Performance of conservative and non-conservative two-dimensional shallow water models in wavy riverbed

Abstract

The conservativeness, stability, and robustness of the numerical models applied in braided river systems is primarily influenced by morphological complexities adverse, flow pattern and the channel roughness. Two-dimensional flow modelling over an undulating bed profile is critical on account of the existence of subsequent wet-dry regions in the flow domain. This work provides the applicability of the conservative and non-conservative form of two-dimensional unsteady flow equations in braided river system. Both models are solved by TVD McCormack predictor corrector finite difference method and applied in the Brahmaputra River near Majuli Island, Assam India. The computed outputs are compared with the field observed results for validation. Results indicate a satisfactory agreement between the computed and measured value. Two statistical indices are used in the model performance evaluation.