Convection-diffusion-reaction and transport-flow problems motivated by models of sedimentation: some recent advances
(2018) International Congress of Mathematicians Vol. IV: Invited Lectures. p.3489-3514- Abstract
- The sedimentation of a suspension is a unit operation widely used in mineral processing, chemical engineering,wastewater treatment, and other industrial applications. Mathematical models that describe these processes and may be employed for simulation, design and control are usually given as nonlinear, time-dependent partial differential equations that in one space dimension include strongly degenerate convection-diffusion-reaction equations with discontinuous coefficients, and in two or more dimensions, coupled flowtransport problems. These models incorporate non-standard
properties that have motivated original research in applied mathematics and numerical analysis. This contribution summarizes recent advances, and presents original... (More) - The sedimentation of a suspension is a unit operation widely used in mineral processing, chemical engineering,wastewater treatment, and other industrial applications. Mathematical models that describe these processes and may be employed for simulation, design and control are usually given as nonlinear, time-dependent partial differential equations that in one space dimension include strongly degenerate convection-diffusion-reaction equations with discontinuous coefficients, and in two or more dimensions, coupled flowtransport problems. These models incorporate non-standard
properties that have motivated original research in applied mathematics and numerical analysis. This contribution summarizes recent advances, and presents original numerical results, for three different topics of research: a novel method of fluxidentification for a scalar conservation law from observation of curved shock trajectories that can be observed in sedimentation in a cone; a new description of continuous sedimentation with reactions including transport and reactions of biological components; and the numerical solution of a multi-dimensional sedimentation-consolidation system by an augmented mixed-primal method, including an a posteriori error estimation. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8a4302bf-90c9-4469-b3df-3c8e27a63655
- author
- Burger, Raimund ; Diehl, Stefan LU ; Careaga, Julio LU ; Mejías, Camilo and Ruiz Baier, Ricardo
- organization
- publishing date
- 2018
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Proceedings of the International Congress of Mathematicians 2018
- editor
- Sirakov, B. ; de Souza, P. N. and Viana, M.
- volume
- Vol. IV: Invited Lectures
- pages
- 3489 - 3514
- publisher
- World Scientific Publishing
- conference name
- International Congress of Mathematicians
- conference location
- Rio de Janeiro, Brazil
- conference dates
- 2018-08-01 - 2020-08-09
- external identifiers
-
- scopus:85085237524
- ISBN
- 978-981-3272-87-3
- language
- English
- LU publication?
- yes
- id
- 8a4302bf-90c9-4469-b3df-3c8e27a63655
- date added to LUP
- 2019-06-13 14:00:19
- date last changed
- 2022-03-25 20:16:20
@inproceedings{8a4302bf-90c9-4469-b3df-3c8e27a63655,
abstract = {{The sedimentation of a suspension is a unit operation widely used in mineral processing, chemical engineering,wastewater treatment, and other industrial applications. Mathematical models that describe these processes and may be employed for simulation, design and control are usually given as nonlinear, time-dependent partial differential equations that in one space dimension include strongly degenerate convection-diffusion-reaction equations with discontinuous coefficients, and in two or more dimensions, coupled flowtransport problems. These models incorporate non-standard<br/>properties that have motivated original research in applied mathematics and numerical analysis. This contribution summarizes recent advances, and presents original numerical results, for three different topics of research: a novel method of fluxidentification for a scalar conservation law from observation of curved shock trajectories that can be observed in sedimentation in a cone; a new description of continuous sedimentation with reactions including transport and reactions of biological components; and the numerical solution of a multi-dimensional sedimentation-consolidation system by an augmented mixed-primal method, including an a posteriori error estimation.}},
author = {{Burger, Raimund and Diehl, Stefan and Careaga, Julio and Mejías, Camilo and Ruiz Baier, Ricardo}},
booktitle = {{Proceedings of the International Congress of Mathematicians 2018}},
editor = {{Sirakov, B. and de Souza, P. N. and Viana, M.}},
isbn = {{978-981-3272-87-3}},
language = {{eng}},
pages = {{3489--3514}},
publisher = {{World Scientific Publishing}},
title = {{Convection-diffusion-reaction and transport-flow problems motivated by models of sedimentation: some recent advances}},
volume = {{Vol. IV: Invited Lectures}},
year = {{2018}},
}