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Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision. (English) Zbl 1313.76035

Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-60-8/pbk). 43-54 (2012).
Summary: 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.
For the entire collection see [Zbl 1277.00031].

MSC:

76D06 Statistical solutions of Navier-Stokes and related equations
76D05 Navier-Stokes equations for incompressible viscous fluids
76M10 Finite element methods applied to problems in fluid mechanics
35Q30 Navier-Stokes equations
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