Flood and Shock Waves Simulation by Using Finite Volume Technique on Unstructured Meshes

A two-dimensional (2D) finite-volume flow solver working on unstructured meshes is developed with using object oriented C++ programming language to solve shallow water equations in conservative form. The solver uses Godunov type second order finite volume scheme in space and fourth order Runge-Kutta scheme in time domain. This solver will be used for flood routing analysis on Ulus Basin with irregular topography, located in the West Black Sea Region of Turkey in an ongoing project. The solver is tested using several dam break cases. The flow solver is also run for 1D case to compare the results with the analytical solutions. Generation of triangular mesh is achieved by using mesh generation software. Water depths simulated after the dam break are compared with the experimental data given in the literature. The shock wave propagation in the channel and time variation of the water depths are prepared in animation form and presented in this paper.