Tenth MSU Conference on Differential Equations and Computational Simulations. Electron. J. Diff. Eqns., Conference 23 (2016), pp. 9-20.

Second-order fully discretized projection method for incompressible Navier-Stokes equations

Daniel X. Guo

A second-order fully discretized projection method for the incompressible Navier-Stokes equations is proposed. It is an explicit method for updating the pressure field. No extra conditions of immediate velocity fields are needed. The stability and convergence are investigated.

Published March 21, 2016.
Math Subject Classifications: 76D05, 74H15, 65C20, 65M12.
Key Words: Fully discretized; projection method; Navier-Stokes equations; stability; convergence.

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Daniel X. Guo
Department of Mathematics and Statistics
University of North Carolina
Wilmington NC 28403, USA
email: guod@uncw.edu

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