Error estimates for an operator-splitting method for Navier-Stokes equations: Second-order schemes |
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| Authors: | Xiaoxia Dai Jie Sun |
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| Affiliation: | a Department of Mathematics, Zhejiang University, PR China
b Department of Mathematics, Zhejiang University of Finance and Economics, PR China |
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| Abstract: | We present in this paper an error analysis of a fractional-step method for the approximation of the unsteady incompressible Navier-Stokes equations. Under mild regularity assumptions on the continuous solution, we obtain second-order error estimates in the time step size, both for velocity and pressure. Numerical results in agreement with the error analysis are also presented. |
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| Keywords: | Navier-Stokes equations Fractional-step methods Error analysis |
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