New approach for solving stationary nonlinear Navier-Stokes equations in non-convex domain

10/29/2021

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by   Alexey V. Rukavishnikov, et al.

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In the paper, an approach for the numerical solution of stationary nonlinear Navier-Stokes equations in rotation and convective forms in a polygonal domain containing one reentrant corner on its boundary, that is, a corner greater than π is considered. The method allows us to obtain the 1st order of convergence of the approximate solution to the exact one with respect to the grid step h, regardless of the reentrant corner value.