Abstract
In this paper, a stabilized finite-element approach is used in the development of a high-order flow solver for compressible flows. The streamline/upwind Petrov-Galerkin discretization is used for the Navier-Stokes equations, and a fully implicit methodology is used for advancing the solution at each time step. The order of accuracy is assessed for both inviscid and viscous flows using the method of manufactured solutions. For two-dimensional flow, a meshcurving strategy is discussed that allows high-aspect-ratio curved elements in viscous flow regions. In addition, the effects of curved elements are evaluated in two dimensions using themethod ofmanufacture solutions. Finally, test cases are presented in two and three dimensions and compared with well-established results and/or experimental data.
| Original language | English |
|---|---|
| Pages (from-to) | 1404-1419 |
| Number of pages | 16 |
| Journal | AIAA Journal |
| Volume | 51 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2013 |
| Externally published | Yes |
Funding
The work was supported by the Tennessee Higher Education Commission Center of Excellence for Applied Computational Science and Engineering. This support is greatly appreciated. The authors would also like to thank Steve Allmaras, Tim Barth, Boris Diskin, Jim Thomas, and Venkat Venkatakrishnan for many valuable discussions.