Shallow-Flow Velocity Predictions Using Discontinuous Galerkin Solutions

Numerical solvers of the two-dimensional (2D) shallow water equations (2D-SWE) can be an efficient option to predict spatial distribution velocity fields in quasi-steady flows past or throughout hydraulic engineering structures. A second-order finite-volume (FV2) solver spuriously elongates small-scale recirculating eddies within its predictions, unless sustained by artificial eddy viscosity, while a third-order (FV3) distort predictions. The extra complexity discontinuous Galerkin (DG2) leads significantly reduced error dissipation and improved predictions at coarser resolution, making it viable contender acquire flows. This paper analyses this predictive capability for grid-based, open source DG2 with reference FV2 FV3 simulating magnitude direction submeter scale. simulated are assessed against measured data four experimental test cases. results consistently indicate that is competitive choice efficiently produce more accurate distributions simulations dominated smooth flow regions.