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Adiabatic Shock Capturing in Perfect Gas Hypersonic FlowsThis paper considers the streamline-upwind Petrov/Galerkin (SUPG) method applied to the compressible Euler and Navier-Stokes equations in conservation-variable form. The spatial discretization, including a modified approach for interpolating the inviscid flux terms in the SUPG finite element formulation, is briefly reviewed. Of particular interest is the behavior of the shock capturing operator, which is required to regularize the scheme in the presence of strong, shock-induced gradients. A standard shock capturing operator which has been widely used in previous studies by several authors is presented and discussed. Specific modifications are then made to this standard operator which are designed to produce a more physically consistent discretization in the presence of strong shock waves. The actual implementation of the term in a finite dimensional approximation is also discussed. The behavior of the standard and modified scheme is then compared for several supersonic/hypersonic flows. The modified shock capturing operator is found to preserve enthalpy in the inviscid portion of the flowfield substantially better than the standard operator.
Document ID
20090038730
Acquisition Source
Johnson Space Center
Document Type
Preprint (Draft being sent to journal)
Authors
Kirk, Benjamin S.
(NASA Johnson Space Center Houston, TX, United States)
Date Acquired
August 24, 2013
Publication Date
January 1, 2009
Subject Category
Fluid Mechanics And Thermodynamics
Report/Patent Number
JSC-CN-18751
Funding Number(s)
WBS: WBS 644423.02.39.10.10.02
Distribution Limits
Public
Copyright
Other

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