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A Conservative Isothermal Wall Boundary Condition for the Compressible Navier–Stokes Equations

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Abstract

We present a conservative isothermal wall boundary condition treatment for the compressible Navier-Stokes equations. The treatment is based on a manipulation of the Osher solver to predict the pressure and density at the wall, while specifying a zero boundary flux and a fixed temperature. With other solvers, a non-zero mass flux occurs through a wall boundary, which is significant at low resolutions in closed geometries. A simulation of a lid driven cavity flow with a multidomain spectral method illustrates the effect of the new boundary condition treatment.

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Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    G. B. Jacobs

  2. Department of Mathematics, The Florida State University, Tallahassee, FL, 32306, USA

    D. A. Kopriva

  3. Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, Chicago, IL, 60607, USA

    F. Mashayek

Authors
  1. G. B. Jacobs
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  2. D. A. Kopriva
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  3. F. Mashayek
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Correspondence to G. B. Jacobs.

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Jacobs, G.B., Kopriva, D.A. & Mashayek, F. A Conservative Isothermal Wall Boundary Condition for the Compressible Navier–Stokes Equations. J Sci Comput 30, 177–192 (2007). https://doi.org/10.1007/s10915-005-9040-1

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  • DOI: https://doi.org/10.1007/s10915-005-9040-1

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