activity
20202026
most citedA method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area

12 citations · 41 across the 8 of their papers we have counts for

collaborators

9 papers

math.NA2026

Mixed finite element methods for a heat-assisted model of sedimentation

Julio Careaga, Cristian Inzunza

A model for the consolidation-sedimentation process incorporating thermal effects is analysed. The model is motivated by novel applications to heat-assisted sedimentation of minera…

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.NA2022★ 11 cited

A model of reactive settling of activated sludge: comparison with experimental data

Raimund Bürger, Julio Careaga, Stefan Diehl +1

A non-negligible part of the biological reactions in the activated sludge process for treatment of wastewater takes place in secondary settling tanks that follow biological reactor…

math.NA2021★ 8 cited

A moving-boundary model of reactive settling in wastewater treatment. Part 2: Numerical scheme

Raimund Bürger, Julio Careaga, Stefan Diehl +1

A numerical scheme is proposed for the simulation of reactive settling in sequencing batch reactors (SBRs) in wastewater treatment plants. Reactive settling is the process of sedim…

math.NA2021★ 10 cited

A moving-boundary model of reactive settling in wastewater treatment. Part 1: Governing equations

Raimund Bürger, Julio Careaga, Stefan Diehl +1

Reactive settling is the process of sedimentation of small solid particles in a fluid with simultaneous reactions between the components of the solid and liquid phases. This proces…

math.NA2020★ 12 cited

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…