Application of adjusted Youngs-VOF method for shallow water problems

Abstract

Shallow water problems such as tidal bore, dam-break wave, shallow water wave etc. are important for design, construction, and operation of water conservancy projects. In this study, a 2-D vertical flow model having a strong adaptability for the nonlinear free surface and describing normally for bed source term is established by combining the nonlinear turbulence model and the Youngs-VOF method. The turbulent equations are discreted with implicit scheme in the vertical coordinate and explicit scheme in the horizontal coordinate based on the power-law scheme. The model is applied for a dam break wave problem and transcritical flow problem. The results show the adjusted model have a good performance in predicting xxx on the shallow water problems with strong nonlinearity, such as tidal bores. Our adjusted model and findings may benefit the design and management of water conservancy infrastructures in practice.