Tidal and surge modelling using differential quadrature: A case study in the Bristol Channel

Abstract

The Incremental Differential Quadrature Method (IDQM) was applied to a tidal and surge model of the Bristol Channel, UK. The method is considered as an alternative new numerical technique in the field of marine hydraulics and its performance was examined through this case study. For validation of the simulated results, tide gauge data along the Bristol Channel was used. Another well known 1D model (MIKE11) and a quasi-3D model (POLCOMS) provided more insight into the flow pattern of the estuary and additional validation data. Similar to MIKE11, IDQM is unconditionally stable and so time steps of around 45 min achieved good results for the Bristol Channel, whereas for methods which are restricted to the CFL criterion (e.g. explicit finite differencing schemes), the time step is limited to around 3 min. Since there is no stability constraint in IDQM, the time step must be selected with reference to accuracy rather than stability. The usefulness of IDQM was also demonstrated by using a small number of grid points (11 along the 110 km length of the Bristol Channel) to produce accurate results. Based on the results of this case study, it is concluded that IDQM can be successfully implemented for 1D modelling of tidal elevations and surges in non-prismatic irregular channels.