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Paper · arXiv

A solver-in-the-loop framework for end-to-end differentiable coastal hydrodynamics

Numerical simulation of wave propagation and run-up is a cornerstone of coastal engineering and tsunami hazard assessment. However, applying these forward models to inverse problems, such as bathymetry estimation, source inversion, and structural optimization, remains notoriously difficult due to the rigidity and high computational cost of deriving discrete adjoints. In this paper, we introduce AegirJAX, a fully differentiable hydrodynamic solver based on the depth-integrated, non-hydrostatic shallow-water equations. By implementing the solver entirely within a reverse-mode automatic differentiation framework, AegirJAX treats the time-marching physics loop as a continuous computational gr...

AuthorsElsa Cardoso-Bihlo, Alex Bihlo
Primary categoryphysics.flu-dyn
Published8 April 2026
Last updated at source8 April 2026
physics.flu-dyncs.LGmath.NAphysics.ao-ph
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