Artificial Boundary Conditions of Pressure Type for Viscous Flows in a System of Pipes |
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Authors: | Stephan Blazy Sergueï Nazarov Maria Specovius-Neugebauer |
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Institution: | 1.Paderborn Center for Parallel Computing,Universit?t Paderborn,Paderborn,Germany;2.Institute of Mechanical Engineering Problems,St. Petersburg,Russia;3.Mathematik/Informatik,Universit?t Kassel,Kassel,Germany |
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Abstract: | In a three-dimensional domain Ω with J cylindrical outlets to infinity the problem is treated how solutions to the stationary Stokes and Navier–Stokes system with
pressure conditions at infinity can be approximated by solutions on bounded subdomains. The optimal artificial boundary conditions
turn out to have singular coefficients. Existence, uniqueness and asymptotically precise estimates for the truncation error
are proved for the linear problem and for the nonlinear problem with small data. The results include also estimates for the
so called “do-nothing” condition. |
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Keywords: | Primary 35Q30 Secondary 76D05 |
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