This paper explores the implementation of adaptive mesh refinement in an implicit un- structured finite-volume solver. Unsteady and steady problems are considered. The effect on the recovery of high-order numerics is explored and the results are favorable. Important to this work is the ability to provide a path for eficient, implicit time advancement. A refinement metric using a simple sensor based on undivided differences is discussed and applied to a model problem with practical applications: a shock-shock interaction on a hypersonic, inviscid double-wedge. Cases are compared to uniform grids without the use of adapted meshes in order to assess error and computational expense. Discussion of diff- culties and future work prepare this method for additional research. The potential for this approach in more complicated flows is described.
|Original language||English (US)|
|State||Published - Sep 13 2013|
|Event||21st AIAA Computational Fluid Dynamics Conference - San Diego, CA, United States|
Duration: Jun 24 2013 → Jun 27 2013
|Other||21st AIAA Computational Fluid Dynamics Conference|
|City||San Diego, CA|
|Period||6/24/13 → 6/27/13|