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Discontinuous Galerkin Finite Element Method for the Numerical Solution of Viscous Compressible Flows

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Numerical Mathematics and Advanced Applications
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Summary

We deal with the numerical solution of the compressible Navier-Stokes equations with the aid of the discontinuous Galerkin finite element (DG FE) approach with the nonsymmetric interior penalty terms. The linearization of diffusive terms and the treatment of the boundary conditions are discussed. Several numerical examples demonstrating the efficiency of the numerical method are presented.

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References

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Dolejší, V. (2004). Discontinuous Galerkin Finite Element Method for the Numerical Solution of Viscous Compressible Flows. In: Feistauer, M., Dolejší, V., Knobloch, P., Najzar, K. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18775-9_23

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  • DOI: https://doi.org/10.1007/978-3-642-18775-9_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62288-5

  • Online ISBN: 978-3-642-18775-9

  • eBook Packages: Springer Book Archive

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