Browsing by Author "Suciu, Carina"
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- ItemDirect discretizations of bi-variate population balance systems with finite difference schemes of different order(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) John, Volker; Suciu, CarinaThe accurate and efficient simulation of bi-variate population balance systems is nowadays a great challenge since the domain spanned by the external and internal coordinates is five-dimensional. This report considers direct discretizations of this equation in tensorproduct domains. In this situation, finite difference methods can be applied. The studied model includes the transport of dissolved potassium dihydrogen phosphate (KDP) and of energy (temperature) in a laminar flow field as well as the nucleation and growth of KDP particles. Two discretizations of the coupled model will be considered which differ only in the discretization of the population balance equation: a first order monotone upwind scheme and a third order essentially on-oscillatory (ENO) scheme. The Dirac term on the right-hand side of this equation is discretized with a finite volume method. The numerical results show that much different results are obtained even in the class of direct discretizations.
- ItemGekoppelte Simulation von Partikelpopulationen in turbulenten Strömungen : Verbundprojekt SimPaTurS ; Teilprojekt Turbulente Strömungen : Schlussbericht(Hannover : Technische Informationsbibliothek (TIB), 2010) John, Volker; Suciu, Carina[no abstract available]
- ItemA numerical method for the simulation of an aggregation-driven population balance system(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2011) Hackbusch, Wolfgang; John, Volker; Khachatryan, Aram; Suciu, CarinaA population balance system which models the synthesis of urea is studied in this paper. The equations for the flow field, the mass and the energy balances are given in a three-dimensional domain and the equation for the particle size distribution (PSD) in a four-dimensional domain. This problem is convection-dominated and aggregation-driven. Both features require the application of appropriate numerical methods. This paper presents a numerical approach for simulating the population balance system which is based on finite element schemes, a finite difference method and a modern method to evaluate convolution integrals that appear in the aggregation term. Two experiments are considered and the numerical results are compared with experimental data. Unknown parameters in the aggregation kernel have to be calibrated. For appropriately chosen parameters, good agreements are achieved of the experimental data and the numerical results computed with the proposed method. A detailed study of the computational results reveals the influence of different parts of the aggregation kernel.