Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 221, Issue 1, Pages 181-197Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2006.06.013
Keywords
incompressible flows with variable density; projection methods; Gauge-Uzawa method; finite element method; stability
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Two new Gauge-Uzawa schemes are constructed for incompressible flows with variable density. One is in the conserved form while the other is in the convective form. It is shown that the first-order versions of both schemes, in their semi-discretized form, are unconditionally stable. Numerical experiments indicate that the first-order (resp. second-order) versions of the two schemes lead to first-order (resp. second-order) convergence rate for all variables and that these schemes are suitable for handling problems with large density ratios such as in the situation of air bubble rising in water. (c) 2006 Elsevier Inc. All rights reserved.
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