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Practical Inlet Boundary Conditions for Internal Flow Calculations
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2018 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 175, p. 159-166Article in journal (Refereed) Published
Abstract [en]

To impose boundary conditions, data at the boundaries must be known, and consequently measurements of the imposed quantities must be available. In this paper, we consider the two most commonly used inflow boundary conditions with available data for internal flow calculations: the specification of the total temperature and total pressure. We use the energy method to prove that the specification of the total temperature and the total pressure together with the tangential velocity at an inflow boundary lead to well-posedness for the linearized compressible Euler equations. Next, these equations are discretized in space using high-order finite-difference operators on summation-by-parts form, and the boundary conditions are weakly imposed. The resulting numerical scheme is proven to be stable and the implementation of the corresponding nonlinear scheme is verified with the method of manufactured solutions. We also derive the spectrum for the continuous and discrete problems and show how to predict the convergence rate to steady state. Finally, nonlinear steady-state computations are performed, and they confirm the predicted convergence rates.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 175, p. 159-166
Keywords [en]
Internal flow, inlet boundary conditions, steady state, Euler equations, well-posedness, eigenmode analysis
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-150377DOI: 10.1016/j.compfluid.2018.08.011ISI: 000449128100013OAI: oai:DiVA.org:liu-150377DiVA, id: diva2:1240426
Available from: 2018-08-21 Created: 2018-08-21 Last updated: 2018-11-22

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The full text will be freely available from 2020-08-17 00:01
Available from 2020-08-17 00:01

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Laurén, FredrikNordström, Jan

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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