Hyperbolic Reconstructed-Discontinuous-Galerkin Method for Accurate Unsteady Viscous Simulations on Unstructured Grids
Abstract
The objective of this research effort is to develop a very high-order unsteady viscous flow solver based on the reconstructed Discontinuous Galekrin (rDG) method and the first-order hyperbolic system method (FOHSM). The FOHSM has been developed under previous ARO support. The research couples the FOHSM and rDG techniques in order to take advantage of the capabilities of both methods for providing accurate and efficient computation of unsteady viscous flows. The effort will be focused on creating a new high-order algorithm characterized by a high-order and high-quality derivative prediction capability (FOHSM) and dramatically reduced computational cost and increased robustness (rDG). The goal of the effort is aligned with the hitherto unfulfilled vision of high-order unstructured-grid simulations with fully arbitrary anisotropic viscous grid adaptation in three dimensions. The research will begin with the required methodology to integrate the two methods into a single solver and demonstrate its capabilities on a model convection-diffusion equation. Once accomplished, then the effort will extend to a fully three-dimensional steady Navier-Stokes formulation, developing a solver capable of solving flow physics problems of practical interest. Finally, the unsteady capability will be developed, focusing on providing time-accurate solutions.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 12, 2017
- Source ID
- W911NF1610108
Entities
People
- Hiroaki Nishikawa
Organizations
- Army Contracting Command
- National Institute of Aerospace
- United States Army