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LIGHTNING STOKES SOLVER.
- 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]
- Subjects :
- *STOKES flow
*BIHARMONIC equations
*ANALYTIC functions
*EDDIES
Subjects
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