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20202026
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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.NA2024

A multilayer shallow water model for polydisperse reactive sedimentation

Julio Careaga, Víctor Osores

A three-dimensional model of polydisperse reactive sedimentation is developed by means of a multilayer shallow water approach. The model consists of a variety of solid particles of…

math.NA2023

Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors

Raimund Bürger, Julio Careaga, Stefan Diehl +1

Sequencing batch reactors (SBRs) are devices widely used in wastewater treatment, chemical engineering, and other areas. They allow for the sedimentation and compression of solid p…

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…