNm_xFN5JJoT-92-hNw67F-v0bLdkP4uia5g</recordid><startdate>20130228</startdate><enddate>20130228</enddate><creator>Heyns, J. A.</creator><creator>Malan, A. G.</creator><creator>Harms, T. M.</creator><creator>Oxtoby, O. F.</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QH</scope><scope>7SC</scope><scope>7TB</scope><scope>7U5</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>F1W</scope><scope>FR3</scope><scope>H8D</scope><scope>H96</scope><scope>JQ2</scope><scope>KR7</scope><scope>L.G</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20130228</creationdate><title>Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach</title><author>Heyns, J. A. ; Malan, A. G. ; Harms, T. M. ; Oxtoby, O. F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3644-2adb90f5493afd30ccdd2227a4a87b0fd5b278a458dd9474b5150a399a4c03c03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>artificial compressive term</topic><topic>Blended</topic><topic>Computational fluid dynamics</topic><topic>Fluid flow</topic><topic>Fluids</topic><topic>higher resolution schemes</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Modelling</topic><topic>surface capturing</topic><topic>volume-of-fluid</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Heyns, J. A.</creatorcontrib><creatorcontrib>Malan, A. G.</creatorcontrib><creatorcontrib>Harms, T. M.</creatorcontrib><creatorcontrib>Oxtoby, O. 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A.</au><au>Malan, A. G.</au><au>Harms, T. M.</au><au>Oxtoby, O. F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach</atitle><jtitle>International journal for numerical methods in fluids</jtitle><addtitle>Int. J. Numer. Meth. Fluids</addtitle><date>2013-02-28</date><risdate>2013</risdate><volume>71</volume><issue>6</issue><spage>788</spage><epage>804</epage><pages>788-804</pages><issn>0271-2091</issn><eissn>1097-0363</eissn><coden>IJNFDW</coden><abstract>SUMMARY
With the aim of accurately modelling free‐surface flow of two immiscible fluids, this study presents the development of a new volume‐of‐fluid free‐surface capturing formulation. By building on existing volume‐of‐fluid approaches, the new formulation combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume‐of‐fluid equation. This reduces the numerical smearing of the interface associated with explicit higher resolution schemes while limiting the contribution of the artificial compressive term to ensure the integrity of the interface shape is maintained. Furthermore, the computational efficiency of the the higher resolution scheme is improved through the reformulation of the normalised variable approach and the implementation of a new higher resolution blending function. The volume‐of‐fluid equation is discretised via an unstructured vertex‐centred finite volume method and solved via a Jacobian‐type dual time‐stepping approach. Copyright © 2012 John Wiley & Sons, Ltd.
This study presents the development of a new volume‐of‐fluid free‐surface capturing formulation, which combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume‐of‐fluid equation. The formulation reduces numerical smearing of the interface associated with higher resolution schemes at higher Courant numbers, while maintaining the integrity of the interface shape.</abstract><cop>Bognor Regis</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1002/fld.3694</doi><tpages>17</tpages></addata></record> |
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| language | eng |
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| source | Wiley Journals |
| subjects | artificial compressive term Blended Computational fluid dynamics Fluid flow Fluids higher resolution schemes Mathematical analysis Mathematical models Modelling surface capturing volume-of-fluid |
| title | Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach |
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