Abstract
Modelling floods and flood-related disasters has become priority for many researchers and practitioners. Currently, there are several options that can be used for modelling floods in urban areas and the present work attempts to investigate effectiveness of different model formulations in modelling supercritical and transcritical flow conditions. In our work, we use the following three methods for modelling one-dimensional (1D) flows: the MIKE 11 flow model, Kutija’s method, and the Roe scheme. We use two methods for modelling two-dimensional (2D) flows: the MIKE21 flow model and a non-inertia 2D model. Apart from the MIKE11 and MIKE21 models, the code for all other models was developed and used for the purposes of the present work. The performance of the models was evaluated using hypothetical case studies with the intention of representing some configurations that can be found in urban floodplains. The present work does not go into the assessment of these models in modelling various topographical features that may be found on urban floodplains, but rather focuses on how they perform in simulating supercritical and transcritical flows. The overall findings are that the simplified models which ignore convective acceleration terms (CATs) in the momentum equations may be effectively used to model urban flood plains without a significant loss of accuracy.
Highlights
Flood disaster risk has become an increasingly important problem and a growing issue around the world
Since it continues to be at the top of the agenda for many cities, the development of sufficiently accurate and efficient flood modelling tools has become of utmost importance for many researchers and practitioners, and for those dealing with mitigation of floods and flood-related disasters
In the models description below, we focus on the momentum equation and different techniques used to deal with supercritical or transcritical flow conditions
Summary
Flood disaster risk has become an increasingly important problem and a growing issue around the world. Some modelling packages make the assumption that the algorithm for subcritical flow does not change the structure but the non-linear CATs in the momentum equations are reduced to zero as Froude number approaches unity (e.g., the case of the MIKE11 hydrodynamic model). This gradual reduction of the CATs has been implemented in [24] to assess its effect on jump movement. Details of these models are further elaborated
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