NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Entropy Stable Wall Boundary Conditions for the Three-Dimensional Compressible Navier-Stokes EquationsNon-linear entropy stability and a summation-by-parts framework are used to derive entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations. A semi-discrete entropy estimate for the entire domain is achieved when the new boundary conditions are coupled with an entropy stable discrete interior operator. The data at the boundary are weakly imposed using a penalty flux approach and a simultaneous-approximation-term penalty technique. Although discontinuous spectral collocation operators on unstructured grids are used herein for the purpose of demonstrating their robustness and efficacy, the new boundary conditions are compatible with any diagonal norm summation-by-parts spatial operator, including finite element, finite difference, finite volume, discontinuous Galerkin, and flux reconstruction/correction procedure via reconstruction schemes. The proposed boundary treatment is tested for three-dimensional subsonic and supersonic flows. The numerical computations corroborate the non-linear stability (entropy stability) and accuracy of the boundary conditions.
Document ID
20150014329
Acquisition Source
Langley Research Center
Document Type
Reprint (Version printed in journal)
Authors
Parsani, Matteo
(NASA Langley Research Center Hampton, VA, United States)
Carpenter, Mark H.
(NASA Langley Research Center Hampton, VA, United States)
Nielsen, Eric J.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
July 28, 2015
Publication Date
March 19, 2015
Publication Information
Publication: Journal of Computational Physics
Volume: 292
Subject Category
Aeronautics (General)
Report/Patent Number
NF1676L-19578
Funding Number(s)
WBS: WBS 794072.02.07.02.01
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available