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High accuracy solutions of incompressible Navier-Stokes equationsIn recent years, high accuracy finite difference approximations were developed for partial differential equations of elliptic type, with particular emphasis on the convection-diffusion equation. These approximations are of compact type, have a local truncation error of fourth order, and allow the use of standard iterative schemes to solve the resulting systems of algebraic equations. These high accuracy approximations are extended to the solution of Navier-Stokes equations. Solutions are obtained for the model problem of driven cavity and are compared with solutions obtained using other approximations and those obtained by other authors. It is discovered that the high order approximations do indeed produce high accuracy solutions and have a potential for use in solving important problems of viscous fluid flows.
Document ID
19900012251
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Gupta, Murli M. (NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
September 6, 2013
Publication Date
March 1, 1990
Subject Category
Numerical Analysis
Report/Patent Number
E-5350
NASA-TM-102539
NAS 1.15:102539
ICOMP-90-10
Accession Number
90N21567
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.

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