On open boundary conditions for long wave equation in the hodograph plane

Publication date: Available online 10 January 2020Source: Physics Letters AAuthor(s): Baran AydınAbstractWe discuss implications of the seaward boundary conditions used in initial-boundary value problem formulation of nonlinear shallow-water wave propagation over a linear slope. We first demonstrate the reflection of wave velocity in the case of Dirichlet condition and that of water elevation in the case of Neumann condition. We then show that linear superposition of the two boundary conditions results in much less reflection at the artificial boundary. We also propose a new boundary condition of mixed type and compare its results with that of the aforementioned conditions.

Source: Physics Letters A - January 11, 2020 Category: Physics Source Type: research