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 ${\pi}$ 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.
翻译:本文考虑了在多边形域中以旋转和对流形式以固定的非线性Navier-Stokes方程式的数值解决方案,该方程式在其边界上包含一个复入角,即一个大于$_pi}$的角。该方程式使我们得以在网格步骤h方面获得与确切方程式的近似解决方案的一阶趋同,而不论复入角值如何。