[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12941/jksiam.2011.15.3.233

AN OVERVIEW OF BDF2 GAUGE-UZAWA METHODS FOR INCOMPRESSIBLE FLOWS

Pyo, Jae-Hong (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY)

Publication Information

Journal of the Korean Society for Industrial and Applied Mathematics / v.15, no.3, 2011 , pp. 233-251 More about this Journal

Abstract

The Gauge-Uzawa method [GUM] in [9] which is a projection type algorithm to solve evolution Navier-Stokes equations has many advantages and superior performance. But this method has been studied for backward Euler time discrete scheme which is the first order technique, because the classical second order GUM requests rather strong stability condition. Recently, the second order time discrete GUM was modified to be unconditionally stable and estimated errors in [12]. In this paper, we contemplate several GUMs which can be derived by the same manner within [12], and we dig out properties of them for both stability and accuracy. In addition, we evaluate an stability condition for the classical GUM to construct an adaptive GUM for time to make free from strong stability condition of the classical GUM.

Keywords

Projection method; Gauge method; Uzawa method; Gauge-Uzawa method; Navier-Stokes equation; incompressible fluids;

Citations & Related Records

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