Flux-difference splitting scheme is implemented on the shallow water and mass conservation equations with modified acceleration due to gravity to simulate evolution of gravity currents. The shallow water and mass conservation equations are solved separately. A front condition is enforced using available empirical relationships. The numerical model is applied to simulate the motion of the gravity currents, made of saline water of varying concentration or a water particle mixture, that were observed experimentally. The front velocity and front height are compared with experimental data. The longitudinal profiles of the gravity currents are also presented. Conclusions are drawn regarding the applicability and accuracy of shallow water equations solved by flux-difference splitting scheme for simulating evolution of gravity currents.
展开▼