Oscillation‐Free Solution of Shallow Water Equations for Nonstaggered Grid

This paper contains a description of the method for the solution of the shallow water equations on nonstaggered grid points. The shallow water equations are split up in relation to the independent variables x and y as well as physical processes. Such a procedure reduces a solution of two‐dimensional problem to the solution of a number of one‐dimensional problems. A spatial discretization of these one‐dimensional equations is based on the finite difference method and the finite element method with the use of the nonstaggered numerical grid. The applied schemes of approximation ensure a smooth solution without oscillations of type “2Δ.”