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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:364

Article

Chen, Hongtao^1,2  Mao, Jingjing^1,2  Shen, Jie^1,2,3 

[1] Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Fujian, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

[3] Purdue Univ, Dept Math, W Lafayette, IN 47906 USA

关键词: Gauge-Uzawa method;    Variable density;    Error estimates;    Finite element method;    Stability;   

DOI  :  10.1016/j.cam.2019.06.037

来源: Elsevier

【 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.

【 授权许可】

Free