A Conservative Isothermal Wall Boundary Condition for the Compressible Navier–Stokes Equations |
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Authors: | G B Jacobs D A Kopriva F Mashayek |
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Affiliation: | (1) Division of Applied Mathematics, Brown University, Providence, RI 02912, USA;(2) Department of Mathematics, The Florida State University, Tallahassee, FL 32306, USA;(3) Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, Chicago, IL 60607, USA |
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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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Keywords: | Wall boundary condition compressible Navier-Stokes high-order multidomain discontinuous Galerkin lid-driven cavity |
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