Evaluation of Interpolation Scheme Alternatives and Variation of the Number of Slave Cells in a Cut-Cell Methodology
The present work determines numerical solutions applied to flow problems in a cut-cell framework, introducing and evaluating two interpolation alternatives for the treatment of the convective terms and the effect of the variation of the number of slave cells generated near the solid interfaces. Usin...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/6/895 |
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| author | Luis Henríquez-Vargas Francisco Angel Lawrence Lackey Pablo Donoso-García |
| author_facet | Luis Henríquez-Vargas Francisco Angel Lawrence Lackey Pablo Donoso-García |
| author_sort | Luis Henríquez-Vargas |
| collection | DOAJ |
| description | The present work determines numerical solutions applied to flow problems in a cut-cell framework, introducing and evaluating two interpolation alternatives for the treatment of the convective terms and the effect of the variation of the number of slave cells generated near the solid interfaces. Using the upwind, QUICK and WAHYD (TVD) schemes, three benchmark cases were studied in the laminar regime, namely, flow between concentric cylindrical walls, flow in an inclined channel and flow around a cylinder. The numerical results obtained were favorable for the proposed interpolation methodology that prevents velocity over/under-estimations on the finite control volume faces, observing a tendency to produce smaller errors and mid-to-high computational efficiencies when coupled with a smaller number of slave cells generated at the boundaries. Although the magnitude of the errors found were small, improvements are of more significance for quantities that depend on gradient estimations at surfaces. |
| first_indexed | 2024-03-09T13:26:44Z |
| format | Article |
| id | doaj.art-ddc8e87c98db441fa5d59033dc6831e5 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T13:26:44Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ddc8e87c98db441fa5d59033dc6831e52023-11-30T21:23:40ZengMDPI AGMathematics2227-73902022-03-0110689510.3390/math10060895Evaluation of Interpolation Scheme Alternatives and Variation of the Number of Slave Cells in a Cut-Cell MethodologyLuis Henríquez-Vargas0Francisco Angel1Lawrence Lackey2Pablo Donoso-García3Departamento de Ingeniería Química, Universidad de Santiago de Chile, Santiago 9170022, ChileDepartamento de Ingeniería Química, Universidad de Santiago de Chile, Santiago 9170022, ChileDepartamento de Ingeniería Química, Universidad de Santiago de Chile, Santiago 9170022, ChileDepartamento de Ingeniería Química, Universidad de Santiago de Chile, Santiago 9170022, ChileThe present work determines numerical solutions applied to flow problems in a cut-cell framework, introducing and evaluating two interpolation alternatives for the treatment of the convective terms and the effect of the variation of the number of slave cells generated near the solid interfaces. Using the upwind, QUICK and WAHYD (TVD) schemes, three benchmark cases were studied in the laminar regime, namely, flow between concentric cylindrical walls, flow in an inclined channel and flow around a cylinder. The numerical results obtained were favorable for the proposed interpolation methodology that prevents velocity over/under-estimations on the finite control volume faces, observing a tendency to produce smaller errors and mid-to-high computational efficiencies when coupled with a smaller number of slave cells generated at the boundaries. Although the magnitude of the errors found were small, improvements are of more significance for quantities that depend on gradient estimations at surfaces.https://www.mdpi.com/2227-7390/10/6/895interpolation schemecut cellimmersed solidNavier–Stokesnumerical solution |
| spellingShingle | Luis Henríquez-Vargas Francisco Angel Lawrence Lackey Pablo Donoso-García Evaluation of Interpolation Scheme Alternatives and Variation of the Number of Slave Cells in a Cut-Cell Methodology Mathematics interpolation scheme cut cell immersed solid Navier–Stokes numerical solution |
| title | Evaluation of Interpolation Scheme Alternatives and Variation of the Number of Slave Cells in a Cut-Cell Methodology |
| title_full | Evaluation of Interpolation Scheme Alternatives and Variation of the Number of Slave Cells in a Cut-Cell Methodology |
| title_fullStr | Evaluation of Interpolation Scheme Alternatives and Variation of the Number of Slave Cells in a Cut-Cell Methodology |
| title_full_unstemmed | Evaluation of Interpolation Scheme Alternatives and Variation of the Number of Slave Cells in a Cut-Cell Methodology |
| title_short | Evaluation of Interpolation Scheme Alternatives and Variation of the Number of Slave Cells in a Cut-Cell Methodology |
| title_sort | evaluation of interpolation scheme alternatives and variation of the number of slave cells in a cut cell methodology |
| topic | interpolation scheme cut cell immersed solid Navier–Stokes numerical solution |
| url | https://www.mdpi.com/2227-7390/10/6/895 |
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