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On the error estimates for the rotational pressure-correction projection methods
Author(s):
J.
L.
Guermond;
Jie
Shen.
Journal:
Math. Comp.
73
(2004),
1719-1737.
MSC (2000):
Primary 65M12, 35Q30, 76D05
Posted:
December 19, 2003
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Abstract:
In this paper we study the rotational form of the pressure-correction method that was proposed by Timmermans, Minev, and Van De Vosse. We show that the rotational form of the algorithm provides better accuracy in terms of the  -norm of the velocity and of the  -norm of the pressure than the standard form.
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Additional Information:
J.
L.
Guermond
Affiliation:
LIMSI (CNRS-UPR 3152), BP 133, 91403, Orsay, France
Email:
guermond@limsi.fr
Jie
Shen
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
shen@math.purdue.edu
DOI:
10.1090/S0025-5718-03-01621-1
PII:
S 0025-5718(03)01621-1
Keywords:
Navier-Stokes equations,
projection methods,
fractional step methods,
incompressibility,
finite elements,
spectral approximations
Received by editor(s):
February 11, 2002
Received by editor(s) in revised form:
March 2, 2003
Posted:
December 19, 2003
Additional Notes:
The work of the second author is partially supported by NFS grants DMS-0074283 and DMS-0311915. Part of the work was completed while this author was a CNRS ``Poste Rouge'' visitor at LIMSI
Copyright of article:
Copyright
2003,
American Mathematical Society
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