An approximate method for solving incompressible Navier–Stokes problems with flow rate conditions
作者： Alessandro Veneziani , Christian Vergara
DOI: 10.1016/J.CMA.2006.09.011
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摘要: We consider the incompressible Navier–Stokes problem with flow rate boundary conditions. This has been investigated in [J. Heywood, R. Rannacher, S. Turek, Artificial boundaries and flux pressure conditions for equations, Int. J. Numer. Methods Fluids 22 (1996) 325–352; L. Formaggia, F. Gerbeau, Nobile, A. Quarteroni, Numerical treatment of defective equation, SIAM Anal. 40(1) (2002) 376–401; Veneziani, C. Vergara, Flow haemodynamics simulations, 47 (2005) 803–816]. In latter two papers, a feasible numerical formulation this problem, based on Lagrange multiplier approach investigated. drawback high computational costs. paper, we propose an approximate yielding strong reduction The error analysis shows that introduced by is confined small region boundary. confirmed simulations.
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