On the approximation of local efflux/influx bed discharge in the shallow water equations based on a wave propagation algorithm

摘要: In cities, flood waves may propagate over street surfaces below which lie complicated pipe networks used for storm drainage and sewage. The flows can interact at connections between the underground pipes surface. present paper examines this interaction, using shallow water equations to model wave hydrodynamics. Sources sinks in mass conservation equation are inflow outflow conditions bed connections. We consider problem reduced one dimension. solved a Godunov-type propagation scheme. Wave speeds modified algorithm enable be simulated nearly dry beds states. First, is simulate vertical through finite gaps bed. Next, interaction of with dam break flow considered both wet beds. An efflux number, En, defined based on velocity gap length. Comparisons made numerical predictions from STAR-CD, commercial Navier?Stokes solver that models free-surface motions, parameter study undertaken investigate effect one-dimensional approximation model, range non-dimensional numbers. It found gives sensible all time provided En 0.5. Dam an connecting also considered.