Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision
Burda, Pavel ; Novotný, Jaroslav ; Šístek, Jakub
Applications of Mathematics 2012, GDML_Books, (2012), p. 43-54 / Harvested from
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We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution.

EUDML-ID : urn:eudml:doc:287806
Mots clés:
Mots clés: 
@article{702891,
     title = {Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision},
     booktitle = {Applications of Mathematics 2012},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2012},
     pages = {43-54},
     mrnumber = {MR3204399},
     zbl = {1313.76035},
     url = {http://dml.mathdoc.fr/item/702891}
}

Burda, Pavel; Novotný, Jaroslav; Šístek, Jakub. Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision, dans Applications of Mathematics 2012, GDML_Books,  (2012), pp. 43-54. http://gdmltest.u-ga.fr/item/702891/