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Convection-diffusio...
Convection-diffusion-reaction and transport-flow problems motivated by models of sedimentation: some recent advances
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- Burger, Raimund (författare)
- University of Concepción
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- Diehl, Stefan (författare)
- Lund University,Lunds universitet,Numerisk analys,Forskargrupper vid Lunds universitet,Partiella differentialekvationer,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Numerical Analysis,Lund University Research Groups,Partial differential equations,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Careaga, Julio (författare)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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visa fler...
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- Mejías, Camilo (författare)
- University of Concepción
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- Ruiz Baier, Ricardo (författare)
- University of Oxford
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Sirakov, B. (redaktör/utgivare)
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de Souza, P. N. (redaktör/utgivare)
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Viana, M. (redaktör/utgivare)
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visa färre...
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(creator_code:org_t)
- 2018
- 2018
- Engelska.
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Ingår i: Proceedings of the International Congress of Mathematicians 2018. - 9789813272873 ; Vol. IV: Invited Lectures, s. 3489-3514
- Relaterad länk:
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https://lup.lub.lu.s...
Abstract
Ämnesord
Stäng
- 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-standardproperties 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Publikations- och innehållstyp
- kon (ämneskategori)
- ref (ämneskategori)
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