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Speaker: Manuel Solano, University of Concepción, Chile
Title: Numerical approximation for a fluid flow problem arising from reverse osmosis modeling in water desalination
Abstract: We consider a mathematical model for coupled fluid flow problems arising from reverse osmosis modeling in water desalination processes. It consists of the coupled Navier-Stokes/transport equations, with nonlinear conditions across a semipermeable membrane. To solve these sets of partial differential equations, we present two different numerical methods. First, we employ a mixed finite element method able to capture several variables of interest such as the salt concentration level, pressure drop and fluid velocity. Secondly, a conservative hybridizable discontinuous Galerkin method is also employed. Through diverse numerical simulations and a variety of configurations, we illustrate the capability of both methods to accurately capture the behavior of saline water when passing through membrane-based reverse osmosis desalination channels.