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Computational aspects of a viscous incompressible fluid

Authors: Guillermo Marshall;

Computational aspects of a viscous incompressible fluid

Abstract

The main conclusions in relation to the numerical aspects can be summarized as follows: In general stable solutions for higher Reynolds numbers can only be reached with non-centred differences for the approximation of the convective terms and with smoothing techniques (compound iteration). Furthermore this fact is true for explicit schemes and implicit schemes as well (integer or fractional time step methods). Explicit schemes on the verge of instability are competitive with implicit schemes. In the higher range of Reynolds numbers and with large time steps splitting methods seem very inaccurate. Obviously in such cases a great truncation error is involved and only qualitative global accuracy may be claimed.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Top 10%
Top 10%
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