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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2003
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/math/0309030 |
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| _version_ | 1866915560185397248 |
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| author | Ladipo, Kehinde O. Glowinski, Roland Pan, Tsorng-Whay |
| author_facet | Ladipo, Kehinde O. Glowinski, Roland Pan, Tsorng-Whay |
| contents | This article discusses computational techniques for simulating natural convection in three-dimensional domains using finite element methods with tetrahedral elements. These techniques form a new numerical procedure for this kind of problems. In this procedure, the treatment of advection by a wave equation approach is extended to three-dimensional unstructured meshes with tetrahedra.
Numerical results of natural convection of an incompressible Newtonian fluid in a cubical enclosure at Rayleigh numbers in the range $10^3$ to $10 ^6$ are obtained and they are in good agreement with those in literature obtained by other methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0309030 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | Computational Techniques for Simulating Natural Convection in Three-Dimensional Enclosures with Tetrahedral Finite Elements Ladipo, Kehinde O. Glowinski, Roland Pan, Tsorng-Whay Numerical Analysis This article discusses computational techniques for simulating natural convection in three-dimensional domains using finite element methods with tetrahedral elements. These techniques form a new numerical procedure for this kind of problems. In this procedure, the treatment of advection by a wave equation approach is extended to three-dimensional unstructured meshes with tetrahedra. Numerical results of natural convection of an incompressible Newtonian fluid in a cubical enclosure at Rayleigh numbers in the range $10^3$ to $10 ^6$ are obtained and they are in good agreement with those in literature obtained by other methods. |
| title | Computational Techniques for Simulating Natural Convection in Three-Dimensional Enclosures with Tetrahedral Finite Elements |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/math/0309030 |