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Simple finite element method in vorticity formulation for incompressible flows
Author(s):
Jian-Guo
Liu;
Weinan
E.
Journal:
Math. Comp.
70
(2001),
579-593.
MSC (2000):
Primary 65M60, 76M10
Posted:
March 3, 2000
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Abstract:
A very simple and efficient finite element method is introduced for two and three dimensional viscous incompressible flows using the vorticity formulation. This method relies on recasting the traditional finite element method in the spirit of the high order accurate finite difference methods introduced by the authors in another work. Optimal accuracy of arbitrary order can be achieved using standard finite element or spectral elements. The method is convectively stable and is particularly suited for moderate to high Reynolds number flows.
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Additional Information:
Jian-Guo
Liu
Affiliation:
Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, MD 20742
Email:
jliu@math.umd.edu
Weinan
E
Affiliation:
Courant Institute of Mathematical Sciences, New York, NY 10012
Email:
weinan@cims.nyu.edu
DOI:
10.1090/S0025-5718-00-01239-4
PII:
S 0025-5718(00)01239-4
Keywords:
Simple finite element method,
Navier-Stokes equations,
vorticity boundary conditions,
error analysis
Received by editor(s):
June 8, 1999
Posted:
March 3, 2000
Additional Notes:
JGL was supported in parts by NSF grant DMS-9805621.
Copyright of article:
Copyright
2000,
American Mathematical Society
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