Please use this identifier to cite or link to this item: doi:10.22028/D291-26506
Title: On the impact of the scheme for solving the higher–dimensional equation in coupled population balance systems
Author(s): John, Volker
Roland, Michael
Language: English
Year of Publication: 2008
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: Population balance systems are models for processes in nature and industry which lead to a coupled system of equations (Navier–Stokes equations, transport equations, ...) where the equations are defined in domains with different dimensions. This paper will study the impact of using different schemes for solving the three–dimensional equation of a precipitation process in a two–dimensional flow domain. The numerical schemes for the three–dimensional equation are assessed with respect to the median of the volume fraction of the particle size distribution and the computational costs. It turns out that in the case of a structured flow field with small variations in time all schemes give qualitatively the same results. For a highly time–dependent flow field, the evolution of the median of the volume fraction differs considerably between first order and higher order schemes.
Link to this record: urn:nbn:de:bsz:291-scidok-47547
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 224
Date of registration: 5-Jun-2013
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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