Efficient natural conditions on open boundaries for incompressible flows are derived from a weak formulation of Navier-Stokes equations. Energy estimates in velocity-pressure are established from a mixed formulation and a rigourous proof of existence of solutions is given. As an illustration, the conditions are written down for the flow behind an obstacle in a channel. Moreover, numerical tests have shown the accuracy and robustness of such conditions.
CITATION STYLE
Bruneau, C. H., & Fabrie, P. (1996). New efficient boundary conditions for incompressible navier-stokes equations : A well-posedness result. Mathematical Modelling and Numerical Analysis, 30(7), 815–840. https://doi.org/10.1051/m2an/1996300708151
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