Mathematics of Computation

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On Error Estimates of the Projection Methods for the Navier-Stokes Equations: Second-order Schemes

Author(s): Jie Shen.
Journal: Math. Comp. 65 (1996), 1039-1065.
MSC (1991): Primary 65M15, 35Q30; Secondary 35A40, 65J15
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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.

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Additional Information:

Jie Shen
Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
Address at time of publication: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
Email: shen_j@math.psu.edu

DOI: 10.1090/S0025-5718-96-00750-8
PII: S 0025-5718(96)00750-8
Keywords: Pseudo-compressibility, pressure stabilization, projection method, Navier-Stokes equations
Received by editor(s): March 3, 1994
Received by editor(s) in revised form: February 11, 1995 and March 6, 1995
Additional Notes: This work was supported in part by NSF Grant \#9205300.
Copyright of article: Copyright 1996, American Mathematical Society


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