  In this work, we present a high-order finite volume framework for the
numerical simulation of shallow water flows. The method is designed to
accurately capture complex dynamics inherent in shallow water systems,
particularly suited for applications such as tsunami simulations. The
arbitrarily high-order framework ensures precise representation of flow
behaviors, crucial for simulating phenomena characterized by rapid changes and
fine-scale features. Thanks to an {\it ad-hoc} reformulation in terms of
production-destruction terms, the time integration ensures positivity
preservation without any time-step restrictions, a vital attribute for physical
consistency, especially in scenarios where negative water depth reconstructions
could lead to unrealistic results. In order to introduce the preservation of
general steady equilibria dictated by the underlying balance law, the
high-order reconstruction and numerical flux are blended in a convex fashion
with a well-balanced approximation, which is able to provide exact preservation
of both static and moving equilibria. Through numerical experiments, we
demonstrate the effectiveness and robustness of the proposed approach in
capturing the intricate dynamics of shallow water flows, while preserving key
physical properties essential for flood simulations.
