The recent developments in the research area of fluid dynamics and numerical methods have seen significant advancements in the simulation and analysis of complex wave phenomena. Researchers are increasingly focusing on developing stable and high-order numerical schemes that can handle non-hydrostatic effects and general equations of state, which are crucial for more accurate simulations of real-world scenarios. The integration of entropy-stable and well-balanced schemes has been particularly noteworthy, enabling the preservation of physical properties such as energy and positivity in numerical solutions. Additionally, there has been a push towards extending these methods to handle quasiperiodic boundary conditions and moving bottom-generated waves, which are essential for simulating phenomena like tsunamis and landslide-generated waves. These innovations not only enhance the robustness and accuracy of numerical models but also pave the way for more realistic and reliable simulations in engineering and scientific applications.

Noteworthy papers include one that introduces a novel algorithm for stable and high-order simulation of Dirichlet-Neumann Operators under quasiperiodic boundary conditions, and another that extends an entropy-stable and fully well-balanced scheme for the Euler equations with gravity to general equations of state.