Abstract
A streamlined upwind Petrov-Galerkin (SUPG)-stabilized finite-element discretization has been implementedasa 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 with 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 finitevolume 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.
| Original language | English |
|---|---|
| Pages (from-to) | 696-714 |
| Number of pages | 19 |
| Journal | Journal of Aircraft |
| Volume | 55 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2018 |
| Externally published | Yes |
Funding
This research was sponsored by NASA’s Transformational Tools and Technologies (TTT) Project of the Transformative Aeronautics Concepts Program under the Aeronautics Research Mission Directorate.
| Funders | Funder number |
|---|---|
| Aeronautics Research Mission Directorate | |
| National Aeronautics and Space Administration |