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Shallow water equations (SWE) are the main mathematical model used in coastal and regional ocean modeling. Realistic coastal ocean domains often include features with predominantly one-dimensional structure such as shipping channels or rivers. Accurately meshing and simulating in 2D requires very fine mesh resolution negatively affecting the CFL condition and resulting in significant computational overhead.

In this talk, a coupled 1D/2D modeling approach is presented in which 1D elements are embedded within the 2D domain as edges of the 2D elements while possessing a distinct bathymetry. This increases model flexibility and improves computational efficiency by allowing for larger time steps. Using the Discontinuous Galerkin (DG) method, we validated our model with idealized and realistic test cases while addressing the main challenge of conservative and stable coupling between 1D and 2D flows.