@Article{CiCP-4-231,
author = {Vít Dolejsí},
title = {Semi-Implicit Interior Penalty Discontinuous Galerkin Methods for Viscous Compressible Flows},
journal = {Communications in Computational Physics},
year = {2008},
volume = {4},
number = {2},
pages = {231--274},
abstract = {<p style="text-align: justify;">We deal with the numerical solution of the Navier-Stokes equations describing a motion of viscous compressible fluids. In order to obtain a sufficiently stable
higher order scheme with respect to the time and space coordinates, we develop a
combination of the discontinuous Galerkin finite element (DGFE) method for the space
discretization and the backward difference formulae (BDF) for the time discretization.
Since the resulting discrete problem leads to a system of nonlinear algebraic equations at each time step, we employ suitable linearizations of inviscid as well as viscous
fluxes which give a linear algebraic problem at each time step. Finally, the resulting
BDF-DGFE scheme is applied to steady as well as unsteady flows and achieved results
are compared with reference data.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7789.html}
}