3 papers
math.NA2026
Invariant-region-preserving high-order schemes for a model of reactive sedimentation
Juan Barajas-Calonge, Julio Careaga, Luis-Miguel Villada
Reactive sedimentation of mixtures composed by biological and inert solid matter including liquid substrates is modelled by a system of convection-diffusion-reaction equations. In…
math.NA2025
An invariant-region-preserving scheme for a convection-reaction-Cahn-Hilliard multiphase model of biofilm growth in slow sand filters
Julio Careaga, Stefan Diehl, Jaime Manríquez
A multidimensional model of biofilm growth present in the supernatant water of a Slow Sand Filter is derived. The multiphase model, consisting of solid and liquid phases, is writte…
math.NA2020
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area
Raimund Bürger, Julio Careaga, Stefan Diehl
Reactive settling denotes the process of sedimentation of small solid particles dispersed in a viscous fluid with simultaneous reactions between the components that constitute the…