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http://dx.doi.org/10.11568/kjm.2014.22.4.645

A CLASSIFICATION OF THE SECOND ORDER PROJECTION METHODS TO SOLVE THE NAVIER-STOKES EQUATIONS  

Pyo, Jae-Hong (Department of Mathematics Kangwon National University)
Publication Information
Korean Journal of Mathematics / v.22, no.4, 2014 , pp. 645-658 More about this Journal
Abstract
Many projection methods have been progressively constructed to find more accurate and efficient solution of the Navier-Stokes equations. In this paper, we consider most recently constructed projection methods: the pressure correction method, the gauge method, the consistent splitting method, the Gauge-Uzawa method, and the stabilized Gauge-Uzawa method. Each method has different background and theoretical proof. We prove equivalentness of the pressure correction method and the stabilized Gauge-Uzawa method. Also we will obtain that the Gauge-Uzawa method is equivalent to the gauge method and the consistent splitting method. We gather theoretical results of them and conclude that the results are also valid on other equivalent methods.
Keywords
Projection method; Gauge-Uzawa method; the rotational form of pressure correction method; Navier-Stokes equations; incompressible fluids;
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Times Cited By KSCI : 1  (Citation Analysis)
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