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Nonlinear iteration methods for nonequilibrium multiphase subsurface flow
Institution:1. University of Naples Federico II, Department of Civil, Architectural and Environmental Engineering, via Claudio 21, 80125 Napoli, Italy;2. KWR Watercycle Research Institute, Groningenhaven 7, Nieuwegein, The Netherlands;3. Utrecht University, Department of Earth Sciences, Environmental Hydrogeology Group, Princetonplein 9, 3584 CC, Utrecht, The Netherlands;1. Fluid Dynamics Branch, National Institute for Aerospace Technology (INTA), Carretera de Ajalvir, Km.4, 28850 Torrejón de Ardoz, Spain;2. Applied Mathematics Department, School of Aerospace Engineering, Technical University of Madrid (UPM), Spain;1. College of mathematics and information science, Zhengzhou University of Light Industry, Zhengzhou 450002, China;2. Center for Computational Geosciences, Xi’an Jiaotong University, Xi’an, 710049,China;3. China nuclear power simulation technology company limited, Shenzhen 518115, China
Abstract:Fully implicit, fully coupled techniques are developed for simulating multiphase flow with nonequilibrium mass transfer between phases, with application to groundwater contaminant flow and transport. Numerical issues which are addressed include: use of MUSCL or Van Leer flux limiters to reduce numerical dispersion, use of full or approximate Jacobian for flux limiter methods, and variable substitution for increased Newton iteration efficiency. A comparison of the performance of equilibrium and nonequilibrium models is also presented.
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