Aleksyuk A. I., Belikov V. V. Simulation of shallow water flows with shoaling areas and bottom discontinuities // Computational Mathematics and Mathematical Physics. — 2017. — Vol. 57, no. 2. — P. 318–339.
A numerical method based on a second-order accurate Godunov-type scheme is described for solving the shallow water equations on unstructured triangular-quadrilateral meshes. The bottom surface is represented by a piecewise linear approximation with discontinuities, and a new approximate Riemann solver is used to treat the bottom jump. Flows with a dry sloping bottom are computed using a simplified method that admits negative depths and preserves the liquid mass and the equilibrium state. The accuracy and performance of the approach proposed for shallow water flow simulation are illustrated by computing one- and two-dimensional problems.
2019Grigoryeva I. L., Komissarov A. B., Kuzovlev V. V., Lapina E.E., Chekmareva E. A. Features of the Winter Hydrochemical Regime of the Upper Volga Reservoirs // IOP Conference Series: Earth and Environmental Science. IOP Publishing Ltd. 2019
2019Grigoryeva I. L., Komissarov A. B., Kuzovlev V. V., Chekmareva E. A. Influence of Thermal Pollution on the Ecological Conditions in Cooling Reservoirs // Water Resources. Pleiades Publishing, Ltd. Vol. 46. Suppl. 1. pp. 101-109. ISSN 0097-8078