USE OF GRADIENT LIMITERS TO SOLVE NAVIER-STOKES EQUATIONS ON ARBITRARY UNSTRUCTURED GRIDS
S. V. Lashkin, A. S. Kozelkov, E. V. Glazunova, N. V. Tarasova, A. V. Yalozo VANT. Ser.: Mat. Mod. Fiz. Proc 2017. Вып.2. С. 3-17.
The paper analyses the use of gradient limiters on arbitrarily-shaped unstructured grids in the finite volume methods for the Navier-Stokes equation discretization with the SIMPLE algorithm. The effect of limiters on the accuracy of results obtained using the convective gradient schemes of the second order, as well as the accuracy of gradients calculated using the Green-Gauss iterative algorithm is considered. Simulations of compressible and incompressible flows using grids of different topologies are described. An optimal use of limiters for solving problems with the SIMPLE algorithm is recommended.Keywords: gradient limiters, unstructured grids, Navier-Stokes equations, algorithm SIMPLE.
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