Abstract
We deal with the numerical solution of the compressible Navier-Stokes equations with the aid of the discontinuous Galerkin method. The space semi-discretization leads to a stiff system of ordinary differential equations. In order to accelerate a convergence to the steady-state solution we employ the semi-implicit time discretization which leads to the solution of linear algebra system at each time level. We focus on the solution of the arising linear algebra systems and propose a new efficient strategy for the steady-state solutions. The efficiency is demonstrated by a set of numerical experiments.
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Dolejší, V., Holík, M., Hozman, J. (2010). Semi-implicit Time Discretization of the Discontinuous Galerkin Method for the Navier-Stokes Equations. In: Kroll, N., Bieler, H., Deconinck, H., Couaillier, V., van der Ven, H., Sørensen, K. (eds) ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03707-8_17
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DOI: https://doi.org/10.1007/978-3-642-03707-8_17
Publisher Name: Springer, Berlin, Heidelberg
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