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  • 1.
    Almqvist, Andreas
    et al.
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.
    Dasht, Johan
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    The homogenization process of the Reynolds equation describing compressible liquid flow2006In: Tribology International, ISSN 0301-679X, E-ISSN 1879-2464, Vol. 39, no 9, p. 994-1002Article in journal (Refereed)
    Abstract [en]

    This paper summarizes the homogenization process of rough, hydrodynamic lubrication problems governed by the Reynolds equation used to describe compressible liquid flow. Here, the homogenized equation describes the limiting result when the wavelength of a modeled surface roughness goes to zero. The lubricant film thickness is modeled by one part describing the geometry/shape of the bearing and a periodic part describing the surface topography/roughness. By varying the periodic part as well as its wavelength, we can try to systematically investigate the applicability of homogenization on this type of problem. The load carrying capacity is the target parameter; deterministic solutions are compared to homogenized by this measure. We show that the load carrying capacity rapidly converges to the homogenized results as the wavelength decreases, proving that the homogenized solution gives a very accurate representation of the problem when real surface topographies are considered

  • 2.
    Almqvist, Andreas
    et al.
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.
    Dasht, Johan
    Glavatskih, Sergei
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.
    Larsson, Roland
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.
    Marklund, Pär
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.
    Persson, Lars-Erik
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Sahlin, Fredrik
    Wall, Peter
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Homogenization of the Reynolds equation2005Report (Other academic)
  • 3.
    Almqvist, Andreas
    et al.
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.
    Glavatskih, Sergei
    Larsson, Roland
    Marklund, Pär
    Sahlin, Fredrik
    Dasht, Johan
    Persson, Lars-Erik
    Wall, Peter
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Homogenization of Reynolds equation2005Report (Other academic)
  • 4.
    Byström, Johan
    et al.
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Dasht, Johan
    Wall, Peter
    A numerical study of stochastic homogenization2003In: Proceedings of the International Conference on Composites Engineering: ICCE/10 / [ed] David Hui, 2003Conference paper (Refereed)
  • 5. Byström, Johan
    et al.
    Dasht, Johan
    Wall, Peter
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    A numerical study of the convergence in stochastic homogenization2004In: Journal of Analysis and Applications, ISSN 0972-5954, Vol. 2, no 3, p. 159-171Article in journal (Refereed)
    Abstract [en]

    This note makes the link between theoretical results on stochastic homogenization and effective computation of averaged coefficients for diffusion operators in random media. Examples of how to construct relevant random media and numerical results on the effective coefficients are given.

  • 6. Dasht, Johan
    Some developments of homogenization theory and Rothe's method2005Licentiate thesis, comprehensive summary (Other academic)
    Abstract [en]

    This thesis is devoted to homogenization theory and some generalizations of Rothe's method to non-cylindrical domains. It consists of two introductory chapters and four papers. Chapters 1 and 2 serve as a self-contained overview to the theory of homogenization. In the introduction we present the idea behind homogenization theory and in the second chapter some further results in homogenization theory are presented and some of the homogenization results from chapter 1 are proved. Paper A deals with a numerical study of stochastic homogenization and paper B deals with some generalizations of Rothe's method to non-cylindrical domains. Paper C is devoted to numerical analysis of the convergence in homogenization of composites and finally the degeneracy in stochastic homogenization is considered in the paper D.

  • 7. Dasht, Johan
    et al.
    Engström, Jonas
    Kufner, Alois
    Persson, Lars-Erik
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Rothe's method for parabolic equations on non-cylindrical domains2006In: Advances in Algebra and Analysis, ISSN 0973-2306, Vol. 1, no 1, p. 59-80Article in journal (Refereed)
  • 8. Dasht, Johan
    et al.
    Engström, Jonas
    Persson, Lars-Erik
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Degeneracy in stochastic homogenization2003In: Proceedings of the International Conference on Composites Engineering: ICCE/10 / [ed] David Hui, 2003Conference paper (Refereed)
  • 9. Dasht, Johan
    et al.
    Engström, Jonas
    Wall, Peter
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Numerical analysis of the convergence in homogenization of composites2002In: Proceedings of the International Conference on Composites Engineering: ICCE/9 / [ed] David Hui, 2002Conference paper (Refereed)
1 - 9 of 9
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