Robust solvers for fully coupled transport and flow in saturated/unsaturated porous media (original) (raw)

Numerical simulations and laboratory studies are our main tools to comprehend better processes happening in the subsurface. The phenomena are modeled thanks to systems of partial differential equations (PDEs), which are extraordinarily complex to solve numerically due to their often highly nonlinear and tightly coupled character. After decades of research on new and improved solving algorithms, there is still a need for accurate and robust schemes. In this work, we investigate linearization schemes and splitting techniques for fully coupled flow and transport in porous media. A particular case of multiphase flow in porous media, the study of water flow in variably saturated porous media, modeled by the Richards equation, is studied here. An external component, e.g., a surfactant, is transported by the water phases. The resulting system of equations is fully coupled and nonlinear. In this work, we investigate three different linearization schemes, the classical Newton method, commonl...

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