Accurately and robustly model complex 2D 'shock' hydraulics

Need quick, accurate and robust model simulations? Flood Modeller’s 2D TVD solver is designed to help you achieve accurate and stable results when modelling complex two-dimensional 'shock' hydraulics.


Modelling the failure of a defence structure, such as a levee/embankment or dam, which can have significant consequences, enables flood risk and flood hazards to be confidently understood and the impacts on people, property and the environment to be assessed, and mitigation options to be tested.

The 2D TVD solver has been specifically developed to provide an accurate representation of two-dimensional 'shocks' (rapid changes in water surface profile), addressing the limitations of solvers found in other software. It is capable of modelling sub-critical flow and is widely used for modelling dam breach, very steep catchments or flow down spillways. For rapidly varying flow, where hydraulic jumps may occur, the TVD solver generates more stable and smoother solutions as it’s particularly suited to modelling steep changes in velocity and water level.


The 2D TVD solver can be dynamically linked to Flood Modeller's industry-leading 1D River solver to enable an integrated modelling approach. Multiple 2D model domains, with different cell size and orientation, can be incorporated into a single model. This allows you to undertake more detailed analysis within an urban environment, whilst modelling the entire area of interest, without significantly increasing model run times. Results can then be analysed used a wide-range of analysis and visualisation tools.

Explore 2D results in the core map interface, overlaid on the built-in background mapping and any other contextual layers. The built-in animation functions enable you to view and record a complete picture of your model results.


The 2D TVD solver uses predictor and corrector steps to compute depth and flow at the new timestep. A TVD term is then added to the corrector step to remove numerical oscillations near sharp gradients – providing accurate and stable results. It discretises the shallow water equations in a slightly different way to the ADI scheme, as flows are represented at the cell centres, rather than at the edges. Since the TVD scheme uses explicit time stepping, the maximum stable Courant number is around 1. This means a much smaller time step must be used with the TVD scheme to ensure stability.


Use the unique features of our 2D TVD solver to accurately model the propagation of the flooding that results from a defence failure. The advanced features that you find in Flood Modeller allow you to easily model the impacts of a structure failure for events of different flood severity. It helps determine whether a proposed development is safe or not by assessing the velocity, rate of inundation and depth of flood water anticipated. This enables you to better understand the risks and be better prepared to respond should it ever occur.


If you have any questions with regards to the 2D TVD solver or dam-breach analysis, please get in touch with a member of our team today.

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