Stabilized Finite Elements in FUN3D
| Autor: | James C. Newman, W. Kyle Anderson, Steve L. Karman |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Scheme (programming language)
Mathematical optimization Discretization Computer science Aerospace Engineering Grid 01 natural sciences Finite element method Tetrahedral meshes 010305 fluids & plasmas 010101 applied mathematics Quadratic equation Convergence (routing) 0103 physical sciences Applied mathematics 0101 mathematics computer Flow solver Selection (genetic algorithm) computer.programming_language Mathematics |
| Zdroj: | Journal of Aircraft. 55:696-714 |
| ISSN: | 1533-3868 0021-8669 |
| DOI: | 10.2514/1.c034482 |
| Popis: | A Streamlined Upwind Petrov-Galerkin (SUPG) stabilized finite-element discretization has been implemented as a library into the FUN3D unstructured-grid flow solver. Motivation for the selection of this methodology is given, details of the implementation are provided, and the discretization for the interior scheme is verified for linear and quadratic elements by using the method of manufactured solutions. A methodology is also described for capturing shocks, and simulation results are compared to the finite-volume formulation that is currently the primary method employed for routine engineering applications. The finite-element methodology is demonstrated to be more accurate than the finite-volume technology, particularly on tetrahedral meshes where the solutions obtained using the finite-volume scheme can suffer from adverse effects caused by bias in the grid. Although no effort has been made to date to optimize computational efficiency, the finite-element scheme is competitive with the finite-volume scheme in terms of computer time to reach convergence. |
| Databáze: | OpenAIRE |
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