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Spectral analysis of the incompressible Navier-Stokes equations with different boundary conditions

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  • المؤلفون: La Cognata, Cristina; Nordström, Jan
  • نوع التسجيلة:
    Electronic Resource
  • الدخول الالكتروني :
    http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-139729
    LiTH-MAT-R, 0348-2960 ; 2017:10
  • معلومة اضافية
    • Publisher Information:
      Linköpings universitet, Beräkningsmatematik Linköpings universitet, Tekniska fakulteten Linköpings universitet, Beräkningsmatematik Linköpings universitet, Tekniska fakulteten Linköping 2017
    • نبذة مختصرة :
      The influence of boundary conditions on the spectrum of the incompressible Navier-Stokes equations is studied. The spectra associated to different types of boundary conditions are derived using the Fourier-Laplace technique. In particular, the effect of various combinations of generalized in- and outgoing variables on the convergence to the steady state is investigated. The boundary conditions are analysed in both the continuous and semi-discrete problems. In the latter, high-order schemes in summation-by-parts form with weakly imposed boundary conditions are used to approximate the equations. Numerical calculations are performed and show that the discrete behaviour agrees with the theoretical analysis.
    • الموضوع:
    • Availability:
      Open access content. Open access content
      info:eu-repo/semantics/openAccess
    • Note:
      application/pdf
      English
    • Other Numbers:
      UPE oai:DiVA.org:liu-139729
      1233384695
    • Contributing Source:
      UPPSALA UNIV LIBR
      From OAIster®, provided by the OCLC Cooperative.
    • الرقم المعرف:
      edsoai.on1233384695
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