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An hp-Adaptive Discontinuous Galerkin Solver for Aerodynamic flows on Mixed-Element Meshes
| Content Provider | Semantic Scholar |
|---|---|
| Author | Burgess, Nicholas K. Mavriplis, Dimitri J. |
| Copyright Year | 2011 |
| Abstract | In this work we develop an hp-adaptive discontinuous Galerkin (DG) solver for aerodynamic flows. Previous work has focused on efficient solution techniques for discontinuous Galerkin discretizations. Recent work has focused on improving the robustness and efficiency of our discontinuous Galerkin solver for aerodynamic flows. Herein we propose an hp-adaptive approach which seeks to place degrees of freedom within the domain in the manner most appropriate for the nature of the solution. Near discontinuities the algorithm will refine the mesh while in regions where the solution is smooth it will enrich the discretization order. This has two effects, first of all degrees of freedom are placed where they are needed thus addressing the efficiency of the method and second we avoid attempting to use high-order polynomials to capture solutions which are discontinuous, addressing the robustness of the method. The adaptation procedure is driven via a discrete adjoint-based goaloriented error estimation technique. The method is evaluated using three test cases all of which are steady state flows. Two of these are laminar viscous flows and one is an inviscid transonic flow. In addition the transonic flow has been computed using an artificial diffusion method and the hp-adaptive approach is compared to the artificial diffusion shock capturing method. |
| File Format | PDF HTM / HTML |
| DOI | 10.2514/6.2011-490 |
| Alternate Webpage(s) | https://scientific-sims.com/cfdlab/Dimitri_Mavriplis/HOME/assets/papers/AIAA.2011.490.pdf |
| Alternate Webpage(s) | https://doi.org/10.2514/6.2011-490 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
