A COUPLED PREDICTION SCHEME FOR SOLVING THE NAVIER–STOKES AND CONVECTION-DIFFUSION EQUATIONS
This paper presents a new algorithm for the numerical solution of the Navier–Stokes equations coupled with the convection-diffusion equation. After establishing convergence of the semi-discrete formulation at each time step, we introduce a new iterative scheme based on a projection method called the...
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| Veröffentlicht in: | SIAM journal on numerical analysis 2014-01, Vol.52 (5), p.2415-2439 |
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| container_title | SIAM journal on numerical analysis |
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| creator | DETEIX, J. JENDOUBI, A. YAKOUBI, D. |
| description | This paper presents a new algorithm for the numerical solution of the Navier–Stokes equations coupled with the convection-diffusion equation. After establishing convergence of the semi-discrete formulation at each time step, we introduce a new iterative scheme based on a projection method called the coupled prediction scheme. We show that even though the predicted temperature is advected by a velocity prediction which is not necessarily divergence free, the theoretical time accuracy of the global scheme is conserved. From a numerical point of view, this new approach gives a faster and more efficient algorithm compared to the usual fixed-point approaches. |
| doi_str_mv | 10.1137/130942516 |
| format | Article |
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From a numerical point of view, this new approach gives a faster and more efficient algorithm compared to the usual fixed-point approaches.</description><subject>Algorithms</subject><subject>Approximation</subject><subject>Conductivity</subject><subject>Convection</subject><subject>Convection diffusion equation</subject><subject>Convergence</subject><subject>Finite element method</subject><subject>Fluid flow</subject><subject>Free convection</subject><subject>Heat transfer</subject><subject>Joining</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Navier Stokes equation</subject><subject>Projection</subject><subject>Rayleigh number</subject><subject>Viscosity</subject><issn>0036-1429</issn><issn>1095-7170</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNo9kMFOg0AQQDdGE2v14AeY7FEP6M4uu8CRwNISEWqBHiUUd5M2rbRse_DmP_iHfonUmp4mM3lvDg-hWyCPAMx5AkY8m3IQZ2gAxOOWAw45RwNCmLDApt4lujJmSfrdBTZAbz4OsnKSyBBPpjKMgyLOUpwHY_kicZRNcZ4lszgd4WIscerPYjn9-frOi-xZ5thPw95OZ_LPssI4isr84MvX0j-c8mt0oeuVUTf_c4jKSBbB2EqyURz4idVQ195ZLhBXCcUFqUFxW8ydpoG64aTWLnAxbxjMXe1xpil1NbGpeHeorjXhzBaaARui--PfTddu98rsqvXCNGq1qj9UuzcVCOoxhwDnPfpwRJuuNaZTutp0i3XdfVZAqkPD6tSwZ--O7NLs2u4EUpsDpX3CXzA1ZJs</recordid><startdate>20140101</startdate><enddate>20140101</enddate><creator>DETEIX, J.</creator><creator>JENDOUBI, A.</creator><creator>YAKOUBI, D.</creator><general>Society for Industrial and Applied Mathematics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20140101</creationdate><title>A COUPLED PREDICTION SCHEME FOR SOLVING THE NAVIER–STOKES AND CONVECTION-DIFFUSION EQUATIONS</title><author>DETEIX, J. ; JENDOUBI, A. ; YAKOUBI, D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c284t-8108e6e560a1e546b7cc1ac50af8156bc31b8f953f228f0426d72faf05346f313</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Algorithms</topic><topic>Approximation</topic><topic>Conductivity</topic><topic>Convection</topic><topic>Convection diffusion equation</topic><topic>Convergence</topic><topic>Finite element method</topic><topic>Fluid flow</topic><topic>Free convection</topic><topic>Heat transfer</topic><topic>Joining</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Navier Stokes equation</topic><topic>Projection</topic><topic>Rayleigh number</topic><topic>Viscosity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>DETEIX, J.</creatorcontrib><creatorcontrib>JENDOUBI, A.</creatorcontrib><creatorcontrib>YAKOUBI, D.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace 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>SIAM journal on numerical analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>DETEIX, J.</au><au>JENDOUBI, A.</au><au>YAKOUBI, D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A COUPLED PREDICTION SCHEME FOR SOLVING THE NAVIER–STOKES AND CONVECTION-DIFFUSION EQUATIONS</atitle><jtitle>SIAM journal on numerical analysis</jtitle><date>2014-01-01</date><risdate>2014</risdate><volume>52</volume><issue>5</issue><spage>2415</spage><epage>2439</epage><pages>2415-2439</pages><issn>0036-1429</issn><eissn>1095-7170</eissn><abstract>This paper presents a new algorithm for the numerical solution of the Navier–Stokes equations coupled with the convection-diffusion equation. 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| ispartof | SIAM journal on numerical analysis, 2014-01, Vol.52 (5), p.2415-2439 |
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| language | eng |
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| source | SIAM Journals Online; JSTOR Mathematics & Statistics; Jstor Complete Legacy |
| subjects | Algorithms Approximation Conductivity Convection Convection diffusion equation Convergence Finite element method Fluid flow Free convection Heat transfer Joining Mathematical analysis Mathematical models Navier Stokes equation Projection Rayleigh number Viscosity |
| title | A COUPLED PREDICTION SCHEME FOR SOLVING THE NAVIER–STOKES AND CONVECTION-DIFFUSION EQUATIONS |
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