Fully coupled approach to modeling shallow water flow, sediment transport, and bed evolution in rivers

Abstract

Our ability to predict complex environmental fluid flow and transport hinges on accurate and efficient simulations of multiple physical phenomenon operating simultaneously over a wide range of spatial and temporal scales, including overbank floods, coastal storm surge events, drying and wetting bed conditions, and simultaneous bed form evolution. This research implements a fully coupled strategy for solving shallow water hydrodynamics, sediment transport, and morphological bed evolution in rivers and floodplains (PIHM_Hydro) and applies the model to field and laboratory experiments that cover a wide range of spatial and temporal scales. The model uses a standard upwind finite volume method and Roe's approximate Riemann solver for unstructured grids. A multidimensional linear reconstruction and slope limiter are implemented, achieving second‐order spatial accuracy. Model efficiency and stability are treated using an explicit‐implicit method for temporal discretization with operator splitting. Laboratory‐and field‐scale experiments were compiled where coupled processes across a range of scales were observed and where higher‐order spatial and temporal accuracy might be needed for accurate and efficient solutions. These experiments demonstrate the ability of the fully coupled strategy in capturing dynamics of field‐scale flood waves and small‐scale drying‐wetting processes.