Error estimate of Gauge-Uzawa methods for incompressible flows with variable density

摘要

In this paper, we construct a positivity-preserving Gauge-Uzawa method for the semi-discrete-in-time scheme of incompressible viscous flows with variable density, and establish its stability and error estimates. We also construct and implement a fully discrete scheme with finite elements in space and derive its positivity-preserving and stability result. (C) 2019 Elsevier B.V. All rights reserved.