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  • 1.
    Hansbo, Peter
    Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
    Lagrangian incompressible flow computations in three dimensions by use of space-time finite elements1995In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 20, no 8-9, p. 989-1001Article in journal (Refereed)
    Abstract [en]

    In this paper we describe a space-time finite element method, with elements aligned along the computed characteristics in space-time, for the computation of incompressible free surface flows in three dimensions.

  • 2. Nilsson, Bertil
    et al.
    Hansbo, Peter
    Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
    A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication2011In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 67, no 12, p. 2015-2025Article in journal (Refereed)
    Abstract [en]

    We present a cavitation model based on the Stokes equation and formulate adaptive finite element methods for its numerical solution. A posteriori error estimates and adaptive algorithms are derived, and numerical examples illustrating the theory are supplied, in particular with comparison to the simplified Reynolds model of lubrication.

  • 3.
    Nilsson, Bertil
    et al.
    Halmstad University.
    Hansbo, Peter
    Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
    Weak coupling of a Reynolds model and a Stokes model for hydrodynamic lubrication2011In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 66, no 6, p. 730-741Article in journal (Refereed)
    Abstract [en]

    The Reynolds model is a reduced Stokes model, valid for narrow lubrication regions. In order to be able to handle locally non-narrow regions such as pits or grooves, often displaying rapid geometrical variations, there is a need to be able to transit to the more accurate Stokes model. A fundamental problem is how to couple the two models in a numerical simulation, preferably allowing for different meshes in the different domains. In this paper, we present a weak coupling method for Reynolds and Stokes models for lubrication computations, including the possibility of cavitation in the different regions. The paper concludes with a numerical example.

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