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The algorithm allows for 'discontinuous-elevation', or 'jumps' in the bed profile between neighbouring cells. This has a number of benefits compared with previously implemented 'continuous-elevation'\napproaches. Firstly it can preserve stationary states at wet-dry fronts, while also permitting simulation of very shallow frictionally dominated flow down slopes as occurs in direct-rainfall flood models. Additionally the use of discontinuous-elevation enables the sharp resolution of rapid changes in the topography associated with e.g. narrow rectangular drainage channels, or buildings, without the computational expense of a very fine mesh. 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