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http://dx.doi.org/10.12941/jksiam.2017.21.109

SPECTRAL LEGENDRE AND CHEBYSHEV APPROXIMATION FOR THE STOKES INTERFACE PROBLEMS  

HESSARI, PEYMAN (DEPARTMENT OF MATHEMATICAL AND STATISTICAL SCIENCES, UNIVERSITY OF ALBERTA)
SHIN, BYEONG-CHUN (DEPARTMENT OF MATHEMATICS, CHONNAM NATIONAL UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.21, no.3, 2017 , pp. 109-124 More about this Journal
Abstract
The numerical solution of the Stokes equation with discontinuous viscosity and singular force term is challenging, due to the discontinuity of pressure, non-smoothness of velocity, and coupled discontinuities along interface.In this paper, we give an efficient algorithm to solve this problem by employing spectral Legendre and Chebyshev approximations.First, we present the algorithm for a problem defined in rectangular domain with straight line interface. Then it is generalized to a domain with smooth curve boundary and interface by employing spectral element method. Numerical experiments demonstrate the accuracy and efficiency of our algorithm and its spectral convergence.
Keywords
Stokes equation; pseudo-spectral method; interface problem;
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Times Cited By KSCI : 2  (Citation Analysis)
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