Iterative schemes for surfactant transport in porous media
Davide Illiano, I. Pop, Florin A. Radu
Abstract
Abstract In this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three linearization techniques are discussed: the Newton method, the modified Picard, and the L-scheme. Based on these, monolithic and splitting schemes are proposed and their convergence is analyzed. The performance of these schemes is illustrated on five numerical examples. For these examples, the number of iterations and the condition numbers of the linear systems emerging in each iteration are presented.
Topics & Concepts
LinearizationPorous mediumRichards equationConvergence (economics)Pulmonary surfactantHydrogeologyNewton's methodFlow (mathematics)Applied mathematicsWork (physics)Iterative methodScheme (mathematics)MathematicsMechanicsPorosityNonlinear systemMathematical optimizationMathematical analysisThermodynamicsGeotechnical engineeringPhysicsGeometryEngineeringEconomicsWater contentQuantum mechanicsEconomic growthElectromagnetic Scattering and AnalysisWater Systems and OptimizationAdvanced Numerical Methods in Computational Mathematics