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LIGHTNING STOKES SOLVER.

Authors :
BRUBECK, PABLO D.
TREFETHEN, LLOYD N.
Source :
SIAM Journal on Scientific Computing. 2022, Vol. 44 Issue 3, pA1205-A1226. 22p.
Publication Year :
2022

Abstract

Gopal and Trefethen recently introduced "lightning solvers" for the 2D Laplace and Helmholtz equations, based on rational functions with poles exponentially clustered near singular corners. Making use of the Goursat representation in terms of analytic functions, we apply these methods to the biharmonic equation, specifically to 2D Stokes flow. Solutions to model problems are computed to 10-digit accuracy in less than a second of laptop time. As an illustration of the high accuracy, we resolve two or more counterrotating Moffatt eddies near a singular corner. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10648275
Volume :
44
Issue :
3
Database :
Academic Search Index
Journal :
SIAM Journal on Scientific Computing
Publication Type :
Academic Journal
Accession number :
157336313
Full Text :
https://doi.org/10.1137/21M1408579