NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Practical formulation of a positively conservative schemeApproximate Riemann solvers have been highly successful for computing the Euler/Navier-Stokes equations, but linearized Riemann solvers are known to fail occasionally by predicting non-physical states with negative density or internal energy. Positively conservative schemes, in contrast, guarantee physical solutions from realistic input. The Harten-Lax-van Leer-Einfeldt (HLLE) scheme is a typical example of a positively conservative scheme. However, the HLLE scheme is highly dissipative at contact discontinuities and shear layers and thus it is not applicable to practicle simulations. An existing modification to the HLLE scheme, known as HLLEM, enhances the resolution to that of the Roe scheme. However, this modification violates the positivity of density and internal energy. Precise derivation of the modification yields a quatratic inequality and thus requires a case-by-case treatment. This Note describes a new, modified HLLE scheme that satisfies the positively conservative condition approximately. Sample computationa are included to demonstrate the resolution and the robustness of the scheme.
Document ID
19950053451
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Obayashi, Shigeru
(NASA Ames Research Center Moffett Field, CA, United States)
Wada, Yasuhiro
(NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
August 16, 2013
Publication Date
May 1, 1994
Publication Information
Publication: AIAA Journal
Volume: 32
Issue: 5
ISSN: 0001-1452
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
95A85050
Funding Number(s)
CONTRACT_GRANT: NCC2-605
Distribution Limits
Public
Copyright
Other

Available Downloads

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