Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows-Reference-Cited by-同舟云学术

Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows

Published:2016-09-24 Issue:3 Volume:70 Page:965-989
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Han Daozhi,Brylev Alex,Yang Xiaofeng,Tan Zhijun

Funder

National Science Foundation

Air Force Office of Scientific Research

NSFC

the Fundamental Research Funds for the Central Universities

Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University

Guangdong Provincial Government of China through the “Computational Science Innovative Research Team” program

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-016-0279-5.pdf

Reference54 articles.

1. Anderson, D.M., McFadden, G.B., Wheeler, A.A.: Diffuse-interface methods in fluid mechanics. In: Annual Review of Fluid Mechanics, Annu. Rev. Fluid Mech., vol. 30, pp. 139–165. Annual Reviews, Palo Alto, CA (1998)

2. Arnold, D.N., Brezzi, F., Fortin, M.: A stable finite element for the Stokes equations. Calcolo 21(4), 337–344 (1985) (1984). doi: 10.1007/BF02576171

3. Baskaran, A., Lowengrub, J.S., Wang, C., Wise, S.M.: Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation. SIAM J. Numer. Anal. 51(5), 2851–2873 (2013). doi: 10.1137/120880677

4. Bray, A.: Theory of phase-ordering kinetics. Adv. Phys. 43(3), 509–523 (1994)

5. Brown, D.L., Cortez, R., Minion, M.L.: Accurate projection methods for the incompressible Navier–Stokes equations. J. Comput. Phys. 168(2), 464–499 (2001). doi: 10.1006/jcph.2001.6715

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