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  • 1.
    Bortolin, Gianantonio
    et al.
    KTH, Superseded Departments, Mathematics.
    Borg, S.
    Gutman, P. O.
    Modeling of the wet end part of a paper mill with Dymola2004In: Mathematics and Computers in Simulation, ISSN 0378-4754, E-ISSN 1872-7166, Vol. 65, no 1-2, p. 31-38Article in journal (Refereed)
    Abstract [en]

    This paper describes the ongoing research on the physical modeling of AssiDoman paper mill in Frovi (Sweden). This project includes the developing of a Modelica base library for thermohydraulic, pulp and paper systems. Up to now, the model includes the wet end part of the paper process, that is the approaching system from the mixing chests to the cyclone systems, the headboxes and the wires.

  • 2.
    Do-Quang, Minh
    et al.
    KTH, School of Engineering Sciences (SCI), Mechanics, Physicochemical Fluid Mechanics.
    Amberg, Gustav
    KTH, School of Engineering Sciences (SCI), Mechanics, Physicochemical Fluid Mechanics.
    Numerical simulation of the coupling problems of a solid sphere impacting on a liquid free surface2010In: Mathematics and Computers in Simulation, ISSN 0378-4754, E-ISSN 1872-7166, Vol. 80, no 8, p. 1664-1673Article in journal (Refereed)
    Abstract [en]

    This paper presents a model, using a phase-field method, that is able to simulate the motion of a solid sphere impacting on a liquid surface, including the effects of capillary and hydrodynamic forces. The basic phenomena that were the subject of our research effort are the small scale mechanism such as the wetting property of the solid surface which control the large scale phenomena of the interaction. The coupled problem during the impact will be formulated by the inclusion of the surface energies of the solid surface in the formulation, which gives a reliable prediction of the motion of solid objects in/on/out of a liquid surface and the hydrodynamic behaviours at small scales when the inertia of fluid is less important than its surface tension. Numerical results at different surface wettabilities and impact conditions will be presented and compared with the experiments of Duez el al. [C. Duez, C. Ybert, C. Clanet, L. Bocquet, Nat. Phys. 3 (2007) 180-183] and Lee and Kim [D. Lee. H. Kim, Langmuir 24 (1) (2008) 142]. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.

  • 3.
    Do-Quang, minh
    et al.
    KTH, Superseded Departments, Mechanics.
    Singer-Loginova, I
    Villanueva, Walter
    KTH, Superseded Departments, Mechanics.
    Amberg, Gustav
    KTH, Superseded Departments, Mechanics.
    Problem Solving Environment for Parallel Adaptive Computation2004In: Mathematics and Computers in Simulation, ISSN 0378-4754, E-ISSN 1872-7166Article in journal (Other academic)
  • 4.
    Hanke, Michael
    et al.
    KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.
    Olsson, K. Henrik A.
    KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.
    Strömgren, Magnus
    KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.
    Stability Analysis of a Degenerate Hyperbolic System Modelling a Heat Exchanger2007In: Mathematics and Computers in Simulation, ISSN 0378-4754, E-ISSN 1872-7166, Vol. 74, no 1, p. 8-19Article in journal (Refereed)
    Abstract [en]

    Mathematical modelling of a heat exchanger in a carbon dioxide heat pump, an evaporator, is considered. A reduced model, called the the zero Mach-number limit, is derived from the Euler equations of compressible liquid flow through elimination of time scales associated with sound waves. The well-posedness of the resulting partial differential-algebraic equation (PDAE) is investigated by analysis of a frozen coefficient linearisation as well as by numerical experiments.

    The linear stability analysis is done through transformation to a canonical form with one hyperbolic component and one parabolic block of dimension 2. Using this canonical form it is seen how to prescribe boundary and initial data and an energy estimate is derived.

    Numerical experiments on the nonlinear PDAE using a finite difference spatial discretisation support the linear stability analysis.

  • 5. Strömgren, Magnus
    et al.
    Hanke, Michael
    KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
    On the numerical approximation of a degenerated hyperbolic system2009In: Mathematics and Computers in Simulation, ISSN 0378-4754, E-ISSN 1872-7166, Vol. 79, no 5, p. 1585-1602Article in journal (Refereed)
    Abstract [en]

    The heat exchanger in a heat pump system may be conveniently described by a degenerated hyperbolic system, namely the zero Mach-number limit of the Euler equations. This leads to a mixed hyperbolic/parabolic system with coupled time-dependent boundary conditions. We propose a method-of-lines discretisation by using an upwinding scheme. We derive stability estimates for the linearisation with frozen coefficients. The resulting differential-algebraic equation has a perturbation index of 2 and a weak instability with respect to the space step size. The latter property is validated experimentally even for the nonlinear system. In contrast, the perturbation index did not exceed one in the numerical experiments.

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