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Transient simulation of internal separated flows using an intelligent higher-order spatial discretization scheme
Date
1997-04-30
Author
Oymak, O
Selçuk, Nevin
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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This paper summarizes the method-of-lines (MOL) solution of the Navier-Stokes equations for an impulsively started incompressible laminar flow in a circular pipe with a sudden expansion. An intelligent higher-order spatial discretization scheme, which chooses upwind or downwind discretization in a zone-of-dependence manner when flow reversal occurs, was developed for separated flows. Stability characteristics of a linear advective-diffusive equation were examined to depict the necessity of such a scheme in the case of flow reversals. The proposed code was applied to predict the time development of an impulsively started flow in a pipe with a sudden expansion. Predictions were found to show the expected trends for both unsteady and steady states. This paper demonstrates the ease with which the Navier-Stokes equations can be solved in an accurate manner using sophisticated numerical algorithms for the solution of ordinary differential equations (ODEs). Solutions of the Navier-Stokes equations in primitive variables formulation by using the MOL and intelligent higher-order spatial discretization scheme are not available to date. (C) 1997 by John Wiley & Sons, Ltd.
Subject Keywords
Computational fluid dynamics
,
Method of lines
,
Internal separated flows
,
Higher-order spatial discretization
URI
https://hdl.handle.net/11511/54857
Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Collections
Graduate School of Natural and Applied Sciences, Article