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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Vortex method
for two dimensional Euler equations
in bounded domains with boundary correction


Author: Lung-an Ying
Journal: Math. Comp. 67 (1998), 1383-1400
MSC (1991): Primary 65M99; Secondary 35Q35, 76C05
MathSciNet review: 1474659
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Abstract: The vortex method for the initial-boundary value problems of the Euler equations for incompressible flow is studied. A boundary correction technique is introduced to generate second order accuracy. Convergence and error estimates are proved.


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Additional Information

Lung-an Ying
Affiliation: Department of Mathematics, Peking University; Research Institute for Mathematical Sciences, Kyoto University
Address at time of publication: School of Mathematical Sciences, Peking University, Beijing, 100871, China
Email: yingla@sxx0.math.pku.edu.cn

DOI: http://dx.doi.org/10.1090/S0025-5718-98-00970-3
PII: S 0025-5718(98)00970-3
Keywords: Vortex method, Euler equation, initial boundary value problem
Received by editor(s): March 22, 1996
Received by editor(s) in revised form: April 23, 1997
Article copyright: © Copyright 1998 American Mathematical Society