A note on two upwind strategies for RBF-based grid-free schemes to solve steady convection-diffusion equations
In this paper, two radial basis function (RBF)‐based local grid‐free upwind schemes have been discussed for convection–diffusion equations. The schemes have been validated over some convection–diffusion problems with sharp boundary layers. It is found that one of the upwind schemes realizes the boun...
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| Veröffentlicht in: | International journal for numerical methods in fluids 2009-11, Vol.61 (9), p.1053-1062 |
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| container_end_page | 1062 |
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| container_issue | 9 |
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| container_title | International journal for numerical methods in fluids |
| container_volume | 61 |
| creator | Sanyasiraju, Y. V. S. S. Chandhini, G. |
| description | In this paper, two radial basis function (RBF)‐based local grid‐free upwind schemes have been discussed for convection–diffusion equations. The schemes have been validated over some convection–diffusion problems with sharp boundary layers. It is found that one of the upwind schemes realizes the boundary layers more accurately than the rest. Comparisons with the analytical solutions demonstrate that the local RBF grid‐free upwind schemes based on the exact velocity direction are stable and produce accurate results on domains discretized even with scattered distribution of nodal points. Copyright © 2009 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/fld.1990 |
| format | Article |
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Copyright © 2009 John Wiley & Sons, Ltd.</description><subject>Computational methods in fluid dynamics</subject><subject>convection-diffusion</subject><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>gridfree</subject><subject>multiquadric</subject><subject>numerical</subject><subject>Physics</subject><subject>radial basis function</subject><subject>upwind</subject><issn>0271-2091</issn><issn>1097-0363</issn><issn>1097-0363</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp1kMFuEzEQhi0EEqEg8Qi-ILi4jO1de30sLSmoUZFQEUfL8Y6LYbNO7d2GvD2OEvXGaUb_fPo1-gh5y-GcA4iPYejPuTHwjCw4GM1AKvmcLEBozgQY_pK8KuU3ABjRyQUZL-iYJqRppNMu0Xm7i2NPy5TdhPcRCw0p0--flmztCvb0PseehYxIi_-Fm3qfEi1peKzBhK7fU5_GR_RTTCPrYwhzqRvFh9kdovKavAhuKPjmNM_Ij-Xnu8svbPXt-uvlxYp5qVpgplO9aoND5YwRDuv3TScApTKyWTfgZdNprr3XKFojVbfmsu-4b5RHLRonz8j7Y-82p4cZy2Q3sXgcBjdimovttGk64Lqt5Icj6XMqJWOw2xw3Lu8tB3swaqtRezBa0XenUle8G0J2o4_liRdVbweyqRw7crs44P6_fXa5ujr1nvhYHf594l3-Y5WWurU_b6-tuLu5ArgV9kb-A6WVkxo</recordid><startdate>20091130</startdate><enddate>20091130</enddate><creator>Sanyasiraju, Y. 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S. ; Chandhini, G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3650-986d65fae6a992ae0274820e36934b40c348717cc7e259368b13d81c46ce724a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Computational methods in fluid dynamics</topic><topic>convection-diffusion</topic><topic>Exact sciences and technology</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>gridfree</topic><topic>multiquadric</topic><topic>numerical</topic><topic>Physics</topic><topic>radial basis function</topic><topic>upwind</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sanyasiraju, Y. V. S. 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Fluids</addtitle><date>2009-11-30</date><risdate>2009</risdate><volume>61</volume><issue>9</issue><spage>1053</spage><epage>1062</epage><pages>1053-1062</pages><issn>0271-2091</issn><issn>1097-0363</issn><eissn>1097-0363</eissn><coden>IJNFDW</coden><abstract>In this paper, two radial basis function (RBF)‐based local grid‐free upwind schemes have been discussed for convection–diffusion equations. The schemes have been validated over some convection–diffusion problems with sharp boundary layers. It is found that one of the upwind schemes realizes the boundary layers more accurately than the rest. Comparisons with the analytical solutions demonstrate that the local RBF grid‐free upwind schemes based on the exact velocity direction are stable and produce accurate results on domains discretized even with scattered distribution of nodal points. 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| subjects | Computational methods in fluid dynamics convection-diffusion Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) gridfree multiquadric numerical Physics radial basis function upwind |
| title | A note on two upwind strategies for RBF-based grid-free schemes to solve steady convection-diffusion equations |
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