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Stable Interface Conditions for Discontinuous Galerkin Approximations of Navier-Stokes Equations

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Abstract

A study of boundary and interface conditions for Discontinuous Galerkin approximations of fluid flow equations is undertaken in this paper. While the interface flux for the inviscid case is usually computed by approximate Riemann solvers, most discretizations of the Navier-Stokes equations use an average of the viscous fluxes from neighboring elements. The paper presents a methodology for constructing a set of stable boundary/interface conditions that can be thought of as “viscous” Riemann solvers and are compatible with the inviscid limit.

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Authors and Affiliations

  1. Department of Mathematics, Univ. of Wyoming, Laramie, WY, 82071, USA

    Arunasalam Rahunanthan

  2. Department of Mathematics and Institute for Scientific Computing, Univ. of Wyoming, UW Postal Services, Dept. 3036, 1000 East University Avenue, Laramie, WY, 82071-3036, USA

    Dan Stanescu

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  1. Arunasalam Rahunanthan
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  2. Dan Stanescu
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Correspondence to Dan Stanescu.

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Rahunanthan, A., Stanescu, D. Stable Interface Conditions for Discontinuous Galerkin Approximations of Navier-Stokes Equations. J Sci Comput 41, 118–138 (2009). https://doi.org/10.1007/s10915-009-9290-4

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  • DOI: https://doi.org/10.1007/s10915-009-9290-4

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