Transformation Approaches for Simulating Flow in Variably Satuarated Porous Media
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF ENVIRONMENTAL SCIENCES AND ENGINEERING
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Sharp fronts with rapid changes in fluid saturations over short distance and time scales often exist in multiphase flow in subsurface systems. Such highly nonlinear problems are notoriously difficult to solve, and standard solution approaches are often inefficient and unreliable. We summarize four existing and one new transformation method IT2 for solving Richards equation within a common framework and compare performance for a wide range of media properties. We show that transformation methods can significantly improve solution efficiency and robustness compared to standard solution approaches transformation parameters depend upon auxiliary conditions, media properties, and spatial and temporal discretization and IT2 compares favorably with existing transforms.
- Hydrology, Limnology and Potamology
- Numerical Mathematics
- Fluid Mechanics