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Record 1 of 132545
Entropy Stable Wall Boundary Conditions for the Three-Dimensional Compressible Navier-Stokes Equations
External Online Source: doi:10.1016/j.jcp.2015.03.026
Author and Affiliation:
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)
Abstract: Non-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.
Publication Date: Mar 19, 2015
Document ID:
20150014329
(Acquired Jul 29, 2015)
Subject Category: AERONAUTICS (GENERAL)
Report/Patent Number: NF1676L-19578
Document Type: Journal Article
Publication Information: Journal of Computational Physics; Volume 292; 88-113
Contract/Grant/Task Num: WBS 794072.02.07.02.01
Financial Sponsor: NASA Langley Research Center; Hampton, VA, United States
Organization Source: NASA Langley Research Center; Hampton, VA, United States
Description: 26p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: ENTROPY; COMPUTATIONAL FLUID DYNAMICS; THREE DIMENSIONAL FLOW; NAVIER-STOKES EQUATION; NONLINEARITY; STABILITY; WALLS; BOUNDARY CONDITIONS; ROBUSTNESS (MATHEMATICS); FINITE ELEMENT METHOD; FINITE DIFFERENCE THEORY; FINITE VOLUME METHOD; UNSTRUCTURED GRIDS (MATHEMATICS); SUBSONIC FLOW; SUPERSONIC FLOW
Availability Source: Other Sources
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