Date:

2025-04-30

Title of Paper:

Overshoot/Undershoot Behavior Predicted By Some High- Resolution Composite Schemes Following G/L CBC

Journal:

Progress of Computational Fluid Dynamics

Summary:

Abstract: Analysis of a discretised scalar equation shows that high-resolution composite
schemes containing a characteristic line of ˆ 1 f  φ = on the Normalised Variable Diagram (NVD),
although following the Convective Boundedness Criterion (CBC) proposed by Gaskell and
Lau, may result in numerical results dependent on initial field, and thus may predict
overshoot/undershoot behaviour. The finding is confirmed by testing a case of pure convection of
a double-step profile in an oblique uniform velocity field. A slightly revised CBC is proposed by
excluding the line of ˆ 1 f φ = from the CBC region, and can predict bounded numerical results
without losing accuracy.

Keywords: high-resolution composite schemes; convective boundedness criterion;
overshoot/undershoot; revised CBC.

Co-author:

J. J. Wei*, B. Yu, W. Q. Tao, and Y. Kawaguchi

Volume:

9

Page Number:

277-282

Translation or Not:

No

Date of Publication:

2009-03-18