عنوان مقاله [English]
The 2D shallow water equations are used in flow simulation of rivers, floodplains, coastal currents, etc. In the research, updating or so-called numerical integration of temporal terms of two-dimensional equations using first-order methods is more stable but less accurate. In contrast, high-order accuracy methods have numerical stability problems and cause divergence. For this reason, second-order accurate methods that have median properties are widely used. Despite much research on how to deal with spatial terms, according to a review by the authors, there is less research on how to deal with temporal terms of equations. In addition, studies on time integration methods are limited to solving 1D problems. In this research, two different time integration methods of Runge-Kutta third order (RK-3 method) and Strang splitting operator method (Strang method), which have a second-order of accuracy and commonly used in various research, have been investigated. Therefore, two models have been obtained that the time integration methods used in them are different, but the ways adopted to deal with spatial and sources terms of equations is same. Then, 1D and 2D reference problems are implemented using these two models, and their results are presented in order to recognize the appropriate time integration method for solving 2D shallow water equations.