On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
Open Access
- 1 July 1996
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 65 (215) , 1039-1065
- https://doi.org/10.1090/s0025-5718-96-00750-8
Abstract
We present in this paper a rigorous error analysis of several projection schemes for the approximation of the unsteady incompressible Navier-Stokes equations. The error analysis is accomplished by interpreting the respective projection schemes as second-order time discretizations of a perturbed system which approximates the Navier-Stokes equations. Numerical results in agreement with the error analysis are also presented.Keywords
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