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zbMATH Open
Article . 1995
Data sources: zbMATH Open
SIAM Journal on Numerical Analysis
Article . 1995 . Peer-reviewed
Data sources: Crossref
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Projection Method I: Convergence and Numerical Boundary Layers

Projection method. I: Convergence and numerical boundary layers
Authors: E, Weinan; Liu, Jian-Guo;

Projection Method I: Convergence and Numerical Boundary Layers

Abstract

The authors present projection methods applied to the viscous incompressible flow calculations. This paper is devoted to the explicit characterization of the numerical boundary layers. The convergence and optimal error estimates for both velocity and pressure up to boundary are given. The authors study different choices of the pressure boundary conditions and compare their performance in terms of accuracy of the numerical solution. The boundary layer structure is strongly influenced by the numerical boundary condition for pressure at the projection step.

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Keywords

optimal error estimates, pressure boundary conditions, Navier-Stokes equations for incompressible viscous fluids, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods applied to problems in fluid mechanics

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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!
159
Top 1%
Top 1%
Top 10%
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