NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Collections About News Help Login
Back to Results
A genuinely multi-dimensional upwind cell-vertex scheme for the Euler equationsThe solution of the two-dimensional Euler equations is based on the two-dimensional linear convection equation and the Euler-equation decomposition developed by Hirsch et al. The scheme is genuinely two-dimensional. At each iteration, the data are locally decomposed into four variables, allowing convection in appropriate directions. This is done via a cell-vertex scheme with a downwind-weighted distribution step. The scheme is conservative, and third-order accurate in space. The derivation and stability analysis of the scheme for the convection equation, and the derivation of the extension to the Euler equations are given. Preconditioning techniques based on local values of the convection speeds are discussed. The scheme for the Euler equations is applied to two channel-flow problems. It is shown to converge rapidly to a solution that agrees well with that of a third-order upwind solver.
Document ID
19890015501
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Powell, Kenneth G. (Michigan Univ. Ann Arbor., United States)
Vanleer, Bram (NASA Lewis Research Center Cleveland, OH., United States)
Date Acquired
September 5, 2013
Publication Date
May 1, 1989
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.15:102029
E-4772
NASA-TM-102029
AIAA PAPER 89-0095
ICOMP-89-13
Meeting Information
Meeting: Aerospace Sciences Meeting
Location: Reno, NV
Country: United States
Start Date: January 9, 1989
End Date: January 12, 1989
Sponsors: AIAA
Accession Number
89N24872
Funding Number(s)
PROJECT: RTOP 505-62-21
CONTRACT_GRANT: NASA ORDER C-99066-G
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

Related Records

There are no records associated with this record.
No Preview Available