Abstract
The discretization of the viscous terms in a space discontinuous Galerkin method is investigated through a theoretical analysis and numerical calculations. Two formulations are considered : the first one uses a shifted cell and the other one auxiliary variables. Both are second order accurate on Cartesian meshes. They are applied to the interaction of a reflected shock with a boundary layer in a shock tube and compared to a higher order TVD scheme. Discontinuous Galerkin methods are found to provide accurate solutions for the unsteady compressible Navier-Stokes equations.
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© 1998 Springer-Verlag
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Drozo, C., Borrel, M., Lerat, A. (1998). Discontinuous Galerkin schemes for the compressible Navier-Stokes equations. In: Bruneau, CH. (eds) Sixteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106593
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DOI: https://doi.org/10.1007/BFb0106593
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