[FluidDynamicsApplication][FluidDynamicsHydraulicsApplication] Adding new hydraulic solver with fractional splitting approach

[uxuech]

📝 Description
In this PR, we introduce a new fractional-step hydraulic solver, independent of the previous hydraulic solver. The Navier-Stokes equations are solved using a new approach for two fluids to ensure conservation of mass and energy. Broadly speaking, without delving into the details of the formulation, part of the inertial term of the Navier-Stokes equations is solved first. This is why we introduce a new vector convection process. Subsequently, the free surface is convected, and finally, the remaining terms of the Navier-Stokes equations are resolved. This approach can be understood as a f_ractional splitting of the Navier-Stokes equations_.

Additionally, the mass source term is added only in the cut elements, with opposite signs in the air and water domains. This is why the term f has been slightly modified to remain consistent with the new formulation.

As a reminder, this PR is a continuation of PR #12960, aiming to integrate and complete the entire new two fluid NS formulation.

🆕 Changelog

• Two fluid fractional hydraulic solver with each corresponding tests
• Navier Stokes fractional convection process with each corresponding test
• New fluid auxiliary utilities are introduced to properly calculate the new mass source term. -Moved to other PR-
• New hydraulic fluid auxiliary utilities are added to prevent inflow problems in the domain -Moved to other PR-[FluidDynamicsHydraulicsApplication] Adding new hydraulic utilities; inflow detection and artificial viscosity. #13061