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On Error Estimates of the Projection Methods for the Navier-Stokes Equations: Second-order Schemes |
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| Authors: | Jie Shen |
| Institution: | Department of Mathematics, Penn State University, University Park, Pennsylvania 16802 |
| 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: | Pseudo-compressibility pressure stabilization projection method Navier-Stokes equations |
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