Random-walk-path solution of unsteady flow equations for general channel networks

The random walk path method (RWP) is a stochastic model that transforms the solution of unsteady open channel flow equations into probability problem. In this paper, introduced to solve discretized Saint-Venant equations, with probabilistic representation water levels at junctions. Different boundary conditions, which specify either or discharge hydrographs, can be implemented by specifying how walkers react when arriving boundaries. pointwise river junctions obtained via simulations. efficacy was verified against following test cases: (1) real-world looped example documented in manual software Hec-Ras and (2) hypothetical system consisting dendritic divergent networks. number simulations an important aspect RWP needs chosen considering trade-off between precision computational efficiency. impact level on internal nodes quantitatively evaluated adopting terminal weights, present distinct advantage method. This assessment serve as guide operation hydraulic controls, such dams, sluices pumps, effectively regulate mitigating flood risks.