Entropy solutions and flux identification of a scalar conservation law modelling centrifugal sedimentation
(2020) In Mathematical Methods in the Applied Sciences 43(7). p.4530-4557- Abstract
Centrifugal sedimentation of an ideal suspension in a rotating tube or basket can be modelled by an initial-boundary-value problem for a scalar conservation law with a nonconvex flux function. The sought unknown is the volume fraction of solids as function of radial distance and time for constant initial data. The method of characteristics is used to construct entropy solutions. The qualitatively different solutions, which depend on the initial value and the vessel radial coordinates, are presented in detail along with numerical simulations. Based on the entropy solutions, a new method of flux identification, which does not require any prescribed functional expression, is presented and illustrated with synthetic data.
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https://lup.lub.lu.se/record/640a1f65-0a63-4f92-a8ce-906e058a3dbc
- author
- Careaga, Julio LU and Diehl, Stefan LU
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- hindered settling, inverse problem, Kynch constitutive assumption, method of characteristics, nonconvex flux function, nonlinear hyperbolic PDE, separation process
- in
- Mathematical Methods in the Applied Sciences
- volume
- 43
- issue
- 7
- pages
- 28 pages
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- scopus:85083534730
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.6212
- language
- English
- LU publication?
- yes
- id
- 640a1f65-0a63-4f92-a8ce-906e058a3dbc
- date added to LUP
- 2020-04-29 08:32:14
- date last changed
- 2022-04-18 22:01:34
@article{640a1f65-0a63-4f92-a8ce-906e058a3dbc, abstract = {{<p>Centrifugal sedimentation of an ideal suspension in a rotating tube or basket can be modelled by an initial-boundary-value problem for a scalar conservation law with a nonconvex flux function. The sought unknown is the volume fraction of solids as function of radial distance and time for constant initial data. The method of characteristics is used to construct entropy solutions. The qualitatively different solutions, which depend on the initial value and the vessel radial coordinates, are presented in detail along with numerical simulations. Based on the entropy solutions, a new method of flux identification, which does not require any prescribed functional expression, is presented and illustrated with synthetic data.</p>}}, author = {{Careaga, Julio and Diehl, Stefan}}, issn = {{0170-4214}}, keywords = {{hindered settling; inverse problem; Kynch constitutive assumption; method of characteristics; nonconvex flux function; nonlinear hyperbolic PDE; separation process}}, language = {{eng}}, number = {{7}}, pages = {{4530--4557}}, publisher = {{John Wiley & Sons Inc.}}, series = {{Mathematical Methods in the Applied Sciences}}, title = {{Entropy solutions and flux identification of a scalar conservation law modelling centrifugal sedimentation}}, url = {{http://dx.doi.org/10.1002/mma.6212}}, doi = {{10.1002/mma.6212}}, volume = {{43}}, year = {{2020}}, }