A FULLY CONSERVATIVE BEAM AND WARMING SCHEME FOR TRANSIENT OPEN-CHANNEL FLOWS

A fully conservative Beam and Warming scheme that uses Roe's approxima te Jacobian is presented for solving transient open channel flows. A g eneral treatment for satisfying entropy inequality condition is incorp orated which always leads to a physically realistic solution. Details of the Beam and Warming scheme, inclusion of the source terms and prop osed modifications for achieving full conservation are presented. Impr ovement in accuracy achieved with the proposed treatment is demonstrat ed by comparing numerical results by different versions of the scheme with analytical solutions. The applicability of the scheme is examined by comparing numerical results with experimental data and numerical r esults from existing studies. The scheme's response to the Courant num ber and Manning's coefficient is also investigated.