Application of schemes with a quasi-one-dimensional reconstruction of variables for calculations on nonstructured sliding grids

Abstract

The paper generalizes the conservative volume-centered scheme based on the quasi-onedimensional reconstruction of variables (the BBR scheme) to solve the Euler equations on blockstructured three-dimensional nonstructured grids with sliding interfaces. The calculation of flow by the BBR scheme implies a high volume of calculations, dependent only on the grid geometry. In making calculations on a static grid, these calculations can be carried out at the stage that initialization is calculated. In the presence of sliding interfaces in their neighborhood, these geometrical coefficients have to be recalculated after each offset of one grid block relative to another, that is, for each moment of time. In this paper we propose the modification of the BBR scheme near the grid interface, thus avoiding an excessively high expenditure of the processor time. It is equally applicable for linear schemes and for the use of limiters. On test cases, it is demonstrated that in the use of the implementation scheme described here, the presence of the sliding interface does not have a material effect on the accuracy of the calculations.