The field of fluid dynamics and poroelasticity is witnessing significant advancements in numerical methods, driven by the need for more accurate and efficient simulations. Recent developments focus on improving the stability, consistency, and robustness of numerical schemes, particularly in the context of complex and multiphysics problems. Notably, researchers are exploring novel time discretization techniques, such as adaptive time-stepping and exponential time integrators, to enhance the accuracy and stability of simulations. Additionally, there is a growing interest in developing entropy-stable formulations and fully-mixed virtual element methods to mejor capture the underlying physics and improve computational performance. These innovations have the potential to significantly impact various fields, including engineering, physics, and geosciences. Noteworthy papers include: The generalized scalar auxiliary variable applied to the incompressible Boussinesq Equation, which introduces a novel time-stepping scheme with rigorous asymptotic error estimates. Adaptive time-stepping and maximum-principle preserving Lagrangian schemes for gradient flows, which proposes an adaptive time-stepping approach for gradient flows with distinct treatments for conservative and non-conservative dynamics.