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Vortex method for two dimensional Euler equations in bounded domains with boundary correction
Author(s):
Lung-an
Ying.
Journal:
Math. Comp.
67
(1998),
1383-1400.
MSC (1991):
Primary 65M99;
Secondary 35Q35, 76C05
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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:
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
Copyright of article:
Copyright
1998,
American Mathematical Society
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