Finite elements for CFD—How does the theory compare?
| Autor: | A. J. Baker, D. J. Chaffin, Joe Iannelli, Subrata Roy |
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| Rok vydání: | 1999 |
| Předmět: |
Discretization
business.industry Applied Mathematics Mechanical Engineering Computational Mechanics Computational fluid dynamics Stencil Finite element method Computer Science Applications symbols.namesake Monotone polygon Mechanics of Materials Calculus Taylor series symbols Applied mathematics business Galerkin method Numerical stability Mathematics |
| Zdroj: | International Journal for Numerical Methods in Fluids. 31:345-358 |
| ISSN: | 1097-0363 0271-2091 |
| DOI: | 10.1002/(sici)1097-0363(19990915)31:1<345::aid-fld974>3.0.co;2-l |
| Popis: | SUMMARY The quest continues for accurate and efficient computational fluid dynamics (CFD) algorithms for convection-dominated flows. The boundary value ‘optimal’ Galerkin weak statement invariably requires manipulation to handle the disruptive character introduced by the discretized first-order convection term. An incredible variety of methodologies have been derived and examined to address this issue, in particular, seeking achievement of monotone discrete solutions in an efficient implementation. The UT CFD research group has participated in this search, leading to the development of consistent, encompassing theoretical statements exhibiting quality performance, including generalized Taylor series (Lax‐ Wendroff) methods, characteristic flux resolutions, subgrid embedded high-degree Lagrange bases and assembled stencil optimization for finite element weak statement implementations. For appropriate model problems, recent advances have led to accurate monotone methods with linear basis efficiency. This contribution highlights the theoretical developments and presents quantitative documentation of achieved high-quality solutions. Copyright © 1999 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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